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 | ||
31a298bb 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, | |
ff1993c7 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 | ||
d472b9a1 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 | ||
f984b31a | 65 | sz = Py_SIZE(l); |
d7ab1bab | 66 | if (sz < 0) sz = -sz; |
31a298bb | 67 | bits = (unsigned long)sz * PyLong_SHIFT; |
d7ab1bab | 68 | w = (bits + MPW_BITS - 1)/MPW_BITS; |
f984b31a | 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; | |
31a298bb | 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); | |
31a298bb | 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; |
31a298bb 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) { | |
31a298bb MW |
109 | l->ob_digit[i++] = r & PyLong_MASK; |
110 | r >>= PyLong_SHIFT; | |
d7ab1bab | 111 | } |
f984b31a | 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 | ||
cfb291f0 | 120 | if (TEXT_CHECK(o)) { |
d7ab1bab | 121 | mptext_stringctx sc; |
122 | mp *x; | |
cfb291f0 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); | |
cfb291f0 | 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); | |
cfb291f0 | 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) | |
e8cd4ca5 | 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 | ||
1810cc51 | 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); | |
4ea7701c | 237 | } |
d472b9a1 | 238 | #ifdef PY2 |
4ea7701c | 239 | else if (PyInt_Check(o)) |
d7ab1bab | 240 | return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o))); |
d472b9a1 | 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", | |
f984b31a | 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", | |
f984b31a | 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 | ||
ef6b9516 | 290 | mp *implicitmp(PyObject *o) |
bf8910bd | 291 | { |
7032ee7c MW |
292 | PyObject *l; |
293 | ||
294 | if (!o || GF_PYCHECK(o) || FE_PYCHECK(o)) return (0); | |
295 | else if (MP_PYCHECK(o)) return (MP_COPY(MP_X(o))); | |
296 | else if (PFILT_PYCHECK(o)) return (MP_COPY(PFILT_F(o)->m)); | |
297 | #ifdef PY2 | |
298 | else if (PyInt_Check(o)) return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o))); | |
299 | #endif | |
300 | else if ((l = PyNumber_Index(o)) != 0) { | |
301 | #ifdef PY2 | |
302 | if (PyInt_Check(o)) return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o))); | |
303 | #endif | |
304 | if (PyLong_Check(o)) return (mp_frompylong(o)); | |
305 | } | |
306 | PyErr_Clear(); return (0); | |
bf8910bd MW |
307 | } |
308 | ||
ef6b9516 | 309 | mp *implicitgf(PyObject *o) |
bf8910bd | 310 | { |
7032ee7c MW |
311 | if (GF_PYCHECK(o)) return (MP_COPY(MP_X(o))); |
312 | return (0); | |
bf8910bd MW |
313 | } |
314 | ||
d7ab1bab | 315 | static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) |
316 | { | |
bf8910bd MW |
317 | if ((*xx = implicitmp(x)) == 0) |
318 | return (-1); | |
319 | if ((*yy = implicitmp(y)) == 0) { | |
320 | MP_DROP(*xx); | |
321 | return (-1); | |
322 | } | |
323 | return (0); | |
324 | } | |
325 | ||
326 | static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) | |
327 | { | |
328 | if ((*xx = implicitgf(x)) == 0) | |
d7ab1bab | 329 | return (-1); |
bf8910bd | 330 | if ((*yy = implicitgf(y)) == 0) { |
d7ab1bab | 331 | MP_DROP(*xx); |
332 | return (-1); | |
333 | } | |
334 | return (0); | |
335 | } | |
336 | ||
1810cc51 MW |
337 | #define FPBINOP(name, pyop) \ |
338 | static PyObject *mp_py##name(PyObject *x, PyObject *y) { \ | |
339 | mp *xx, *yy, *zz; \ | |
340 | PyObject *l, *rc; \ | |
341 | if (PyFloat_Check(x)) { \ | |
342 | l = mp_topylong(MP_X(y)); rc = PyNumber_##pyop(x, l); \ | |
343 | Py_DECREF(l); return (rc); \ | |
344 | } else if (PyFloat_Check(y)) { \ | |
345 | l = mp_topylong(MP_X(x)); rc = PyNumber_##pyop(l, y); \ | |
346 | Py_DECREF(l); return (rc); \ | |
347 | } \ | |
348 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ | |
349 | zz = mp_##name(MP_NEW, xx, yy); \ | |
350 | MP_DROP(xx); MP_DROP(yy); \ | |
351 | return (mp_pywrap(zz)); \ | |
352 | } | |
353 | FPBINOP(add, Add) | |
354 | FPBINOP(sub, Subtract) | |
355 | FPBINOP(mul, Multiply) | |
356 | ||
d7ab1bab | 357 | #define gf_and mp_and |
358 | #define gf_or mp_or | |
359 | #define gf_xor mp_xor | |
360 | #define BINOP(pre, name) \ | |
361 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
362 | mp *xx, *yy, *zz; \ | |
bf8910bd | 363 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
d7ab1bab | 364 | zz = pre##_##name(MP_NEW, xx, yy); \ |
365 | MP_DROP(xx); MP_DROP(yy); \ | |
366 | return (pre##_pywrap(zz)); \ | |
367 | } | |
d7ab1bab | 368 | BINOP(mp, and2c) |
369 | BINOP(mp, or2c) | |
370 | BINOP(mp, xor2c) | |
371 | BINOP(gf, add) | |
372 | BINOP(gf, sub) | |
373 | BINOP(gf, mul) | |
374 | BINOP(gf, and) | |
375 | BINOP(gf, or) | |
376 | BINOP(gf, xor) | |
377 | #undef BINOP | |
378 | ||
379 | static mp *mp_abs(mp *d, mp *x) | |
380 | { | |
381 | if (MP_NEGP(x)) | |
382 | return (mp_neg(d, x)); | |
383 | MP_COPY(x); | |
384 | if (d) MP_DROP(d); | |
385 | return (x); | |
386 | } | |
387 | ||
388 | #define UNOP(pre, name) \ | |
389 | static PyObject *pre##_py##name(PyObject *x) \ | |
390 | { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); } | |
391 | UNOP(mp, neg) | |
392 | UNOP(mp, abs) | |
393 | UNOP(mp, not2c) | |
394 | #undef UNOP | |
395 | ||
396 | static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); } | |
397 | ||
398 | #define gf_lsr mp_lsr | |
535b6476 | 399 | #define SHIFTOP(pre, PRE, name, rname) \ |
d7ab1bab | 400 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ |
535b6476 | 401 | PyObject *yix = 0; \ |
d7ab1bab | 402 | PyObject *z = 0; \ |
403 | long n; \ | |
535b6476 MW |
404 | if (!PRE##_PYCHECK(x)) RETURN_NOTIMPL; \ |
405 | if (GF_PYCHECK(y) || FE_PYCHECK(y)) RETURN_NOTIMPL; \ | |
406 | yix = PyNumber_Index(y); if (!yix) { PyErr_Clear(); RETURN_NOTIMPL; } \ | |
407 | n = PyInt_AsLong(yix); Py_DECREF(yix); \ | |
408 | if (n == -1 && PyErr_Occurred()) { PyErr_Clear(); RETURN_NOTIMPL; } \ | |
409 | if (n < 0) z = pre##_pywrap(mp_##rname(MP_NEW, MP_X(x), -n)); \ | |
410 | else z = pre##_pywrap(mp_##name(MP_NEW, MP_X(x), n)); \ | |
d7ab1bab | 411 | return (z); \ |
412 | } | |
535b6476 MW |
413 | SHIFTOP(mp, MP, lsl2c, lsr2c) |
414 | SHIFTOP(mp, MP, lsr2c, lsl2c) | |
415 | SHIFTOP(gf, GF, lsl, lsr) | |
416 | SHIFTOP(gf, GF, lsr, lsl) | |
d7ab1bab | 417 | #undef SHIFTOP |
418 | ||
419 | #define DIVOP(pre, name, qq, rr, gather) \ | |
420 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
421 | mp *xx, *yy; \ | |
422 | PyObject *z = 0; \ | |
423 | INIT_##qq(q) INIT_##rr(r) \ | |
bf8910bd | 424 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
d7ab1bab | 425 | if (MP_ZEROP(yy)) \ |
426 | ZDIVERR("division by zero"); \ | |
427 | pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \ | |
428 | z = gather; \ | |
429 | end: \ | |
430 | MP_DROP(xx); MP_DROP(yy); \ | |
431 | return (z); \ | |
432 | } | |
433 | #define INIT_YES(p) mp *p = MP_NEW; | |
434 | #define INIT_NO(p) | |
435 | #define ARG_YES(p) &p | |
436 | #define ARG_NO(p) 0 | |
437 | DIVOP(mp, divmod, YES, YES, | |
438 | Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r))) | |
439 | DIVOP(mp, div, YES, NO, mp_pywrap(q)) | |
440 | DIVOP(mp, mod, NO, YES, mp_pywrap(r)) | |
441 | DIVOP(gf, divmod, YES, YES, | |
442 | Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r))) | |
443 | DIVOP(gf, div, YES, NO, gf_pywrap(q)) | |
444 | DIVOP(gf, mod, NO, YES, gf_pywrap(r)) | |
445 | #undef INIT_YES | |
446 | #undef INIT_NO | |
447 | #undef ARG_YES | |
448 | #undef ARG_NO | |
449 | #undef DIVOP | |
450 | ||
451 | static mp *mp_modinv_checked(mp *d, mp *x, mp *p) | |
452 | { | |
453 | mp *g = MP_NEW; | |
454 | mp_gcd(&g, 0, &d, p, x); | |
455 | if (!MP_EQ(g, MP_ONE)) { | |
456 | MP_DROP(g); MP_DROP(d); | |
457 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
458 | return (0); | |
459 | } | |
460 | MP_DROP(g); return (d); | |
461 | } | |
462 | ||
463 | static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z) | |
464 | { | |
465 | mp *xx = 0, *yy = 0, *zz = 0; | |
466 | mp *r = 0; | |
467 | PyObject *rc = 0; | |
468 | ||
bf8910bd | 469 | if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 || |
f3e22904 | 470 | (z && z != Py_None && (zz = implicitmp(z)) == 0)) { |
d7ab1bab | 471 | mp_drop(xx); mp_drop(yy); mp_drop(zz); |
472 | RETURN_NOTIMPL; | |
473 | } | |
474 | if (!z || z == Py_None) { | |
475 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
476 | r = mp_exp(MP_NEW, xx, yy); | |
477 | } else { | |
478 | if (!MP_POSP(zz)) VALERR("modulus must be positive"); | |
479 | if (MP_NEGP(yy)) { | |
480 | if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end; | |
481 | yy = mp_neg(yy, yy); | |
482 | } | |
483 | if (MP_ODDP(zz)) { | |
484 | mpmont mm; | |
485 | mpmont_create(&mm, zz); | |
486 | r = mpmont_exp(&mm, MP_NEW, xx, yy); | |
487 | mpmont_destroy(&mm); | |
488 | } else { | |
489 | mpbarrett mb; | |
490 | mpbarrett_create(&mb, zz); | |
491 | r = mpbarrett_exp(&mb, MP_NEW, xx, yy); | |
492 | mpbarrett_destroy(&mb); | |
493 | } | |
494 | } | |
495 | rc = mp_pywrap(r); | |
496 | end: | |
497 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
498 | return (rc); | |
499 | } | |
500 | ||
501 | static mp *gf_modinv_checked(mp *d, mp *x, mp *p) | |
502 | { | |
503 | mp *g = MP_NEW; | |
504 | gf_gcd(&g, 0, &d, p, x); | |
505 | if (!MP_EQ(g, MP_ONE)) { | |
506 | MP_DROP(g); MP_DROP(d); | |
507 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
508 | return (0); | |
509 | } | |
510 | MP_DROP(g); return (d); | |
511 | } | |
512 | ||
513 | #define BASEOP(name, radix, pre) \ | |
514 | static PyObject *mp_py##name(PyObject *x) \ | |
515 | { return mp_topystring(MP_X(x), radix, 0, pre, 0); } | |
d472b9a1 | 516 | #ifdef PY2 |
d7ab1bab | 517 | BASEOP(oct, 8, "0"); |
d472b9a1 | 518 | #endif |
d7ab1bab | 519 | BASEOP(hex, 16, "0x"); |
520 | #undef BASEOP | |
521 | ||
522 | static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); } | |
523 | ||
524 | static PyObject *mp_pyint(PyObject *x) | |
525 | { | |
526 | long l; | |
bc243788 MW |
527 | if (!mp_tolong_checked(MP_X(x), &l, 0)) return (PyInt_FromLong(l)); |
528 | else return mp_topylong(MP_X(x)); | |
d7ab1bab | 529 | } |
d472b9a1 | 530 | #ifdef PY2 |
d7ab1bab | 531 | static PyObject *mp_pylong(PyObject *x) |
f368b46e | 532 | { return (mp_topylong(MP_X(x))); } |
d472b9a1 | 533 | #endif |
d7ab1bab | 534 | static PyObject *mp_pyfloat(PyObject *x) |
535 | { | |
f368b46e | 536 | PyObject *l = mp_topylong(MP_X(x)); |
d7ab1bab | 537 | double f = PyLong_AsDouble(l); |
538 | Py_DECREF(l); | |
539 | return (PyFloat_FromDouble(f)); | |
540 | } | |
541 | ||
d472b9a1 | 542 | #ifdef PY2 |
b2687a0a | 543 | #define COERCE(pre, PRE) \ |
d7ab1bab | 544 | static int pre##_pycoerce(PyObject **x, PyObject **y) \ |
545 | { \ | |
546 | mp *z; \ | |
547 | \ | |
548 | if (PRE##_PYCHECK(*y)) { \ | |
549 | Py_INCREF(*x); Py_INCREF(*y); \ | |
550 | return (0); \ | |
551 | } \ | |
a70a5a80 | 552 | if ((z = implicit##pre(*y)) != 0) { \ |
d7ab1bab | 553 | Py_INCREF(*x); \ |
554 | *y = pre##_pywrap(z); \ | |
555 | return (0); \ | |
556 | } \ | |
557 | return (1); \ | |
558 | } | |
559 | COERCE(mp, MP) | |
560 | COERCE(gf, GF) | |
561 | #undef COERCE | |
d472b9a1 | 562 | #endif |
d7ab1bab | 563 | |
1810cc51 MW |
564 | static PyObject *mp_pyrichcompare(PyObject *x, PyObject *y, int op) |
565 | { | |
566 | mp *xx, *yy; | |
567 | PyObject *l, *rc; | |
568 | if (PyFloat_Check(y)) { | |
569 | l = mp_topylong(MP_X(x)); rc = PyObject_RichCompare(l, y, op); | |
570 | Py_DECREF(l); return (rc); | |
571 | } | |
572 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; | |
573 | rc = enrich_compare(op, mp_cmp(xx, yy)); | |
574 | MP_DROP(xx); MP_DROP(yy); | |
575 | return (rc); | |
576 | } | |
577 | ||
d472b9a1 | 578 | #ifdef PY2 |
d7ab1bab | 579 | static int mp_pycompare(PyObject *x, PyObject *y) |
580 | { return mp_cmp(MP_X(x), MP_X(y)); } | |
d472b9a1 | 581 | #endif |
d7ab1bab | 582 | |
583 | static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
584 | { | |
585 | PyObject *x; | |
586 | mp *z; | |
587 | mp_pyobj *zz = 0; | |
588 | int radix = 0; | |
827f89d7 | 589 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 590 | |
827f89d7 | 591 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", KWLIST, &x, &radix)) |
d7ab1bab | 592 | goto end; |
593 | if (MP_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 594 | if (!good_radix_p(radix, 1)) VALERR("bad radix"); |
d7ab1bab | 595 | if ((z = mp_frompyobject(x, radix)) == 0) { |
596 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", | |
f984b31a | 597 | Py_TYPE(x)->tp_name); |
d7ab1bab | 598 | goto end; |
599 | } | |
600 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
601 | zz->x = z; | |
602 | end: | |
603 | return ((PyObject *)zz); | |
604 | } | |
605 | ||
1e8aaf8b MW |
606 | #define IMPLICIT(pre) \ |
607 | static PyObject *pre##meth__implicit(PyObject *me, PyObject *arg) \ | |
608 | { \ | |
609 | PyObject *x, *rc = 0; \ | |
610 | mp *y = MP_NEW; \ | |
611 | if (!PyArg_ParseTuple(arg, "O:_implicit", &x)) goto end; \ | |
612 | y = implicit##pre(x); \ | |
613 | if (!y) TYERR("can't convert implicitly to " #pre); \ | |
614 | rc = pre##_pywrap(y); \ | |
615 | end: \ | |
616 | return (rc); \ | |
617 | } | |
618 | IMPLICIT(mp) | |
619 | IMPLICIT(gf) | |
620 | #undef IMPLICIT | |
621 | ||
620169ae | 622 | Py_hash_t mphash(mp *x) |
d7ab1bab | 623 | { |
be6df1c3 | 624 | PyObject *l = mp_topylong(x); |
620169ae | 625 | Py_hash_t h = PyObject_Hash(l); |
f368b46e | 626 | Py_DECREF(l); return (h); |
d7ab1bab | 627 | } |
628 | ||
620169ae | 629 | static Py_hash_t mp_pyhash(PyObject *me) { return (mphash(MP_X(me))); } |
be6df1c3 | 630 | |
d7ab1bab | 631 | static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg) |
632 | { | |
633 | mp *y = 0; | |
634 | PyObject *z = 0; | |
635 | ||
636 | if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end; | |
637 | z = PyInt_FromLong(mp_jacobi(y, MP_X(me))); | |
638 | end: | |
639 | if (y) MP_DROP(y); | |
640 | return (z); | |
641 | } | |
642 | ||
643 | #define BITOP(pre, name, c) \ | |
644 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
645 | { \ | |
a1be89ad MW |
646 | unsigned long i; \ |
647 | if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \ | |
d7ab1bab | 648 | return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \ |
649 | } | |
650 | BITOP(mp, setbit, 2c); | |
651 | BITOP(mp, clearbit, 2c); | |
b2687a0a | 652 | BITOP(gf, setbit, ); |
d7ab1bab | 653 | BITOP(gf, clearbit, ); |
654 | #undef BITOP | |
655 | ||
656 | static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg) | |
657 | { | |
a1be89ad MW |
658 | unsigned long i; |
659 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 660 | return (getbool(mp_testbit2c(MP_X(me), i))); |
661 | } | |
662 | ||
663 | static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg) | |
664 | { | |
a1be89ad MW |
665 | unsigned long i; |
666 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 667 | return (getbool(mp_testbit(MP_X(me), i))); |
668 | } | |
669 | ||
7a75bb76 | 670 | static PyObject *mpmeth_odd(PyObject *me) |
d7ab1bab | 671 | { |
672 | mp *t; | |
673 | size_t s; | |
674 | ||
d7ab1bab | 675 | t = mp_odd(MP_NEW, MP_X(me), &s); |
676 | return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t))); | |
677 | } | |
678 | ||
7a75bb76 MW |
679 | static PyObject *mpmeth_sqr(PyObject *me) |
680 | { return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me)))); } | |
d7ab1bab | 681 | |
7a75bb76 | 682 | static PyObject *mpmeth_sqrt(PyObject *me) |
d7ab1bab | 683 | { |
d7ab1bab | 684 | if (MP_NEGP(MP_X(me))) VALERR("negative root"); |
685 | return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me)))); | |
686 | end: | |
687 | return (0); | |
688 | } | |
689 | ||
690 | static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg) | |
691 | { | |
692 | mp *y = 0, *zz = MP_NEW; | |
693 | PyObject *z = 0; | |
694 | ||
695 | if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end; | |
696 | mp_gcd(&zz, 0, 0, MP_X(me), y); | |
697 | z = mp_pywrap(zz); | |
698 | end: | |
699 | if (y) MP_DROP(y); | |
700 | return (z); | |
701 | } | |
702 | ||
703 | static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg) | |
704 | { | |
705 | PyObject *z = 0; | |
706 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
707 | ||
708 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end; | |
709 | mp_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
710 | z = Py_BuildValue("(NNN)", | |
711 | mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv)); | |
712 | end: | |
713 | if (yy) MP_DROP(yy); | |
714 | return (z); | |
715 | } | |
716 | ||
717 | static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg) | |
718 | { | |
719 | PyObject *z = 0; | |
720 | mp *yy = 0, *zz = MP_NEW; | |
721 | ||
722 | if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) || | |
723 | (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
724 | goto end; | |
725 | z = mp_pywrap(zz); | |
726 | end: | |
727 | if (yy) MP_DROP(yy); | |
728 | return (z); | |
729 | } | |
730 | ||
731 | static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw) | |
732 | { | |
733 | int radix = 10; | |
827f89d7 MW |
734 | static const char *const kwlist[] = { "radix", 0 }; |
735 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", KWLIST, &radix)) | |
d7ab1bab | 736 | goto end; |
f368b46e | 737 | if (!good_radix_p(radix, 0)) VALERR("bad radix"); |
d7ab1bab | 738 | return (mp_topystring(MP_X(me), radix, 0, 0, 0)); |
739 | end: | |
740 | return (0); | |
741 | } | |
742 | ||
743 | static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg) | |
744 | { | |
745 | PyObject *z = 0; | |
746 | mp *yy = 0, *zz = MP_NEW; | |
747 | ||
748 | if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end; | |
749 | if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0) | |
750 | VALERR("no modular square root"); | |
751 | z = mp_pywrap(zz); | |
752 | end: | |
753 | if (yy) MP_DROP(yy); | |
754 | return (z); | |
755 | } | |
756 | ||
d0d94587 MW |
757 | static PyObject *mpmeth_leastcongruent(PyObject *me, PyObject *arg) |
758 | { | |
759 | mp *z, *b, *m; | |
760 | PyObject *rc = 0; | |
761 | ||
762 | if (!PyArg_ParseTuple(arg, "O&O&:leastcongruent", convmp, &b, convmp, &m)) | |
763 | goto end; | |
764 | z = mp_leastcongruent(MP_NEW, b, MP_X(me), m); | |
765 | rc = mp_pywrap(z); | |
766 | end: | |
767 | return (rc); | |
768 | } | |
769 | ||
d7ab1bab | 770 | #define STOREOP(name, c) \ |
771 | static PyObject *mpmeth_##name(PyObject *me, \ | |
772 | PyObject *arg, PyObject *kw) \ | |
773 | { \ | |
774 | long len = -1; \ | |
f927b002 | 775 | static const char *const kwlist[] = { "len", 0 }; \ |
d7ab1bab | 776 | PyObject *rc = 0; \ |
777 | \ | |
778 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \ | |
827f89d7 | 779 | KWLIST, &len)) \ |
d7ab1bab | 780 | goto end; \ |
781 | if (len < 0) { \ | |
782 | len = mp_octets##c(MP_X(me)); \ | |
783 | if (!len) len = 1; \ | |
784 | } \ | |
785 | rc = bytestring_pywrap(0, len); \ | |
cfb291f0 | 786 | mp_##name(MP_X(me), BIN_PTR(rc), len); \ |
d7ab1bab | 787 | end: \ |
788 | return (rc); \ | |
789 | } | |
790 | STOREOP(storel, ) | |
791 | STOREOP(storeb, ) | |
792 | STOREOP(storel2c, 2c) | |
793 | STOREOP(storeb2c, 2c) | |
794 | #undef STOREOP | |
795 | ||
b16009b0 MW |
796 | #define BUFOP(ty) \ |
797 | static PyObject *ty##meth_frombuf(PyObject *me, PyObject *arg) \ | |
d7ab1bab | 798 | { \ |
799 | buf b; \ | |
be17c8c2 | 800 | struct bin in; \ |
d7ab1bab | 801 | PyObject *rc = 0; \ |
802 | mp *x; \ | |
803 | \ | |
be17c8c2 MW |
804 | if (!PyArg_ParseTuple(arg, "O&:frombuf", convbin, &in)) goto end; \ |
805 | buf_init(&b, (/*unconst*/ void *)in.p, in.sz); \ | |
d7ab1bab | 806 | if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \ |
807 | rc = Py_BuildValue("(NN)", ty##_pywrap(x), \ | |
808 | bytestring_pywrapbuf(&b)); \ | |
809 | end: \ | |
810 | return (rc); \ | |
811 | } | |
b16009b0 MW |
812 | BUFOP(mp) |
813 | BUFOP(gf) | |
d7ab1bab | 814 | #undef BUFOP |
815 | ||
7a75bb76 | 816 | static PyObject *mpmeth_tobuf(PyObject *me) |
d7ab1bab | 817 | { |
818 | buf b; | |
819 | PyObject *rc; | |
820 | mp *x; | |
821 | size_t n; | |
822 | ||
d7ab1bab | 823 | x = MP_X(me); |
824 | n = mp_octets(x) + 3; | |
825 | rc = bytestring_pywrap(0, n); | |
cfb291f0 | 826 | buf_init(&b, BIN_PTR(rc), n); |
d7ab1bab | 827 | buf_putmp(&b, x); |
828 | assert(BOK(&b)); | |
cfb291f0 | 829 | BIN_SETLEN(rc, BLEN(&b)); |
d7ab1bab | 830 | return (rc); |
831 | } | |
832 | ||
833 | static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw) | |
834 | { | |
835 | grand *r = &rand_global; | |
827f89d7 | 836 | static const char *const kwlist[] = { "rng", 0 }; |
d7ab1bab | 837 | PyObject *rc = 0; |
838 | ||
827f89d7 | 839 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", KWLIST, convgrand, &r)) |
d7ab1bab | 840 | goto end; |
841 | rc = getbool(pgen_primep(MP_X(me), r)); | |
842 | end: | |
843 | return (rc); | |
844 | } | |
845 | ||
b16009b0 MW |
846 | static PyObject *mpmeth_fromstring(PyObject *me, |
847 | PyObject *arg, PyObject *kw) | |
27cbcf9d MW |
848 | { |
849 | int r = 0; | |
850 | char *p; | |
851 | Py_ssize_t len; | |
852 | PyObject *z = 0; | |
853 | mp *zz; | |
854 | mptext_stringctx sc; | |
b16009b0 | 855 | static const char *const kwlist[] = { "x", "radix", 0 }; |
27cbcf9d | 856 | |
b16009b0 MW |
857 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST, |
858 | &p, &len, &r)) | |
27cbcf9d MW |
859 | goto end; |
860 | if (!good_radix_p(r, 1)) VALERR("bad radix"); | |
861 | sc.buf = p; sc.lim = p + len; | |
862 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0) | |
863 | VALERR("bad integer"); | |
864 | z = Py_BuildValue("(Ns#)", mp_pywrap(zz), | |
865 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
866 | end: | |
867 | return (z); | |
868 | } | |
869 | ||
b16009b0 | 870 | static PyObject *mpmeth_factorial(PyObject *me, PyObject *arg) |
27cbcf9d MW |
871 | { |
872 | unsigned long i; | |
873 | mp *x; | |
b16009b0 | 874 | if (!PyArg_ParseTuple(arg, "O&:factorial", convulong, &i)) return (0); |
27cbcf9d MW |
875 | x = mp_factorial(i); |
876 | return mp_pywrap(x); | |
877 | } | |
878 | ||
b16009b0 | 879 | static PyObject *mpmeth_fibonacci(PyObject *me, PyObject *arg) |
27cbcf9d MW |
880 | { |
881 | long i; | |
882 | mp *x; | |
b16009b0 | 883 | if (!PyArg_ParseTuple(arg, "l:fibonacci", &i)) return (0); |
27cbcf9d MW |
884 | x = mp_fibonacci(i); |
885 | return mp_pywrap(x); | |
886 | } | |
887 | ||
b16009b0 MW |
888 | #define LOADOP(pre, name) \ |
889 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
27cbcf9d | 890 | { \ |
be17c8c2 MW |
891 | struct bin in; \ |
892 | if (!PyArg_ParseTuple(arg, "O&:" #name, convbin, &in)) return (0); \ | |
893 | return (pre##_pywrap(mp_##name(MP_NEW, in.p, in.sz))); \ | |
27cbcf9d | 894 | } |
b16009b0 MW |
895 | LOADOP(mp, loadl) |
896 | LOADOP(mp, loadb) | |
897 | LOADOP(mp, loadl2c) | |
898 | LOADOP(mp, loadb2c) | |
899 | LOADOP(gf, loadl) | |
900 | LOADOP(gf, loadb) | |
27cbcf9d MW |
901 | #undef LOADOP |
902 | ||
d7ab1bab | 903 | static PyObject *mpget_nbits(PyObject *me, void *hunoz) |
904 | { return (PyInt_FromLong(mp_bits(MP_X(me)))); } | |
905 | ||
906 | static PyObject *mpget_noctets(PyObject *me, void *hunoz) | |
907 | { return (PyInt_FromLong(mp_octets(MP_X(me)))); } | |
908 | ||
909 | static PyObject *mpget_noctets2c(PyObject *me, void *hunoz) | |
910 | { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); } | |
911 | ||
637b9140 | 912 | static const PyGetSetDef mp_pygetset[] = { |
d7ab1bab | 913 | #define GETSETNAME(op, func) mp##op##_##func |
914 | GET (nbits, "X.nbits -> bit length of X") | |
915 | GET (noctets, "X.noctets -> octet length of X") | |
916 | GET (noctets2c, "X.noctets2c -> two's complement octet length of X") | |
917 | #undef GETSETNAME | |
918 | { 0 } | |
919 | }; | |
920 | ||
637b9140 | 921 | static const PyMethodDef mp_pymethods[] = { |
d7ab1bab | 922 | #define METHNAME(func) mpmeth_##func |
c3060669 | 923 | METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)") |
d7ab1bab | 924 | METH (setbit, "X.setbit(N) -> X with bit N set") |
925 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
926 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
7a75bb76 MW |
927 | NAMETH(odd, "X.odd() -> S, T where X = 2^S T with T odd") |
928 | NAMETH(sqr, "X.sqr() -> X^2") | |
929 | NAMETH(sqrt, "X.sqrt() -> largest integer <= sqrt(X)") | |
d7ab1bab | 930 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") |
ef783f91 MW |
931 | METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) " |
932 | "with X U + Y V = gcd(X, Y)") | |
d7ab1bab | 933 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
934 | METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime") | |
ef783f91 MW |
935 | METH (leastcongruent, "X.leastcongruent(B, M) -> " |
936 | "smallest Z >= B with Z == X (mod M)") | |
f3f76093 | 937 | KWMETH(primep, "X.primep([rng = rand]) -> X is prime?") |
1df8d5fe MW |
938 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
939 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
940 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
ef783f91 MW |
941 | KWMETH(storel2c, "X.storel2c([len = -1]) -> " |
942 | "little-endian bytes, two's complement") | |
943 | KWMETH(storeb2c, "X.storeb2c([len = -1]) -> " | |
944 | "big-endian bytes, two's complement") | |
7a75bb76 | 945 | NAMETH(tobuf, "X.tobuf() -> buffer format") |
b16009b0 MW |
946 | KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n" |
947 | " Parse STR as a large integer, according to RADIX. If RADIX is\n" | |
948 | " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n" | |
949 | " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.") | |
1e8aaf8b | 950 | SMTH (_implicit, 0) |
b16009b0 MW |
951 | SMTH (factorial, "factorial(I) -> I!: compute factorial") |
952 | SMTH (fibonacci, "fibonacci(I) -> F(I): compute Fibonacci number") | |
953 | SMTH (loadl, "loadl(STR) -> X: read little-endian bytes") | |
954 | SMTH (loadb, "loadb(STR) -> X: read big-endian bytes") | |
955 | SMTH (loadl2c, "loadl2c(STR) -> X: " | |
956 | "read little-endian bytes, two's complement") | |
957 | SMTH (loadb2c, "loadb2c(STR) -> X: " | |
958 | "read big-endian bytes, two's complement") | |
959 | SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 960 | #undef METHNAME |
961 | { 0 } | |
962 | }; | |
963 | ||
637b9140 | 964 | static const PyNumberMethods mp_pynumber = { |
d7ab1bab | 965 | mp_pyadd, /* @nb_add@ */ |
966 | mp_pysub, /* @nb_subtract@ */ | |
967 | mp_pymul, /* @nb_multiply@ */ | |
d472b9a1 | 968 | #ifdef PY2 |
d7ab1bab | 969 | 0, /* @nb_divide@ */ |
d472b9a1 | 970 | #endif |
d7ab1bab | 971 | mp_pymod, /* @nb_remainder@ */ |
972 | mp_pydivmod, /* @nb_divmod@ */ | |
973 | mp_pyexp, /* @nb_power@ */ | |
974 | mp_pyneg, /* @nb_negative@ */ | |
975 | mp_pyid, /* @nb_positive@ */ | |
976 | mp_pyabs, /* @nb_absolute@ */ | |
977 | mp_pynonzerop, /* @nb_nonzero@ */ | |
978 | mp_pynot2c, /* @nb_invert@ */ | |
979 | mp_pylsl2c, /* @nb_lshift@ */ | |
980 | mp_pylsr2c, /* @nb_rshift@ */ | |
981 | mp_pyand2c, /* @nb_and@ */ | |
982 | mp_pyxor2c, /* @nb_xor@ */ | |
983 | mp_pyor2c, /* @nb_or@ */ | |
d472b9a1 | 984 | #ifdef PY2 |
d7ab1bab | 985 | mp_pycoerce, /* @nb_coerce@ */ |
d472b9a1 | 986 | #endif |
d7ab1bab | 987 | mp_pyint, /* @nb_int@ */ |
d472b9a1 | 988 | PY23(mp_pylong, 0), /* @nb_long@ */ |
d7ab1bab | 989 | mp_pyfloat, /* @nb_float@ */ |
d472b9a1 | 990 | #ifdef PY2 |
d7ab1bab | 991 | mp_pyoct, /* @nb_oct@ */ |
992 | mp_pyhex, /* @nb_hex@ */ | |
d472b9a1 | 993 | #endif |
d7ab1bab | 994 | |
995 | 0, /* @nb_inplace_add@ */ | |
996 | 0, /* @nb_inplace_subtract@ */ | |
997 | 0, /* @nb_inplace_multiply@ */ | |
d472b9a1 | 998 | #ifdef PY2 |
d7ab1bab | 999 | 0, /* @nb_inplace_divide@ */ |
d472b9a1 | 1000 | #endif |
d7ab1bab | 1001 | 0, /* @nb_inplace_remainder@ */ |
1002 | 0, /* @nb_inplace_power@ */ | |
1003 | 0, /* @nb_inplace_lshift@ */ | |
1004 | 0, /* @nb_inplace_rshift@ */ | |
1005 | 0, /* @nb_inplace_and@ */ | |
1006 | 0, /* @nb_inplace_xor@ */ | |
1007 | 0, /* @nb_inplace_or@ */ | |
1008 | ||
1009 | mp_pydiv, /* @nb_floor_divide@ */ | |
1010 | 0, /* @nb_true_divide@ */ | |
1011 | 0, /* @nb_inplace_floor_divide@ */ | |
1012 | 0, /* @nb_inplace_true_divide@ */ | |
8aafc119 MW |
1013 | |
1014 | mp_pyint, /* @nb_index@ */ | |
d7ab1bab | 1015 | }; |
1016 | ||
ddd4720b | 1017 | static const PyTypeObject mp_pytype_skel = { |
4648f560 | 1018 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1019 | "MP", /* @tp_name@ */ |
d7ab1bab | 1020 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
1021 | 0, /* @tp_itemsize@ */ | |
1022 | ||
1023 | mp_pydealloc, /* @tp_dealloc@ */ | |
1024 | 0, /* @tp_print@ */ | |
1025 | 0, /* @tp_getattr@ */ | |
1026 | 0, /* @tp_setattr@ */ | |
d472b9a1 | 1027 | PY23(mp_pycompare, 0), /* @tp_compare@/@tp_as_async@ */ |
d7ab1bab | 1028 | mp_pyrepr, /* @tp_repr@ */ |
637b9140 | 1029 | PYNUMBER(mp), /* @tp_as_number@ */ |
d7ab1bab | 1030 | 0, /* @tp_as_sequence@ */ |
1031 | 0, /* @tp_as_mapping@ */ | |
1032 | mp_pyhash, /* @tp_hash@ */ | |
1033 | 0, /* @tp_call@ */ | |
1034 | mp_pystr, /* @tp_str@ */ | |
1035 | 0, /* @tp_getattro@ */ | |
1036 | 0, /* @tp_setattro@ */ | |
1037 | 0, /* @tp_as_buffer@ */ | |
1038 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1039 | Py_TPFLAGS_CHECKTYPES | | |
1040 | Py_TPFLAGS_BASETYPE, | |
1041 | ||
1042 | /* @tp_doc@ */ | |
ef783f91 MW |
1043 | "Multiprecision integers, similar to `long' but more efficient and\n" |
1044 | "versatile. Support all the standard arithmetic operations, with\n" | |
1045 | "implicit conversions from `PrimeFilter', and other objects which\n" | |
d472b9a1 | 1046 | "convert to `" PY23("long", "int") "'.\n" |
ef783f91 MW |
1047 | "\n" |
1048 | "Constructor MP(X, [radix = R]) attempts to convert X to an `MP'. If\n" | |
1049 | "X is a string, it's read in radix-R form, or we look for a prefix\n" | |
1050 | "if R = 0. Other acceptable things are field elements, elliptic curve\n" | |
d472b9a1 | 1051 | PY23( |
ef783f91 | 1052 | "points, group elements, Python `int' and `long' objects, and anything\n" |
d472b9a1 MW |
1053 | "with an integer conversion.\n", |
1054 | "points, group elements, Python `int' objects, and anything with an\n" | |
1055 | "integer conversion.\n") | |
ef783f91 MW |
1056 | "\n" |
1057 | "Notes:\n" | |
1058 | "\n" | |
1059 | " * Use `//' for integer division: `/' gives exact rational division.", | |
d7ab1bab | 1060 | |
1061 | 0, /* @tp_traverse@ */ | |
1062 | 0, /* @tp_clear@ */ | |
1810cc51 | 1063 | mp_pyrichcompare, /* @tp_richcompare@ */ |
d7ab1bab | 1064 | 0, /* @tp_weaklistoffset@ */ |
1065 | 0, /* @tp_iter@ */ | |
963a6148 | 1066 | 0, /* @tp_iternext@ */ |
637b9140 | 1067 | PYMETHODS(mp), /* @tp_methods@ */ |
d7ab1bab | 1068 | 0, /* @tp_members@ */ |
637b9140 | 1069 | PYGETSET(mp), /* @tp_getset@ */ |
d7ab1bab | 1070 | 0, /* @tp_base@ */ |
1071 | 0, /* @tp_dict@ */ | |
1072 | 0, /* @tp_descr_get@ */ | |
1073 | 0, /* @tp_descr_set@ */ | |
1074 | 0, /* @tp_dictoffset@ */ | |
1075 | 0, /* @tp_init@ */ | |
1076 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1077 | mp_pynew, /* @tp_new@ */ | |
3aa33042 | 1078 | 0, /* @tp_free@ */ |
d7ab1bab | 1079 | 0 /* @tp_is_gc@ */ |
1080 | }; | |
1081 | ||
32507e35 MW |
1082 | /*----- Products of small integers ----------------------------------------*/ |
1083 | ||
ddd4720b MW |
1084 | static PyTypeObject *mpmul_pytype; |
1085 | ||
32507e35 MW |
1086 | typedef struct mpmul_pyobj { |
1087 | PyObject_HEAD | |
1088 | int livep; | |
1089 | mpmul mm; | |
1090 | } mpmul_pyobj; | |
1091 | ||
1092 | #define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep) | |
1093 | #define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm) | |
1094 | ||
1095 | static void mpmul_pydealloc(PyObject *me) | |
1096 | { | |
1097 | if (MPMUL_LIVEP(me)) | |
1098 | mp_drop(mpmul_done(MPMUL_PY(me))); | |
1099 | FREEOBJ(me); | |
1100 | } | |
1101 | ||
1102 | static PyObject *mmmeth_factor(PyObject *me, PyObject *arg) | |
d7ab1bab | 1103 | { |
d7ab1bab | 1104 | PyObject *q, *i; |
1105 | mp *x; | |
1106 | ||
32507e35 | 1107 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
8dd6ebb3 | 1108 | if (PyTuple_GET_SIZE(arg) != 1) |
d7ab1bab | 1109 | i = PyObject_GetIter(arg); |
32507e35 | 1110 | else { |
8dd6ebb3 | 1111 | if ((q = PyTuple_GET_ITEM(arg, 0)) == 0) goto end; |
d7ab1bab | 1112 | if ((i = PyObject_GetIter(q)) == 0) { |
1113 | PyErr_Clear(); /* that's ok */ | |
1114 | i = PyObject_GetIter(arg); | |
1115 | } | |
1116 | } | |
32507e35 | 1117 | if (!i) goto end; |
d7ab1bab | 1118 | while ((q = PyIter_Next(i)) != 0) { |
1119 | x = getmp(q); Py_DECREF(q); if (!x) { | |
d7ab1bab | 1120 | Py_DECREF(i); |
32507e35 | 1121 | goto end; |
d7ab1bab | 1122 | } |
32507e35 | 1123 | mpmul_add(MPMUL_PY(me), x); |
d7ab1bab | 1124 | MP_DROP(x); |
1125 | } | |
d7ab1bab | 1126 | Py_DECREF(i); |
32507e35 MW |
1127 | RETURN_ME; |
1128 | end: | |
1129 | return (0); | |
1130 | } | |
1131 | ||
7a75bb76 | 1132 | static PyObject *mmmeth_done(PyObject *me) |
32507e35 MW |
1133 | { |
1134 | mp *x; | |
1135 | ||
32507e35 MW |
1136 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
1137 | x = mpmul_done(MPMUL_PY(me)); | |
1138 | MPMUL_LIVEP(me) = 0; | |
d7ab1bab | 1139 | return (mp_pywrap(x)); |
32507e35 MW |
1140 | end: |
1141 | return (0); | |
d7ab1bab | 1142 | } |
1143 | ||
32507e35 MW |
1144 | static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
1145 | { | |
1146 | mpmul_pyobj *mm; | |
1147 | ||
1148 | if (kw) TYERR("keyword arguments not allowed here"); | |
1149 | mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0); | |
1150 | mpmul_init(&mm->mm); | |
1151 | mm->livep = 1; | |
1152 | if (mmmeth_factor((PyObject *)mm, arg) == 0) { | |
1153 | Py_DECREF(mm); | |
1154 | goto end; | |
d7ab1bab | 1155 | } |
32507e35 MW |
1156 | return ((PyObject *)mm); |
1157 | end: | |
1158 | return (0); | |
1159 | } | |
1160 | ||
1161 | static PyObject *mmget_livep(PyObject *me, void *hunoz) | |
1162 | { return (getbool(MPMUL_LIVEP(me))); } | |
1163 | ||
637b9140 | 1164 | static const PyGetSetDef mpmul_pygetset[] = { |
32507e35 | 1165 | #define GETSETNAME(op, name) mm##op##_##name |
ef783f91 | 1166 | GET (livep, "MM.livep -> flag: object still valid?") |
32507e35 MW |
1167 | #undef GETSETNAME |
1168 | { 0 } | |
1169 | }; | |
1170 | ||
637b9140 | 1171 | static const PyMethodDef mpmul_pymethods[] = { |
32507e35 | 1172 | #define METHNAME(name) mmmeth_##name |
ef783f91 | 1173 | METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)") |
7a75bb76 | 1174 | NAMETH(done, "MM.done() -> PRODUCT") |
32507e35 MW |
1175 | #undef METHNAME |
1176 | { 0 } | |
1177 | }; | |
1178 | ||
ddd4720b | 1179 | static const PyTypeObject mpmul_pytype_skel = { |
4648f560 | 1180 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1181 | "MPMul", /* @tp_name@ */ |
32507e35 MW |
1182 | sizeof(mpmul_pyobj), /* @tp_basicsize@ */ |
1183 | 0, /* @tp_itemsize@ */ | |
1184 | ||
1185 | mpmul_pydealloc, /* @tp_dealloc@ */ | |
1186 | 0, /* @tp_print@ */ | |
1187 | 0, /* @tp_getattr@ */ | |
1188 | 0, /* @tp_setattr@ */ | |
1189 | 0, /* @tp_compare@ */ | |
1190 | 0, /* @tp_repr@ */ | |
1191 | 0, /* @tp_as_number@ */ | |
1192 | 0, /* @tp_as_sequence@ */ | |
1193 | 0, /* @tp_as_mapping@ */ | |
1194 | 0, /* @tp_hash@ */ | |
1195 | 0, /* @tp_call@ */ | |
1196 | 0, /* @tp_str@ */ | |
1197 | 0, /* @tp_getattro@ */ | |
1198 | 0, /* @tp_setattro@ */ | |
1199 | 0, /* @tp_as_buffer@ */ | |
1200 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1201 | Py_TPFLAGS_BASETYPE, | |
1202 | ||
1203 | /* @tp_doc@ */ | |
ef783f91 | 1204 | "MPMul(N_0, N_1, ....): an object for multiplying many small integers.", |
32507e35 MW |
1205 | |
1206 | 0, /* @tp_traverse@ */ | |
1207 | 0, /* @tp_clear@ */ | |
1208 | 0, /* @tp_richcompare@ */ | |
1209 | 0, /* @tp_weaklistoffset@ */ | |
1210 | 0, /* @tp_iter@ */ | |
1211 | 0, /* @tp_iternext@ */ | |
637b9140 | 1212 | PYMETHODS(mpmul), /* @tp_methods@ */ |
32507e35 | 1213 | 0, /* @tp_members@ */ |
637b9140 | 1214 | PYGETSET(mpmul), /* @tp_getset@ */ |
32507e35 MW |
1215 | 0, /* @tp_base@ */ |
1216 | 0, /* @tp_dict@ */ | |
1217 | 0, /* @tp_descr_get@ */ | |
1218 | 0, /* @tp_descr_set@ */ | |
1219 | 0, /* @tp_dictoffset@ */ | |
1220 | 0, /* @tp_init@ */ | |
1221 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1222 | mpmul_pynew, /* @tp_new@ */ | |
1223 | 0, /* @tp_free@ */ | |
1224 | 0 /* @tp_is_gc@ */ | |
1225 | }; | |
d7ab1bab | 1226 | |
1227 | /*----- Montgomery reduction ----------------------------------------------*/ | |
1228 | ||
ddd4720b MW |
1229 | static PyTypeObject *mpmont_pytype; |
1230 | ||
d7ab1bab | 1231 | typedef struct mpmont_pyobj { |
1232 | PyObject_HEAD | |
1233 | mpmont mm; | |
1234 | } mpmont_pyobj; | |
1235 | ||
1236 | #define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm) | |
1237 | ||
1238 | static PyObject *mmmeth_int(PyObject *me, PyObject *arg) | |
1239 | { | |
1240 | PyObject *z = 0; | |
1241 | mp *yy = 0; | |
1242 | mpmont *mm = MPMONT_PY(me); | |
1243 | ||
1244 | if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy)) | |
1245 | goto end; | |
1246 | mp_div(0, &yy, yy, mm->m); | |
1247 | z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2)); | |
1248 | end: | |
1249 | if (yy) MP_DROP(yy); | |
1250 | return (z); | |
1251 | } | |
1252 | ||
1253 | static PyObject *mmmeth_mul(PyObject *me, PyObject *arg) | |
1254 | { | |
1255 | PyObject *rc = 0; | |
1256 | mp *yy = 0, *zz = 0; | |
1257 | ||
1258 | if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz)) | |
1259 | goto end; | |
1260 | rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1261 | end: | |
1262 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1263 | return (rc); | |
1264 | } | |
1265 | ||
1266 | static PyObject *mmmeth_exp(PyObject *me, PyObject *arg) | |
1267 | { | |
1268 | PyObject *rc = 0; | |
1269 | mp *yy = 0, *zz = 0; | |
1270 | ||
1271 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1272 | goto end; | |
1273 | if (MP_NEGP(zz)) { | |
1274 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1275 | zz = mp_neg(zz, zz); | |
1276 | } | |
1277 | rc = mp_pywrap(mpmont_exp(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 *mmmeth_expr(PyObject *me, PyObject *arg) | |
1284 | { | |
1285 | PyObject *rc = 0; | |
1286 | mp *yy = 0, *zz = 0; | |
1287 | ||
1288 | if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz)) | |
1289 | goto end; | |
1290 | if (MP_NEGP(zz)) { | |
1291 | yy = mpmont_reduce(MPMONT_PY(me), yy, yy); | |
1292 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1293 | yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2); | |
1294 | zz = mp_neg(zz, zz); | |
1295 | } | |
1296 | rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1297 | end: | |
1298 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1299 | return (rc); | |
1300 | } | |
1301 | ||
1302 | static PyObject *mm_mexpr_id(PyObject *me) | |
1303 | { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); } | |
1304 | ||
1305 | static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1306 | { | |
1307 | mp *xx = 0, *yy = 0; | |
1308 | mp_expfactor *f = p; | |
1309 | mpmont *mm = MPMONT_PY(me); | |
1310 | ||
1311 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1312 | goto fail; | |
1313 | if (MP_NEGP(yy)) { | |
1314 | xx = mpmont_reduce(mm, xx, xx); | |
1315 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1316 | goto fail; | |
1317 | xx = mpmont_mul(mm, xx, xx, mm->r2); | |
1318 | yy = mp_neg(yy, yy); | |
1319 | } | |
1320 | f->base = xx; | |
1321 | f->exp = yy; | |
1322 | return (0); | |
1323 | ||
1324 | fail: | |
1325 | mp_drop(xx); mp_drop(yy); | |
1326 | return (-1); | |
1327 | } | |
1328 | ||
1329 | static PyObject *mm_mexpr(PyObject *me, void *v, int n) | |
1330 | { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1331 | |
d7ab1bab | 1332 | static void mp_mexp_drop(void *p) |
1333 | { | |
1334 | mp_expfactor *f = p; | |
1335 | mp_drop(f->base); | |
1336 | mp_drop(f->exp); | |
1337 | } | |
1338 | ||
1339 | static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg) | |
1340 | { | |
1341 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1342 | mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop); | |
1343 | } | |
1344 | ||
1345 | static PyObject *mp_mexp_id(PyObject *me) | |
1346 | { return mp_pywrap(MP_ONE); } | |
1347 | ||
1348 | static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1349 | { | |
1350 | mp *xx = 0, *yy = 0; | |
1351 | mp_expfactor *f = p; | |
1352 | ||
1353 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1354 | goto fail; | |
1355 | if (MP_NEGP(yy)) { | |
1356 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1357 | goto fail; | |
1358 | yy = mp_neg(yy, yy); | |
1359 | } | |
1360 | f->base = xx; | |
1361 | f->exp = yy; | |
1362 | return (0); | |
1363 | ||
1364 | fail: | |
1365 | mp_drop(xx); mp_drop(yy); | |
1366 | return (-1); | |
1367 | } | |
1368 | ||
1369 | static PyObject *mm_mexp(PyObject *me, void *v, int n) | |
1370 | { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1371 | |
d7ab1bab | 1372 | static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg) |
1373 | { | |
1374 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1375 | mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop); | |
1376 | } | |
1377 | ||
1378 | #define mmmeth_ext mmmeth_reduce | |
1379 | static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg) | |
1380 | { | |
1381 | PyObject *z = 0; | |
1382 | mp *yy = 0; | |
1383 | ||
1384 | if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end; | |
1385 | z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy)); | |
1386 | end: | |
1387 | return (z); | |
1388 | } | |
1389 | ||
1390 | static void mpmont_pydealloc(PyObject *me) | |
1391 | { | |
1392 | mpmont_destroy(MPMONT_PY(me)); | |
3aa33042 | 1393 | FREEOBJ(me); |
d7ab1bab | 1394 | } |
1395 | ||
1396 | static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1397 | { | |
1398 | mpmont_pyobj *mm = 0; | |
827f89d7 | 1399 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1400 | mp *xx = 0; |
1401 | ||
827f89d7 | 1402 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1403 | goto end; |
1404 | if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd"); | |
1405 | mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0); | |
1406 | mpmont_create(&mm->mm, xx); | |
1407 | end: | |
1408 | if (xx) MP_DROP(xx); | |
1409 | return ((PyObject *)mm); | |
1410 | } | |
1411 | ||
1412 | static PyObject *mmget_m(PyObject *me, void *hunoz) | |
1413 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); } | |
1414 | ||
1415 | static PyObject *mmget_r(PyObject *me, void *hunoz) | |
1416 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); } | |
1417 | ||
1418 | static PyObject *mmget_r2(PyObject *me, void *hunoz) | |
1419 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); } | |
1420 | ||
637b9140 | 1421 | static const PyGetSetDef mpmont_pygetset[] = { |
d7ab1bab | 1422 | #define GETSETNAME(op, name) mm##op##_##name |
1423 | GET (m, "M.m -> modulus for reduction") | |
1424 | GET (r, "M.r -> multiplicative identity") | |
1425 | GET (r2, "M.r2 -> M.r^2, Montgomerization factor") | |
1426 | #undef GETSETNAME | |
1427 | { 0 } | |
1428 | }; | |
1429 | ||
637b9140 | 1430 | static const PyMethodDef mpmont_pymethods[] = { |
d7ab1bab | 1431 | #define METHNAME(name) mmmeth_##name |
986bcc44 | 1432 | METH (int, "M.int(X) -> XR") |
d7ab1bab | 1433 | METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y") |
1434 | METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m") | |
ef783f91 MW |
1435 | METH (mexpr, "M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR " |
1436 | "where Z = X0^N0 X1^N1 ... mod M.m\n" | |
1437 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1438 | METH (reduce, "M.reduce(XR) -> X") |
1439 | METH (ext, "M.ext(XR) -> X") | |
1440 | METH (exp, "M.exp(X, N) -> X^N mod M.m") | |
ef783f91 MW |
1441 | METH (mexp, "M.mexp([(X0, N0), (X1, N1), ...]) = " |
1442 | "X0^N0 X1^N1 ... mod M.m\n" | |
1443 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1444 | #undef METHNAME |
1445 | { 0 } | |
1446 | }; | |
1447 | ||
ddd4720b | 1448 | static const PyTypeObject mpmont_pytype_skel = { |
4648f560 | 1449 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1450 | "MPMont", /* @tp_name@ */ |
d7ab1bab | 1451 | sizeof(mpmont_pyobj), /* @tp_basicsize@ */ |
1452 | 0, /* @tp_itemsize@ */ | |
1453 | ||
1454 | mpmont_pydealloc, /* @tp_dealloc@ */ | |
1455 | 0, /* @tp_print@ */ | |
1456 | 0, /* @tp_getattr@ */ | |
1457 | 0, /* @tp_setattr@ */ | |
1458 | 0, /* @tp_compare@ */ | |
1459 | 0, /* @tp_repr@ */ | |
1460 | 0, /* @tp_as_number@ */ | |
1461 | 0, /* @tp_as_sequence@ */ | |
1462 | 0, /* @tp_as_mapping@ */ | |
1463 | 0, /* @tp_hash@ */ | |
1464 | 0, /* @tp_call@ */ | |
1465 | 0, /* @tp_str@ */ | |
1466 | 0, /* @tp_getattro@ */ | |
1467 | 0, /* @tp_setattro@ */ | |
1468 | 0, /* @tp_as_buffer@ */ | |
1469 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1470 | Py_TPFLAGS_BASETYPE, | |
1471 | ||
1472 | /* @tp_doc@ */ | |
ef783f91 | 1473 | "MPMont(N): a Montgomery reduction context.", |
d7ab1bab | 1474 | |
1475 | 0, /* @tp_traverse@ */ | |
1476 | 0, /* @tp_clear@ */ | |
1477 | 0, /* @tp_richcompare@ */ | |
1478 | 0, /* @tp_weaklistoffset@ */ | |
1479 | 0, /* @tp_iter@ */ | |
963a6148 | 1480 | 0, /* @tp_iternext@ */ |
637b9140 | 1481 | PYMETHODS(mpmont), /* @tp_methods@ */ |
d7ab1bab | 1482 | 0, /* @tp_members@ */ |
637b9140 | 1483 | PYGETSET(mpmont), /* @tp_getset@ */ |
d7ab1bab | 1484 | 0, /* @tp_base@ */ |
1485 | 0, /* @tp_dict@ */ | |
1486 | 0, /* @tp_descr_get@ */ | |
1487 | 0, /* @tp_descr_set@ */ | |
1488 | 0, /* @tp_dictoffset@ */ | |
1489 | 0, /* @tp_init@ */ | |
1490 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1491 | mpmont_pynew, /* @tp_new@ */ | |
3aa33042 | 1492 | 0, /* @tp_free@ */ |
d7ab1bab | 1493 | 0 /* @tp_is_gc@ */ |
1494 | }; | |
1495 | ||
1496 | /*----- Barrett reduction -------------------------------------------------*/ | |
1497 | ||
ddd4720b MW |
1498 | static PyTypeObject *mpbarrett_pytype; |
1499 | ||
d7ab1bab | 1500 | typedef struct mpbarrett_pyobj { |
1501 | PyObject_HEAD | |
1502 | mpbarrett mb; | |
1503 | } mpbarrett_pyobj; | |
1504 | ||
1505 | #define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb) | |
1506 | ||
1507 | static PyObject *mbmeth_exp(PyObject *me, PyObject *arg) | |
1508 | { | |
1509 | PyObject *rc = 0; | |
1510 | mp *yy = 0, *zz = 0; | |
1511 | ||
1512 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1513 | goto end; | |
1514 | if (MP_NEGP(zz)) { | |
1515 | if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end; | |
1516 | zz = mp_neg(zz, zz); | |
1517 | } | |
1518 | rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz)); | |
1519 | end: | |
1520 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1521 | return (rc); | |
1522 | } | |
1523 | ||
1524 | static PyObject *mb_mexp(PyObject *me, void *v, int n) | |
1525 | { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); } | |
b2687a0a | 1526 | |
d7ab1bab | 1527 | static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg) |
1528 | { | |
1529 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1530 | mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop); | |
1531 | } | |
1532 | ||
1533 | static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg) | |
1534 | { | |
1535 | PyObject *z = 0; | |
1536 | mp *yy = 0; | |
1537 | ||
1538 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) | |
1539 | goto end; | |
1540 | z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy)); | |
1541 | end: | |
1542 | return (z); | |
1543 | } | |
1544 | ||
1545 | static void mpbarrett_pydealloc(PyObject *me) | |
1546 | { | |
1547 | mpbarrett_destroy(MPBARRETT_PY(me)); | |
3aa33042 | 1548 | FREEOBJ(me); |
d7ab1bab | 1549 | } |
1550 | ||
1551 | static PyObject *mpbarrett_pynew(PyTypeObject *ty, | |
1552 | PyObject *arg, PyObject *kw) | |
1553 | { | |
1554 | mpbarrett_pyobj *mb = 0; | |
827f89d7 | 1555 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1556 | mp *xx = 0; |
1557 | ||
827f89d7 | 1558 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1559 | goto end; |
1560 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1561 | mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0); | |
1562 | mpbarrett_create(&mb->mb, xx); | |
1563 | end: | |
1564 | if (xx) MP_DROP(xx); | |
1565 | return ((PyObject *)mb); | |
1566 | } | |
1567 | ||
1568 | static PyObject *mbget_m(PyObject *me, void *hunoz) | |
1569 | { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); } | |
1570 | ||
637b9140 | 1571 | static const PyGetSetDef mpbarrett_pygetset[] = { |
d7ab1bab | 1572 | #define GETSETNAME(op, name) mb##op##_##name |
1573 | GET (m, "B.m -> modulus for reduction") | |
1574 | #undef GETSETNAME | |
1575 | { 0 } | |
1576 | }; | |
1577 | ||
637b9140 | 1578 | static const PyMethodDef mpbarrett_pymethods[] = { |
d7ab1bab | 1579 | #define METHNAME(name) mbmeth_##name |
1580 | METH (reduce, "B.reduce(X) -> X mod B.m") | |
1581 | METH (exp, "B.exp(X, N) -> X^N mod B.m") | |
ef783f91 MW |
1582 | METH (mexp, "B.mexp([(X0, N0), (X1, N1), ...]) = " |
1583 | "X0^N0 X1^N1 ... mod B.m\n" | |
1584 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1585 | #undef METHNAME |
1586 | { 0 } | |
1587 | }; | |
1588 | ||
ddd4720b | 1589 | static const PyTypeObject mpbarrett_pytype_skel = { |
4648f560 | 1590 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1591 | "MPBarrett", /* @tp_name@ */ |
d7ab1bab | 1592 | sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */ |
1593 | 0, /* @tp_itemsize@ */ | |
1594 | ||
1595 | mpbarrett_pydealloc, /* @tp_dealloc@ */ | |
1596 | 0, /* @tp_print@ */ | |
1597 | 0, /* @tp_getattr@ */ | |
1598 | 0, /* @tp_setattr@ */ | |
1599 | 0, /* @tp_compare@ */ | |
1600 | 0, /* @tp_repr@ */ | |
1601 | 0, /* @tp_as_number@ */ | |
1602 | 0, /* @tp_as_sequence@ */ | |
1603 | 0, /* @tp_as_mapping@ */ | |
1604 | 0, /* @tp_hash@ */ | |
1605 | 0, /* @tp_call@ */ | |
1606 | 0, /* @tp_str@ */ | |
1607 | 0, /* @tp_getattro@ */ | |
1608 | 0, /* @tp_setattro@ */ | |
1609 | 0, /* @tp_as_buffer@ */ | |
1610 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1611 | Py_TPFLAGS_BASETYPE, | |
1612 | ||
1613 | /* @tp_doc@ */ | |
ef783f91 | 1614 | "MPBarrett(N): a Barrett reduction context.", |
d7ab1bab | 1615 | |
1616 | 0, /* @tp_traverse@ */ | |
1617 | 0, /* @tp_clear@ */ | |
1618 | 0, /* @tp_richcompare@ */ | |
1619 | 0, /* @tp_weaklistoffset@ */ | |
1620 | 0, /* @tp_iter@ */ | |
963a6148 | 1621 | 0, /* @tp_iternext@ */ |
637b9140 | 1622 | PYMETHODS(mpbarrett), /* @tp_methods@ */ |
d7ab1bab | 1623 | 0, /* @tp_members@ */ |
637b9140 | 1624 | PYGETSET(mpbarrett), /* @tp_getset@ */ |
d7ab1bab | 1625 | 0, /* @tp_base@ */ |
1626 | 0, /* @tp_dict@ */ | |
1627 | 0, /* @tp_descr_get@ */ | |
1628 | 0, /* @tp_descr_set@ */ | |
1629 | 0, /* @tp_dictoffset@ */ | |
1630 | 0, /* @tp_init@ */ | |
1631 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1632 | mpbarrett_pynew, /* @tp_new@ */ | |
3aa33042 | 1633 | 0, /* @tp_free@ */ |
d7ab1bab | 1634 | 0 /* @tp_is_gc@ */ |
1635 | }; | |
1636 | ||
1637 | /*----- Nice prime reduction ----------------------------------------------*/ | |
1638 | ||
ddd4720b MW |
1639 | static PyTypeObject *mpreduce_pytype; |
1640 | ||
d7ab1bab | 1641 | typedef struct mpreduce_pyobj { |
1642 | PyObject_HEAD | |
1643 | mpreduce mr; | |
1644 | } mpreduce_pyobj; | |
1645 | ||
1646 | #define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr) | |
1647 | ||
1648 | static PyObject *mrmeth_exp(PyObject *me, PyObject *arg) | |
1649 | { | |
1650 | PyObject *rc = 0; | |
1651 | mp *yy = 0, *zz = 0; | |
1652 | ||
1653 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1654 | goto end; | |
1655 | if (MP_NEGP(zz)) { | |
1656 | if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end; | |
1657 | zz = mp_neg(zz, zz); | |
1658 | } | |
1659 | rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz)); | |
1660 | end: | |
1661 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1662 | return (rc); | |
1663 | } | |
1664 | ||
1665 | static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg) | |
1666 | { | |
1667 | PyObject *z = 0; | |
1668 | mp *yy = 0; | |
1669 | ||
1670 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end; | |
1671 | z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy)); | |
1672 | end: | |
1673 | return (z); | |
1674 | } | |
1675 | ||
1676 | static void mpreduce_pydealloc(PyObject *me) | |
1677 | { | |
1678 | mpreduce_destroy(MPREDUCE_PY(me)); | |
3aa33042 | 1679 | FREEOBJ(me); |
d7ab1bab | 1680 | } |
1681 | ||
1682 | static PyObject *mpreduce_pynew(PyTypeObject *ty, | |
1683 | PyObject *arg, PyObject *kw) | |
1684 | { | |
1685 | mpreduce_pyobj *mr = 0; | |
1686 | mpreduce r; | |
827f89d7 | 1687 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1688 | mp *xx = 0; |
1689 | ||
827f89d7 | 1690 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1691 | goto end; |
1692 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1693 | if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)"); | |
1694 | mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0); | |
1695 | mr->mr = r; | |
1696 | end: | |
1697 | if (xx) MP_DROP(xx); | |
1698 | return ((PyObject *)mr); | |
1699 | } | |
1700 | ||
1701 | static PyObject *mrget_m(PyObject *me, void *hunoz) | |
1702 | { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); } | |
1703 | ||
637b9140 | 1704 | static const PyGetSetDef mpreduce_pygetset[] = { |
d7ab1bab | 1705 | #define GETSETNAME(op, name) mr##op##_##name |
1706 | GET (m, "R.m -> modulus for reduction") | |
1707 | #undef GETSETNAME | |
1708 | { 0 } | |
1709 | }; | |
1710 | ||
637b9140 | 1711 | static const const PyMethodDef mpreduce_pymethods[] = { |
d7ab1bab | 1712 | #define METHNAME(name) mrmeth_##name |
1713 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
1714 | METH (exp, "R.exp(X, N) -> X^N mod B.m") | |
1715 | #undef METHNAME | |
1716 | { 0 } | |
1717 | }; | |
1718 | ||
ddd4720b | 1719 | static const PyTypeObject mpreduce_pytype_skel = { |
4648f560 | 1720 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1721 | "MPReduce", /* @tp_name@ */ |
d7ab1bab | 1722 | sizeof(mpreduce_pyobj), /* @tp_basicsize@ */ |
1723 | 0, /* @tp_itemsize@ */ | |
1724 | ||
1725 | mpreduce_pydealloc, /* @tp_dealloc@ */ | |
1726 | 0, /* @tp_print@ */ | |
1727 | 0, /* @tp_getattr@ */ | |
1728 | 0, /* @tp_setattr@ */ | |
1729 | 0, /* @tp_compare@ */ | |
1730 | 0, /* @tp_repr@ */ | |
1731 | 0, /* @tp_as_number@ */ | |
1732 | 0, /* @tp_as_sequence@ */ | |
1733 | 0, /* @tp_as_mapping@ */ | |
1734 | 0, /* @tp_hash@ */ | |
1735 | 0, /* @tp_call@ */ | |
1736 | 0, /* @tp_str@ */ | |
1737 | 0, /* @tp_getattro@ */ | |
1738 | 0, /* @tp_setattro@ */ | |
1739 | 0, /* @tp_as_buffer@ */ | |
1740 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1741 | Py_TPFLAGS_BASETYPE, | |
1742 | ||
1743 | /* @tp_doc@ */ | |
ef783f91 | 1744 | "MPReduce(N): a reduction context for reduction modulo Solinas primes.", |
d7ab1bab | 1745 | |
1746 | 0, /* @tp_traverse@ */ | |
1747 | 0, /* @tp_clear@ */ | |
1748 | 0, /* @tp_richcompare@ */ | |
1749 | 0, /* @tp_weaklistoffset@ */ | |
1750 | 0, /* @tp_iter@ */ | |
963a6148 | 1751 | 0, /* @tp_iternext@ */ |
637b9140 | 1752 | PYMETHODS(mpreduce), /* @tp_methods@ */ |
d7ab1bab | 1753 | 0, /* @tp_members@ */ |
637b9140 | 1754 | PYGETSET(mpreduce), /* @tp_getset@ */ |
d7ab1bab | 1755 | 0, /* @tp_base@ */ |
1756 | 0, /* @tp_dict@ */ | |
1757 | 0, /* @tp_descr_get@ */ | |
1758 | 0, /* @tp_descr_set@ */ | |
1759 | 0, /* @tp_dictoffset@ */ | |
1760 | 0, /* @tp_init@ */ | |
1761 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1762 | mpreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 1763 | 0, /* @tp_free@ */ |
d7ab1bab | 1764 | 0 /* @tp_is_gc@ */ |
1765 | }; | |
1766 | ||
1767 | /*----- Chinese Remainder Theorem solution --------------------------------*/ | |
1768 | ||
ddd4720b MW |
1769 | static PyTypeObject *mpcrt_pytype; |
1770 | ||
d7ab1bab | 1771 | typedef struct mpcrt_pyobj { |
1772 | PyObject_HEAD | |
1773 | mpcrt c; | |
1774 | } mpcrt_pyobj; | |
1775 | ||
1776 | #define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c) | |
1777 | ||
1778 | static PyObject *mcmeth_solve(PyObject *me, PyObject *arg) | |
1779 | { | |
1780 | mpcrt *c = MPCRT_PY(me); | |
1781 | PyObject *q = 0, *x, *z = 0; | |
1782 | mp *xx; | |
1783 | mp **v = 0; | |
77a0d53f | 1784 | Py_ssize_t i = 0, n = c->k; |
d7ab1bab | 1785 | |
1786 | Py_INCREF(me); | |
8dd6ebb3 | 1787 | if (PyTuple_GET_SIZE(arg) == n) |
d7ab1bab | 1788 | q = arg; |
1789 | else if (!PyArg_ParseTuple(arg, "O:solve", &q)) | |
1790 | goto end; | |
1791 | Py_INCREF(q); | |
1792 | if (!PySequence_Check(q)) TYERR("want a sequence of residues"); | |
b17bbe3b MW |
1793 | i = PySequence_Size(q); if (i < 0) goto end; |
1794 | if (i != n) VALERR("residue count mismatch"); | |
d7ab1bab | 1795 | v = xmalloc(n * sizeof(*v)); |
1796 | for (i = 0; i < n; i++) { | |
1797 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1798 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
1799 | v[i] = xx; | |
1800 | } | |
1801 | z = mp_pywrap(mpcrt_solve(c, MP_NEW, v)); | |
1802 | end: | |
1803 | if (v) { | |
1804 | n = i; | |
1805 | for (i = 0; i < n; i++) | |
1806 | MP_DROP(v[i]); | |
1807 | xfree(v); | |
1808 | } | |
1809 | Py_DECREF(me); | |
1810 | Py_XDECREF(q); | |
1811 | return (z); | |
1812 | } | |
1813 | ||
1814 | static void mpcrt_pydealloc(PyObject *me) | |
1815 | { | |
1816 | mpcrt *c = MPCRT_PY(me); | |
1817 | mpcrt_destroy(c); | |
1818 | xfree(c->v); | |
1819 | } | |
1820 | ||
1821 | static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1822 | { | |
1823 | mpcrt_mod *v = 0; | |
77a0d53f | 1824 | Py_ssize_t n, i = 0, j; |
827f89d7 | 1825 | static const char *const kwlist[] = { "mv", 0 }; |
d7ab1bab | 1826 | PyObject *q = 0, *x; |
d2b7e92c MW |
1827 | mp *xx = MP_NEW, *y = MP_NEW, *g = MP_NEW; |
1828 | mpmul mm; | |
d7ab1bab | 1829 | mpcrt_pyobj *c = 0; |
1830 | ||
8dd6ebb3 | 1831 | if (PyTuple_GET_SIZE(arg) > 1) |
d7ab1bab | 1832 | q = arg; |
827f89d7 | 1833 | else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", KWLIST, &q)) |
d7ab1bab | 1834 | goto end; |
1835 | Py_INCREF(q); | |
1836 | if (!PySequence_Check(q)) TYERR("want a sequence of moduli"); | |
b17bbe3b | 1837 | n = PySequence_Size(q); if (n < 0) goto end; |
d7ab1bab | 1838 | if (!n) VALERR("want at least one modulus"); |
1839 | v = xmalloc(n * sizeof(*v)); | |
1840 | for (i = 0; i < n; i++) { | |
1841 | if ((x = PySequence_GetItem(q, i)) == 0) goto end; | |
1842 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; | |
684cd535 | 1843 | if (MP_CMP(xx, <=, MP_ZERO)) VALERR("moduli must be positive"); |
4e02c19c | 1844 | v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; xx = MP_NEW; |
d7ab1bab | 1845 | } |
d2b7e92c MW |
1846 | mpmul_init(&mm); |
1847 | for (j = 0; j < i; j++) mpmul_add(&mm, v[j].m); | |
1848 | xx = mpmul_done(&mm); | |
1849 | for (j = 0; j < i; j++) { | |
1850 | mp_div(&y, 0, xx, v[j].m); | |
1851 | mp_gcd(&g, 0, 0, y, v[j].m); | |
1852 | if (!MP_EQ(g, MP_ONE)) VALERR("moduli must be pairwise coprime"); | |
1853 | } | |
1854 | ||
d7ab1bab | 1855 | c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0); |
1856 | mpcrt_create(&c->c, v, n, 0); | |
1857 | Py_DECREF(q); | |
d2b7e92c | 1858 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1859 | return ((PyObject *)c); |
1860 | ||
1861 | end: | |
1862 | if (v) { | |
1863 | n = i; | |
1864 | for (i = 0; i < n; i++) | |
1865 | MP_DROP(v[i].m); | |
1866 | xfree(v); | |
1867 | } | |
1868 | Py_XDECREF(q); | |
d2b7e92c | 1869 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1870 | return (0); |
1871 | } | |
1872 | ||
1873 | static PyObject *mcget_product(PyObject *me, void *hunoz) | |
1874 | { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); } | |
1875 | ||
1876 | static PyObject *mcget_moduli(PyObject *me, void *hunoz) | |
1877 | { | |
1878 | int i; | |
1879 | PyObject *q; | |
1880 | mpcrt *c = MPCRT_PY(me); | |
1881 | ||
1882 | if ((q = PyList_New(c->k)) == 0) return (0); | |
1883 | for (i = 0; i < c->k; i++) | |
8dd6ebb3 | 1884 | PyList_SET_ITEM(q, i, mp_pywrap(c->v[i].m)); |
d7ab1bab | 1885 | return (q); |
1886 | } | |
1887 | ||
637b9140 | 1888 | static const PyGetSetDef mpcrt_pygetset[] = { |
d7ab1bab | 1889 | #define GETSETNAME(op, name) mc##op##_##name |
1890 | GET (product, "C.product -> product of moduli") | |
1891 | GET (moduli, "C.moduli -> list of individual moduli") | |
1892 | #undef GETSETNAME | |
1893 | { 0 } | |
1894 | }; | |
1895 | ||
637b9140 | 1896 | static const PyMethodDef mpcrt_pymethods[] = { |
d7ab1bab | 1897 | #define METHNAME(name) mcmeth_##name |
1898 | METH (solve, "C.solve([R0, R1]) -> X mod C.product") | |
1899 | #undef METHNAME | |
1900 | { 0 } | |
1901 | }; | |
1902 | ||
ddd4720b | 1903 | static const PyTypeObject mpcrt_pytype_skel = { |
4648f560 | 1904 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1905 | "MPCRT", /* @tp_name@ */ |
d7ab1bab | 1906 | sizeof(mpcrt_pyobj), /* @tp_basicsize@ */ |
1907 | 0, /* @tp_itemsize@ */ | |
1908 | ||
1909 | mpcrt_pydealloc, /* @tp_dealloc@ */ | |
1910 | 0, /* @tp_print@ */ | |
1911 | 0, /* @tp_getattr@ */ | |
1912 | 0, /* @tp_setattr@ */ | |
1913 | 0, /* @tp_compare@ */ | |
1914 | 0, /* @tp_repr@ */ | |
1915 | 0, /* @tp_as_number@ */ | |
1916 | 0, /* @tp_as_sequence@ */ | |
1917 | 0, /* @tp_as_mapping@ */ | |
1918 | 0, /* @tp_hash@ */ | |
1919 | 0, /* @tp_call@ */ | |
1920 | 0, /* @tp_str@ */ | |
1921 | 0, /* @tp_getattro@ */ | |
1922 | 0, /* @tp_setattro@ */ | |
1923 | 0, /* @tp_as_buffer@ */ | |
1924 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1925 | Py_TPFLAGS_BASETYPE, | |
1926 | ||
1927 | /* @tp_doc@ */ | |
ef783f91 | 1928 | "MPCRT(SEQ): a context for solving Chinese Remainder Theorem problems.", |
d7ab1bab | 1929 | |
1930 | 0, /* @tp_traverse@ */ | |
1931 | 0, /* @tp_clear@ */ | |
1932 | 0, /* @tp_richcompare@ */ | |
1933 | 0, /* @tp_weaklistoffset@ */ | |
1934 | 0, /* @tp_iter@ */ | |
963a6148 | 1935 | 0, /* @tp_iternext@ */ |
637b9140 | 1936 | PYMETHODS(mpcrt), /* @tp_methods@ */ |
d7ab1bab | 1937 | 0, /* @tp_members@ */ |
637b9140 | 1938 | PYGETSET(mpcrt), /* @tp_getset@ */ |
d7ab1bab | 1939 | 0, /* @tp_base@ */ |
1940 | 0, /* @tp_dict@ */ | |
1941 | 0, /* @tp_descr_get@ */ | |
1942 | 0, /* @tp_descr_set@ */ | |
1943 | 0, /* @tp_dictoffset@ */ | |
1944 | 0, /* @tp_init@ */ | |
1945 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1946 | mpcrt_pynew, /* @tp_new@ */ | |
3aa33042 | 1947 | 0, /* @tp_free@ */ |
d7ab1bab | 1948 | 0 /* @tp_is_gc@ */ |
1949 | }; | |
1950 | ||
1951 | /*----- Binary polynomials ------------------------------------------------*/ | |
1952 | ||
1953 | static PyObject *gf_pyrepr(PyObject *o) | |
e8cd4ca5 | 1954 | { return mp_topystring(MP_X(o), 16, "GF(", "0x", ")"); } |
d7ab1bab | 1955 | |
1956 | static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op) | |
1957 | { | |
1958 | mp *xx, *yy; | |
1959 | int xl, yl; | |
1960 | int b; | |
1961 | ||
bf8910bd | 1962 | if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; |
d7ab1bab | 1963 | switch (op) { |
1964 | case Py_EQ: b = MP_EQ(xx, yy); break; | |
1965 | case Py_NE: b = !MP_EQ(xx, yy); break; | |
1966 | default: | |
1967 | xl = mp_bits(xx); | |
1968 | yl = mp_bits(yy); | |
1969 | switch (op) { | |
1970 | case Py_LT: b = xl < yl; break; | |
1971 | case Py_LE: b = xl <= yl; break; | |
1972 | case Py_GT: b = xl > yl; break; | |
1973 | case Py_GE: b = xl >= yl; break; | |
1974 | default: abort(); | |
1975 | } | |
1976 | break; | |
1977 | } | |
1978 | MP_DROP(xx); MP_DROP(yy); | |
1979 | return (getbool(b)); | |
1980 | } | |
1981 | ||
1982 | static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1983 | { | |
1984 | PyObject *x; | |
1985 | mp *z; | |
1986 | mp_pyobj *zz = 0; | |
1987 | int radix = 0; | |
827f89d7 | 1988 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 1989 | |
827f89d7 | 1990 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", KWLIST, &x, &radix)) |
d7ab1bab | 1991 | goto end; |
1992 | if (GF_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 1993 | if (!good_radix_p(radix, 1)) VALERR("radix out of range"); |
d7ab1bab | 1994 | if ((z = mp_frompyobject(x, radix)) == 0) { |
1995 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", | |
f984b31a | 1996 | Py_TYPE(x)->tp_name); |
d7ab1bab | 1997 | goto end; |
1998 | } | |
1999 | if (MP_NEGP(z)) { | |
2000 | MP_DROP(z); | |
2001 | VALERR("gf cannot be negative"); | |
2002 | } | |
2003 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
2004 | zz->x = z; | |
2005 | end: | |
2006 | return ((PyObject *)zz); | |
2007 | } | |
2008 | ||
d7ab1bab | 2009 | static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z) |
2010 | { | |
2011 | mp *xx = 0, *yy = 0, *zz = 0; | |
2012 | mp *r = 0; | |
2013 | PyObject *rc = 0; | |
2014 | ||
f3e22904 MW |
2015 | if ((xx = implicitgf(x)) == 0 || (yy = implicitmp(y)) == 0 || |
2016 | (z && z != Py_None && (zz = implicitgf(z)) == 0)) { | |
d7ab1bab | 2017 | mp_drop(xx); mp_drop(yy); mp_drop(zz); |
2018 | RETURN_NOTIMPL; | |
2019 | } | |
2020 | if (!z || z == Py_None) { | |
2021 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
2022 | r = gf_exp(MP_NEW, xx, yy); | |
2023 | } else { | |
2024 | gfreduce gr; | |
2025 | if (MP_ZEROP(zz)) ZDIVERR("zero modulus"); | |
2026 | if (MP_NEGP(yy)) { | |
2027 | if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end; | |
2028 | yy = mp_neg(yy, yy); | |
2029 | } | |
2030 | gfreduce_create(&gr, zz); | |
2031 | r = gfreduce_exp(&gr, MP_NEW, xx, yy); | |
2032 | gfreduce_destroy(&gr); | |
2033 | } | |
2034 | rc = gf_pywrap(r); | |
2035 | end: | |
2036 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
2037 | return (rc); | |
2038 | } | |
2039 | ||
7a75bb76 MW |
2040 | static PyObject *gfmeth_sqr(PyObject *me) |
2041 | { return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me)))); } | |
d7ab1bab | 2042 | |
2043 | static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg) | |
2044 | { | |
2045 | PyObject *z = 0; | |
2046 | mp *yy = 0, *zz = MP_NEW; | |
2047 | ||
2048 | if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end; | |
2049 | gf_gcd(&zz, 0, 0, MP_X(me), yy); | |
2050 | z = gf_pywrap(zz); | |
2051 | end: | |
2052 | if (yy) MP_DROP(yy); | |
2053 | return (z); | |
2054 | } | |
2055 | ||
2056 | static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg) | |
2057 | { | |
2058 | PyObject *z = 0; | |
2059 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
2060 | ||
2061 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy)) | |
2062 | goto end; | |
2063 | gf_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
2064 | z = Py_BuildValue("(NNN)", | |
2065 | gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv)); | |
2066 | end: | |
2067 | if (yy) MP_DROP(yy); | |
2068 | return (z); | |
2069 | } | |
2070 | ||
2071 | static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg) | |
2072 | { | |
2073 | PyObject *z = 0; | |
2074 | mp *yy = 0, *zz = MP_NEW; | |
2075 | ||
2076 | if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) || | |
2077 | (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
2078 | goto end; | |
2079 | z = gf_pywrap(zz); | |
2080 | end: | |
2081 | if (yy) MP_DROP(yy); | |
2082 | return (z); | |
2083 | } | |
2084 | ||
b16009b0 MW |
2085 | static PyObject *gfmeth_fromstring(PyObject *me, |
2086 | PyObject *arg, PyObject *kw) | |
27cbcf9d MW |
2087 | { |
2088 | int r = 0; | |
2089 | char *p; | |
2090 | Py_ssize_t len; | |
2091 | PyObject *z = 0; | |
2092 | mp *zz; | |
2093 | mptext_stringctx sc; | |
b16009b0 | 2094 | static const char *const kwlist[] = { "x", "radix", 0 }; |
27cbcf9d | 2095 | |
b16009b0 MW |
2096 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST, |
2097 | &p, &len, &r)) | |
27cbcf9d MW |
2098 | goto end; |
2099 | if (!good_radix_p(r, 1)) VALERR("bad radix"); | |
2100 | sc.buf = p; sc.lim = p + len; | |
2101 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 || | |
2102 | MP_NEGP(zz)) { | |
2103 | if (zz) MP_DROP(zz); | |
2104 | VALERR("bad binary polynomial"); | |
2105 | } | |
2106 | z = Py_BuildValue("(Ns#)", gf_pywrap(zz), | |
2107 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
2108 | end: | |
2109 | return (z); | |
2110 | } | |
2111 | ||
7a75bb76 MW |
2112 | static PyObject *gfmeth_irreduciblep(PyObject *me) |
2113 | { return getbool(gf_irreduciblep(MP_X(me))); } | |
d7ab1bab | 2114 | |
2115 | static PyObject *gfget_degree(PyObject *me, void *hunoz) | |
2116 | { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); } | |
2117 | ||
637b9140 | 2118 | static const PyGetSetDef gf_pygetset[] = { |
d7ab1bab | 2119 | #define GETSETNAME(op, name) gf##op##_##name |
2120 | GET (degree, "X.degree -> polynomial degree of X") | |
2121 | #undef GETSETNAME | |
2122 | #define GETSETNAME(op, name) mp##op##_##name | |
2123 | GET (nbits, "X.nbits -> bit length of X") | |
2124 | GET (noctets, "X.noctets -> octet length of X") | |
2125 | #undef GETSETNAME | |
2126 | { 0 } | |
2127 | }; | |
2128 | ||
637b9140 | 2129 | static const PyMethodDef gf_pymethods[] = { |
d7ab1bab | 2130 | #define METHNAME(func) gfmeth_##func |
2131 | METH (setbit, "X.setbit(N) -> X with bit N set") | |
2132 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
2133 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
7a75bb76 | 2134 | NAMETH(sqr, "X.sqr() -> X^2") |
d7ab1bab | 2135 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") |
ef783f91 | 2136 | METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") |
d7ab1bab | 2137 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
7a75bb76 | 2138 | NAMETH(irreduciblep, "X.irreduciblep() -> true/false") |
b16009b0 MW |
2139 | KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n" |
2140 | " Parse STR as a binary polynomial, according to RADIX. If RADIX is\n" | |
2141 | " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n" | |
2142 | " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.") | |
1e8aaf8b | 2143 | SMTH (_implicit, 0) |
b16009b0 MW |
2144 | SMTH (loadl, "loadl(STR) -> X: read little-endian bytes") |
2145 | SMTH (loadb, "loadb(STR) -> X: read big-endian bytes") | |
2146 | SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 2147 | #undef METHNAME |
2148 | #define METHNAME(func) mpmeth_##func | |
1df8d5fe MW |
2149 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
2150 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
2151 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
ef783f91 MW |
2152 | KWMETH(storel2c, "X.storel2c([len = -1]) -> " |
2153 | "little-endian bytes, two's complement") | |
2154 | KWMETH(storeb2c, "X.storeb2c([len = -1]) -> " | |
2155 | "big-endian bytes, two's complement") | |
7a75bb76 | 2156 | NAMETH(tobuf, "X.tobuf() -> buffer format") |
d7ab1bab | 2157 | #undef METHNAME |
2158 | { 0 } | |
2159 | }; | |
2160 | ||
637b9140 | 2161 | static const PyNumberMethods gf_pynumber = { |
d7ab1bab | 2162 | gf_pyadd, /* @nb_add@ */ |
2163 | gf_pysub, /* @nb_subtract@ */ | |
2164 | gf_pymul, /* @nb_multiply@ */ | |
d472b9a1 | 2165 | #ifdef PY2 |
d7ab1bab | 2166 | 0, /* @nb_divide@ */ |
d472b9a1 | 2167 | #endif |
d7ab1bab | 2168 | gf_pymod, /* @nb_remainder@ */ |
2169 | gf_pydivmod, /* @nb_divmod@ */ | |
2170 | gf_pyexp, /* @nb_power@ */ | |
2171 | mp_pyid, /* @nb_negative@ */ | |
2172 | mp_pyid, /* @nb_positive@ */ | |
2173 | mp_pyid, /* @nb_absolute@ */ | |
2174 | mp_pynonzerop, /* @nb_nonzero@ */ | |
2175 | 0 /* doesn't make any sense */, /* @nb_invert@ */ | |
2176 | gf_pylsl, /* @nb_lshift@ */ | |
2177 | gf_pylsr, /* @nb_rshift@ */ | |
2178 | gf_pyand, /* @nb_and@ */ | |
2179 | gf_pyxor, /* @nb_xor@ */ | |
2180 | gf_pyor, /* @nb_or@ */ | |
d472b9a1 | 2181 | #ifdef PY2 |
d7ab1bab | 2182 | gf_pycoerce, /* @nb_coerce@ */ |
d472b9a1 | 2183 | #endif |
d7ab1bab | 2184 | mp_pyint, /* @nb_int@ */ |
d472b9a1 | 2185 | PY23(mp_pylong, 0), /* @nb_long@ */ |
d7ab1bab | 2186 | 0 /* doesn't make any sense */, /* @nb_float@ */ |
d472b9a1 | 2187 | #ifdef PY2 |
d7ab1bab | 2188 | mp_pyoct, /* @nb_oct@ */ |
2189 | mp_pyhex, /* @nb_hex@ */ | |
d472b9a1 | 2190 | #endif |
d7ab1bab | 2191 | |
2192 | 0, /* @nb_inplace_add@ */ | |
2193 | 0, /* @nb_inplace_subtract@ */ | |
2194 | 0, /* @nb_inplace_multiply@ */ | |
d472b9a1 | 2195 | #ifdef PY2 |
d7ab1bab | 2196 | 0, /* @nb_inplace_divide@ */ |
d472b9a1 | 2197 | #endif |
d7ab1bab | 2198 | 0, /* @nb_inplace_remainder@ */ |
2199 | 0, /* @nb_inplace_power@ */ | |
2200 | 0, /* @nb_inplace_lshift@ */ | |
2201 | 0, /* @nb_inplace_rshift@ */ | |
2202 | 0, /* @nb_inplace_and@ */ | |
2203 | 0, /* @nb_inplace_xor@ */ | |
2204 | 0, /* @nb_inplace_or@ */ | |
2205 | ||
2206 | gf_pydiv, /* @nb_floor_divide@ */ | |
2207 | 0, /* @nb_true_divide@ */ | |
2208 | 0, /* @nb_inplace_floor_divide@ */ | |
2209 | 0, /* @nb_inplace_true_divide@ */ | |
8aafc119 MW |
2210 | |
2211 | mp_pyint, /* @nb_index@ */ | |
d7ab1bab | 2212 | }; |
2213 | ||
ddd4720b | 2214 | static const PyTypeObject gf_pytype_skel = { |
4648f560 | 2215 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2216 | "GF", /* @tp_name@ */ |
d7ab1bab | 2217 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
2218 | 0, /* @tp_itemsize@ */ | |
2219 | ||
2220 | mp_pydealloc, /* @tp_dealloc@ */ | |
2221 | 0, /* @tp_print@ */ | |
2222 | 0, /* @tp_getattr@ */ | |
2223 | 0, /* @tp_setattr@ */ | |
2224 | 0, /* @tp_compare@ */ | |
2225 | gf_pyrepr, /* @tp_repr@ */ | |
637b9140 | 2226 | PYNUMBER(gf), /* @tp_as_number@ */ |
d7ab1bab | 2227 | 0, /* @tp_as_sequence@ */ |
2228 | 0, /* @tp_as_mapping@ */ | |
ab723d73 | 2229 | mp_pyhash, /* @tp_hash@ */ |
d7ab1bab | 2230 | 0, /* @tp_call@ */ |
2231 | mp_pyhex, /* @tp_str@ */ | |
2232 | 0, /* @tp_getattro@ */ | |
2233 | 0, /* @tp_setattro@ */ | |
2234 | 0, /* @tp_as_buffer@ */ | |
2235 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2236 | Py_TPFLAGS_CHECKTYPES | | |
2237 | Py_TPFLAGS_BASETYPE, | |
2238 | ||
2239 | /* @tp_doc@ */ | |
ef783f91 MW |
2240 | "Binary polynomials. Support almost all the standard arithmetic\n" |
2241 | "operations.\n" | |
2242 | "\n" | |
2243 | "Constructor GF(X, [radix = R]) attempts to convert X to a `GF'. If\n" | |
2244 | "X is a string, it's read in radix-R form, or we look for a prefix\n" | |
2245 | "if R = 0. Other acceptable things are field elements, elliptic curve\n" | |
d472b9a1 | 2246 | PY23( |
ef783f91 | 2247 | "points, group elements, Python `int' and `long' objects, and anything\n" |
d472b9a1 MW |
2248 | "with an integer conversion.\n", |
2249 | "points, group elements, Python `int' objects, and anything with an\n" | |
2250 | "integer conversion.\n") | |
ef783f91 MW |
2251 | "\n" |
2252 | "The name is hopelessly wrong from a technical point of view, but\n" | |
2253 | "but it's much easier to type than `p2' or `c2' or whatever.\n" | |
2254 | "\n" | |
2255 | "Notes:\n" | |
2256 | "\n" | |
2257 | " * Use `//' for Euclidean division: `/' gives exact rational division.", | |
d7ab1bab | 2258 | |
2259 | 0, /* @tp_traverse@ */ | |
2260 | 0, /* @tp_clear@ */ | |
2261 | gf_pyrichcompare, /* @tp_richcompare@ */ | |
2262 | 0, /* @tp_weaklistoffset@ */ | |
2263 | 0, /* @tp_iter@ */ | |
963a6148 | 2264 | 0, /* @tp_iternext@ */ |
637b9140 | 2265 | PYMETHODS(gf), /* @tp_methods@ */ |
d7ab1bab | 2266 | 0, /* @tp_members@ */ |
637b9140 | 2267 | PYGETSET(gf), /* @tp_getset@ */ |
d7ab1bab | 2268 | 0, /* @tp_base@ */ |
2269 | 0, /* @tp_dict@ */ | |
2270 | 0, /* @tp_descr_get@ */ | |
2271 | 0, /* @tp_descr_set@ */ | |
2272 | 0, /* @tp_dictoffset@ */ | |
2273 | 0, /* @tp_init@ */ | |
2274 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2275 | gf_pynew, /* @tp_new@ */ | |
3aa33042 | 2276 | 0, /* @tp_free@ */ |
d7ab1bab | 2277 | 0 /* @tp_is_gc@ */ |
2278 | }; | |
2279 | ||
d7ab1bab | 2280 | /*----- Sparse poly reduction ---------------------------------------------*/ |
2281 | ||
ddd4720b MW |
2282 | static PyTypeObject *gfreduce_pytype; |
2283 | ||
d7ab1bab | 2284 | typedef struct gfreduce_pyobj { |
2285 | PyObject_HEAD | |
2286 | gfreduce mr; | |
2287 | } gfreduce_pyobj; | |
2288 | ||
2289 | #define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr) | |
2290 | ||
2291 | static PyObject *grmeth_exp(PyObject *me, PyObject *arg) | |
2292 | { | |
2293 | PyObject *rc = 0; | |
2294 | mp *yy = 0, *zz = 0; | |
2295 | ||
2296 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz)) | |
2297 | goto end; | |
2298 | if (MP_NEGP(zz)) { | |
2299 | if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end; | |
2300 | zz = mp_neg(zz, zz); | |
2301 | } | |
2302 | rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz)); | |
2303 | end: | |
2304 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
2305 | return (rc); | |
2306 | } | |
2307 | ||
fbc145f3 MW |
2308 | static PyObject *grmeth_trace(PyObject *me, PyObject *arg) |
2309 | { | |
2310 | PyObject *rc = 0; | |
2311 | mp *xx = 0; | |
2312 | ||
2313 | if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end; | |
2314 | rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx)); | |
2315 | end: | |
2316 | if (xx) MP_DROP(xx); | |
2317 | return (rc); | |
2318 | } | |
2319 | ||
2320 | static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg) | |
2321 | { | |
2322 | PyObject *rc = 0; | |
2323 | mp *xx = 0; | |
2324 | ||
2325 | if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end; | |
2326 | rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx)); | |
2327 | end: | |
2328 | if (xx) MP_DROP(xx); | |
2329 | return (rc); | |
2330 | } | |
2331 | ||
2332 | static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg) | |
2333 | { | |
2334 | PyObject *rc = 0; | |
2335 | mp *xx = 0, *yy; | |
2336 | ||
2337 | if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end; | |
2338 | if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2339 | VALERR("no modular square root"); | |
2340 | rc = gf_pywrap(yy); | |
2341 | end: | |
2342 | if (xx) MP_DROP(xx); | |
2343 | return (rc); | |
2344 | } | |
2345 | ||
2346 | static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg) | |
2347 | { | |
2348 | PyObject *rc = 0; | |
2349 | mp *xx = 0, *yy; | |
2350 | ||
2351 | if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end; | |
2352 | if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2353 | VALERR("no solution found"); | |
2354 | rc = gf_pywrap(yy); | |
2355 | end: | |
2356 | if (xx) MP_DROP(xx); | |
2357 | return (rc); | |
2358 | } | |
2359 | ||
d7ab1bab | 2360 | static PyObject *grmeth_reduce(PyObject *me, PyObject *arg) |
2361 | { | |
2362 | PyObject *z = 0; | |
2363 | mp *yy = 0; | |
2364 | ||
2365 | if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end; | |
2366 | z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy)); | |
2367 | end: | |
2368 | return (z); | |
2369 | } | |
2370 | ||
2371 | static void gfreduce_pydealloc(PyObject *me) | |
2372 | { | |
2373 | gfreduce_destroy(GFREDUCE_PY(me)); | |
3aa33042 | 2374 | FREEOBJ(me); |
d7ab1bab | 2375 | } |
2376 | ||
2377 | static PyObject *gfreduce_pynew(PyTypeObject *ty, | |
2378 | PyObject *arg, PyObject *kw) | |
2379 | { | |
2380 | gfreduce_pyobj *mr = 0; | |
2381 | gfreduce r; | |
827f89d7 | 2382 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 2383 | mp *xx = 0; |
2384 | ||
827f89d7 | 2385 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convgf, &xx)) |
d7ab1bab | 2386 | goto end; |
2387 | if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!"); | |
2388 | gfreduce_create(&r, xx); | |
2389 | mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0); | |
2390 | mr->mr = r; | |
2391 | end: | |
2392 | if (xx) MP_DROP(xx); | |
2393 | return ((PyObject *)mr); | |
2394 | } | |
2395 | ||
2396 | static PyObject *grget_m(PyObject *me, void *hunoz) | |
2397 | { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); } | |
2398 | ||
637b9140 | 2399 | static const PyGetSetDef gfreduce_pygetset[] = { |
d7ab1bab | 2400 | #define GETSETNAME(op, name) gr##op##_##name |
2401 | GET (m, "R.m -> reduction polynomial") | |
2402 | #undef GETSETNAME | |
2403 | { 0 } | |
2404 | }; | |
2405 | ||
637b9140 | 2406 | static const PyMethodDef gfreduce_pymethods[] = { |
d7ab1bab | 2407 | #define METHNAME(name) grmeth_##name |
2408 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
fbc145f3 | 2409 | METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}") |
ef783f91 | 2410 | METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}") |
fbc145f3 MW |
2411 | METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R") |
2412 | METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R") | |
d7ab1bab | 2413 | METH (exp, "R.exp(X, N) -> X^N mod B.m") |
2414 | #undef METHNAME | |
2415 | { 0 } | |
2416 | }; | |
2417 | ||
ddd4720b | 2418 | static const PyTypeObject gfreduce_pytype_skel = { |
4648f560 | 2419 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2420 | "GFReduce", /* @tp_name@ */ |
d7ab1bab | 2421 | sizeof(gfreduce_pyobj), /* @tp_basicsize@ */ |
2422 | 0, /* @tp_itemsize@ */ | |
2423 | ||
2424 | gfreduce_pydealloc, /* @tp_dealloc@ */ | |
2425 | 0, /* @tp_print@ */ | |
2426 | 0, /* @tp_getattr@ */ | |
2427 | 0, /* @tp_setattr@ */ | |
2428 | 0, /* @tp_compare@ */ | |
2429 | 0, /* @tp_repr@ */ | |
2430 | 0, /* @tp_as_number@ */ | |
2431 | 0, /* @tp_as_sequence@ */ | |
2432 | 0, /* @tp_as_mapping@ */ | |
2433 | 0, /* @tp_hash@ */ | |
2434 | 0, /* @tp_call@ */ | |
2435 | 0, /* @tp_str@ */ | |
2436 | 0, /* @tp_getattro@ */ | |
2437 | 0, /* @tp_setattro@ */ | |
2438 | 0, /* @tp_as_buffer@ */ | |
2439 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2440 | Py_TPFLAGS_BASETYPE, | |
2441 | ||
2442 | /* @tp_doc@ */ | |
ef783f91 | 2443 | "GFReduce(N): a context for reduction modulo sparse polynomials.", |
d7ab1bab | 2444 | |
2445 | 0, /* @tp_traverse@ */ | |
2446 | 0, /* @tp_clear@ */ | |
2447 | 0, /* @tp_richcompare@ */ | |
2448 | 0, /* @tp_weaklistoffset@ */ | |
2449 | 0, /* @tp_iter@ */ | |
963a6148 | 2450 | 0, /* @tp_iternext@ */ |
637b9140 | 2451 | PYMETHODS(gfreduce), /* @tp_methods@ */ |
d7ab1bab | 2452 | 0, /* @tp_members@ */ |
637b9140 | 2453 | PYGETSET(gfreduce), /* @tp_getset@ */ |
d7ab1bab | 2454 | 0, /* @tp_base@ */ |
2455 | 0, /* @tp_dict@ */ | |
2456 | 0, /* @tp_descr_get@ */ | |
2457 | 0, /* @tp_descr_set@ */ | |
2458 | 0, /* @tp_dictoffset@ */ | |
2459 | 0, /* @tp_init@ */ | |
2460 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2461 | gfreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 2462 | 0, /* @tp_free@ */ |
d7ab1bab | 2463 | 0 /* @tp_is_gc@ */ |
2464 | }; | |
2465 | ||
2466 | /*----- Normal/poly transformation ----------------------------------------*/ | |
2467 | ||
ddd4720b MW |
2468 | static PyTypeObject *gfn_pytype; |
2469 | ||
d7ab1bab | 2470 | typedef struct gfn_pyobj { |
2471 | PyObject_HEAD | |
2472 | mp *p; | |
2473 | gfn ntop, pton; | |
2474 | } gfn_pyobj; | |
2475 | ||
d7ab1bab | 2476 | #define GFN_P(o) (((gfn_pyobj *)(o))->p) |
2477 | #define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton) | |
2478 | #define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop) | |
2479 | ||
2480 | static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
2481 | { | |
2482 | mp *p = 0, *beta = 0; | |
2483 | gfn_pyobj *gg = 0; | |
827f89d7 | 2484 | static const char *const kwlist[] = { "p", "beta", 0 }; |
d7ab1bab | 2485 | |
827f89d7 | 2486 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", KWLIST, |
d7ab1bab | 2487 | convgf, &p, convgf, &beta)) |
2488 | goto end; | |
2489 | gg = PyObject_New(gfn_pyobj, ty); | |
79ac6c22 | 2490 | gg->p = 0; |
d7ab1bab | 2491 | if (gfn_create(p, beta, &gg->ntop, &gg->pton)) { |
79ac6c22 | 2492 | Py_DECREF(gg); |
d7ab1bab | 2493 | gg = 0; |
2494 | VALERR("can't invert transformation matrix"); | |
2495 | } | |
2496 | gg->p = MP_COPY(p); | |
2497 | end: | |
2498 | mp_drop(p); | |
2499 | mp_drop(beta); | |
2500 | return ((PyObject *)gg); | |
2501 | } | |
2502 | ||
2503 | static PyObject *gfnget_p(PyObject *me, void *hunoz) | |
2504 | { return (gf_pywrap(MP_COPY(GFN_P(me)))); } | |
2505 | ||
2506 | static PyObject *gfnget_beta(PyObject *me, void *hunoz) | |
2507 | { | |
2508 | gfn *n = GFN_NTOP(me); | |
2509 | mp *x = n->r[n->n - 1]; | |
2510 | return (gf_pywrap(MP_COPY(x))); | |
2511 | } | |
2512 | ||
2513 | #define XFORMOP(name, NAME) \ | |
2514 | static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \ | |
2515 | { \ | |
2516 | mp *xx = 0; \ | |
2517 | mp *z = 0; \ | |
2518 | \ | |
2519 | if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \ | |
2520 | z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \ | |
2521 | end: \ | |
2522 | mp_drop(xx); \ | |
2523 | if (!z) return (0); \ | |
62ce807d | 2524 | return (gf_pywrap(z)); \ |
d7ab1bab | 2525 | } |
2526 | XFORMOP(pton, PTON) | |
2527 | XFORMOP(ntop, NTOP) | |
2528 | #undef XFORMOP | |
2529 | ||
2530 | static void gfn_pydealloc(PyObject *me) | |
2531 | { | |
79ac6c22 | 2532 | if (GFN_P(me)) { |
b76bb841 | 2533 | MP_DROP(GFN_P(me)); |
79ac6c22 MW |
2534 | gfn_destroy(GFN_PTON(me)); |
2535 | gfn_destroy(GFN_NTOP(me)); | |
2536 | } | |
3aa33042 | 2537 | FREEOBJ(me); |
d7ab1bab | 2538 | } |
2539 | ||
637b9140 | 2540 | static const PyGetSetDef gfn_pygetset[] = { |
d7ab1bab | 2541 | #define GETSETNAME(op, name) gfn##op##_##name |
2542 | GET (p, "X.p -> polynomial basis, as polynomial") | |
2543 | GET (beta, "X.beta -> normal basis element, in poly form") | |
2544 | #undef GETSETNAME | |
2545 | { 0 } | |
2546 | }; | |
2547 | ||
637b9140 | 2548 | static const PyMethodDef gfn_pymethods[] = { |
d7ab1bab | 2549 | #define METHNAME(name) gfnmeth_##name |
2550 | METH (pton, "X.pton(A) -> normal-basis representation of A") | |
2551 | METH (ntop, "X.ntop(A) -> polynomial-basis representation of A") | |
2552 | #undef METHNAME | |
2553 | { 0 } | |
2554 | }; | |
2555 | ||
ddd4720b | 2556 | static const PyTypeObject gfn_pytype_skel = { |
4648f560 | 2557 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2558 | "GFN", /* @tp_name@ */ |
d7ab1bab | 2559 | sizeof(gfn_pyobj), /* @tp_basicsize@ */ |
2560 | 0, /* @tp_itemsize@ */ | |
2561 | ||
2562 | gfn_pydealloc, /* @tp_dealloc@ */ | |
2563 | 0, /* @tp_print@ */ | |
2564 | 0, /* @tp_getattr@ */ | |
2565 | 0, /* @tp_setattr@ */ | |
2566 | 0, /* @tp_compare@ */ | |
2567 | 0, /* @tp_repr@ */ | |
2568 | 0, /* @tp_as_number@ */ | |
2569 | 0, /* @tp_as_sequence@ */ | |
2570 | 0, /* @tp_as_mapping@ */ | |
2571 | 0, /* @tp_hash@ */ | |
2572 | 0, /* @tp_call@ */ | |
2573 | 0, /* @tp_str@ */ | |
2574 | 0, /* @tp_getattro@ */ | |
2575 | 0, /* @tp_setattro@ */ | |
2576 | 0, /* @tp_as_buffer@ */ | |
2577 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2578 | Py_TPFLAGS_BASETYPE, | |
2579 | ||
2580 | /* @tp_doc@ */ | |
ef783f91 MW |
2581 | "GFN(P, BETA): an object for transforming elements of binary fields\n" |
2582 | " between polynomial and normal basis representations.", | |
d7ab1bab | 2583 | |
2584 | 0, /* @tp_traverse@ */ | |
2585 | 0, /* @tp_clear@ */ | |
2586 | 0, /* @tp_richcompare@ */ | |
2587 | 0, /* @tp_weaklistoffset@ */ | |
2588 | 0, /* @tp_iter@ */ | |
963a6148 | 2589 | 0, /* @tp_iternext@ */ |
637b9140 | 2590 | PYMETHODS(gfn), /* @tp_methods@ */ |
d7ab1bab | 2591 | 0, /* @tp_members@ */ |
637b9140 | 2592 | PYGETSET(gfn), /* @tp_getset@ */ |
d7ab1bab | 2593 | 0, /* @tp_base@ */ |
2594 | 0, /* @tp_dict@ */ | |
2595 | 0, /* @tp_descr_get@ */ | |
2596 | 0, /* @tp_descr_set@ */ | |
2597 | 0, /* @tp_dictoffset@ */ | |
2598 | 0, /* @tp_init@ */ | |
2599 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2600 | gfn_pynew, /* @tp_new@ */ | |
3aa33042 | 2601 | 0, /* @tp_free@ */ |
d7ab1bab | 2602 | 0 /* @tp_is_gc@ */ |
2603 | }; | |
2604 | ||
2605 | /*----- Glue --------------------------------------------------------------*/ | |
2606 | ||
cc36f2d8 MW |
2607 | static const struct nameval consts[] = { |
2608 | CONST(MPW_MAX), | |
2609 | { 0 } | |
2610 | }; | |
2611 | ||
d7ab1bab | 2612 | void mp_pyinit(void) |
2613 | { | |
2614 | INITTYPE(mp, root); | |
2615 | INITTYPE(gf, root); | |
32507e35 | 2616 | INITTYPE(mpmul, root); |
d7ab1bab | 2617 | INITTYPE(mpmont, root); |
2618 | INITTYPE(mpbarrett, root); | |
2619 | INITTYPE(mpreduce, root); | |
2620 | INITTYPE(mpcrt, root); | |
2621 | INITTYPE(gfreduce, root); | |
2622 | INITTYPE(gfn, root); | |
d7ab1bab | 2623 | } |
2624 | ||
2625 | void mp_pyinsert(PyObject *mod) | |
2626 | { | |
2627 | INSERT("MP", mp_pytype); | |
32507e35 | 2628 | INSERT("MPMul", mpmul_pytype); |
d7ab1bab | 2629 | INSERT("MPMont", mpmont_pytype); |
2630 | INSERT("MPBarrett", mpbarrett_pytype); | |
2631 | INSERT("MPReduce", mpreduce_pytype); | |
2632 | INSERT("MPCRT", mpcrt_pytype); | |
2633 | INSERT("GF", gf_pytype); | |
2634 | INSERT("GFReduce", gfreduce_pytype); | |
2635 | INSERT("GFN", gfn_pytype); | |
cc36f2d8 | 2636 | setconstants(mod, consts); |
d7ab1bab | 2637 | } |
2638 | ||
2639 | /*----- That's all, folks -------------------------------------------------*/ |