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; | |
a4cc2ca5 MW |
125 | if (sc.buf + 2 < sc.lim && sc.buf[0] == '0' && |
126 | (radix == 16 ? (sc.buf[1] == 'x' || sc.buf[1] == 'X') : | |
127 | radix == 8 ? (sc.buf[1] == 'o' || sc.buf[1] == 'O') : | |
128 | radix == 2 ? (sc.buf[1] == 'b' || sc.buf[1] == 'B') : | |
129 | 0)) | |
130 | sc.buf += 2; | |
d7ab1bab | 131 | x = mp_read(MP_NEW, radix, &mptext_stringops, &sc); |
132 | if (!x) return (0); | |
133 | if (sc.buf < sc.lim) { MP_DROP(x); return (0); } | |
134 | return (x); | |
135 | } | |
f368b46e MW |
136 | if ((x = tomp(o)) != 0) |
137 | return (x); | |
d7ab1bab | 138 | return (0); |
139 | } | |
140 | ||
141 | PyObject *mp_topystring(mp *x, int radix, const char *xpre, | |
142 | const char *pre, const char *post) | |
143 | { | |
144 | int len = mptext_len(x, radix) + 1; | |
145 | mptext_stringctx sc; | |
146 | PyObject *o; | |
147 | size_t xprelen = xpre ? strlen(xpre) : 0; | |
148 | size_t prelen = pre ? strlen(pre) : 0; | |
149 | size_t postlen = post ? strlen(post) : 0; | |
150 | char *p; | |
151 | MP_COPY(x); | |
cfb291f0 | 152 | TEXT_PREPAREWRITE(o, p, len + 1 + xprelen + prelen + postlen); |
d7ab1bab | 153 | sc.buf = p; |
154 | if (xpre) { memcpy(sc.buf, xpre, xprelen); sc.buf += xprelen; } | |
155 | if (MP_NEGP(x)) { *sc.buf++ = '-'; x = mp_neg(x, x); } | |
156 | if (pre) { memcpy(sc.buf, pre, prelen); sc.buf += prelen; } | |
157 | sc.lim = sc.buf + len; | |
158 | mp_write(x, radix, &mptext_stringops, &sc); | |
159 | if (post) { memcpy(sc.buf, post, postlen); sc.buf += postlen; } | |
160 | MP_DROP(x); | |
cfb291f0 | 161 | TEXT_DONEWRITE(o, sc.buf - p); |
d7ab1bab | 162 | return (o); |
163 | } | |
164 | ||
f368b46e MW |
165 | static int good_radix_p(int r, int readp) |
166 | { | |
167 | return ((r >= -255 && r <= -2) || | |
168 | (readp && r == 0) || | |
169 | (r >= 2 && r <= 62)); | |
170 | } | |
171 | ||
d7ab1bab | 172 | PyObject *mp_pywrap(mp *x) |
173 | { | |
174 | mp_pyobj *z = PyObject_New(mp_pyobj, mp_pytype); | |
175 | z->x = x; | |
176 | return ((PyObject *)z); | |
177 | } | |
178 | ||
179 | PyObject *gf_pywrap(mp *x) | |
180 | { | |
181 | mp_pyobj *z = PyObject_New(mp_pyobj, gf_pytype); | |
182 | z->x = x; | |
183 | return ((PyObject *)z); | |
184 | } | |
185 | ||
bc243788 | 186 | int mp_tolong_checked(mp *x, long *l, int must) |
d7ab1bab | 187 | { |
188 | static mp *longmin = 0, *longmax = 0; | |
189 | int rc = -1; | |
190 | ||
191 | if (!longmax) { | |
192 | longmin = mp_fromlong(MP_NEW, LONG_MIN); | |
193 | longmax = mp_fromlong(MP_NEW, LONG_MAX); | |
194 | } | |
bc243788 MW |
195 | if (MP_CMP(x, <, longmin) || MP_CMP(x, >, longmax)) { |
196 | if (must) VALERR("mp out of range for int"); | |
197 | else goto end; | |
198 | } | |
d7ab1bab | 199 | *l = mp_tolong(x); |
200 | rc = 0; | |
201 | end: | |
202 | return (rc); | |
203 | } | |
204 | ||
9a3b6339 | 205 | /*----- Arbitrary-precision integers --------------------------------------*/ |
d7ab1bab | 206 | |
207 | static void mp_pydealloc(PyObject *o) | |
208 | { | |
209 | MP_DROP(MP_X(o)); | |
3aa33042 | 210 | FREEOBJ(o); |
d7ab1bab | 211 | } |
212 | ||
213 | static PyObject *mp_pyrepr(PyObject *o) | |
e8cd4ca5 | 214 | { return mp_topystring(MP_X(o), 10, "MP(", 0, ")"); } |
d7ab1bab | 215 | |
216 | static PyObject *mp_pystr(PyObject *o) | |
217 | { return mp_topystring(MP_X(o), 10, 0, 0, 0); } | |
218 | ||
219 | mp *tomp(PyObject *o) | |
220 | { | |
221 | PyObject *l; | |
222 | mp *x; | |
223 | ||
1810cc51 | 224 | if (!o || PyFloat_Check(o)) |
d7ab1bab | 225 | return (0); |
226 | else if (MP_PYCHECK(o) || GF_PYCHECK(o)) | |
227 | return (MP_COPY(MP_X(o))); | |
228 | else if (FE_PYCHECK(o)) | |
229 | return (F_OUT(FE_F(o), MP_NEW, FE_X(o))); | |
230 | else if (PFILT_PYCHECK(o)) | |
231 | return (MP_COPY(PFILT_F(o)->m)); | |
232 | else if (ECPT_PYCHECK(o)) { | |
233 | ec p = EC_INIT; | |
46c13d77 | 234 | if (EC_ATINF(ECPT_P(o))) return (0); |
d7ab1bab | 235 | getecptout(&p, o); |
236 | x = MP_COPY(p.x); | |
237 | EC_DESTROY(&p); | |
238 | return (x); | |
239 | } else if (GE_PYCHECK(o)) { | |
240 | if ((x = G_TOINT(GE_G(o), MP_NEW, GE_X(o))) == 0) | |
241 | return (0); | |
242 | return (x); | |
4ea7701c | 243 | } |
d472b9a1 | 244 | #ifdef PY2 |
4ea7701c | 245 | else if (PyInt_Check(o)) |
d7ab1bab | 246 | return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o))); |
d472b9a1 | 247 | #endif |
d7ab1bab | 248 | else if ((l = PyNumber_Long(o)) != 0) { |
f368b46e | 249 | x = mp_frompylong(l); |
d7ab1bab | 250 | Py_DECREF(l); |
251 | return (x); | |
252 | } else { | |
253 | PyErr_Clear(); | |
254 | return (0); | |
255 | } | |
256 | } | |
257 | ||
258 | mp *getmp(PyObject *o) | |
259 | { | |
260 | mp *x = 0; | |
261 | if (!o) return (0); | |
262 | if ((x = tomp(o)) == 0) { | |
263 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", | |
f984b31a | 264 | Py_TYPE(o)->tp_name); |
d7ab1bab | 265 | } |
266 | return (x); | |
267 | } | |
268 | ||
269 | int convmp(PyObject *o, void *p) | |
270 | { | |
271 | mp *x; | |
272 | if ((x = getmp(o)) == 0) return (0); | |
273 | *(mp **)p = x; | |
274 | return (1); | |
275 | } | |
276 | ||
277 | mp *getgf(PyObject *o) | |
278 | { | |
279 | mp *x = 0; | |
280 | if (!o) return (0); | |
281 | if ((x = tomp(o)) == 0) { | |
282 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", | |
f984b31a | 283 | Py_TYPE(o)->tp_name); |
d7ab1bab | 284 | } |
285 | return (x); | |
286 | } | |
287 | ||
288 | int convgf(PyObject *o, void *p) | |
289 | { | |
290 | mp *x; | |
291 | if ((x = getgf(o)) == 0) return (0); | |
292 | *(mp **)p = x; | |
293 | return (1); | |
294 | } | |
295 | ||
ef6b9516 | 296 | mp *implicitmp(PyObject *o) |
bf8910bd | 297 | { |
7032ee7c MW |
298 | PyObject *l; |
299 | ||
300 | if (!o || GF_PYCHECK(o) || FE_PYCHECK(o)) return (0); | |
301 | else if (MP_PYCHECK(o)) return (MP_COPY(MP_X(o))); | |
302 | else if (PFILT_PYCHECK(o)) return (MP_COPY(PFILT_F(o)->m)); | |
303 | #ifdef PY2 | |
304 | else if (PyInt_Check(o)) return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o))); | |
305 | #endif | |
306 | else if ((l = PyNumber_Index(o)) != 0) { | |
307 | #ifdef PY2 | |
308 | if (PyInt_Check(o)) return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o))); | |
309 | #endif | |
310 | if (PyLong_Check(o)) return (mp_frompylong(o)); | |
311 | } | |
312 | PyErr_Clear(); return (0); | |
bf8910bd MW |
313 | } |
314 | ||
ef6b9516 | 315 | mp *implicitgf(PyObject *o) |
bf8910bd | 316 | { |
7032ee7c MW |
317 | if (GF_PYCHECK(o)) return (MP_COPY(MP_X(o))); |
318 | return (0); | |
bf8910bd MW |
319 | } |
320 | ||
d7ab1bab | 321 | static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) |
322 | { | |
bf8910bd MW |
323 | if ((*xx = implicitmp(x)) == 0) |
324 | return (-1); | |
325 | if ((*yy = implicitmp(y)) == 0) { | |
326 | MP_DROP(*xx); | |
327 | return (-1); | |
328 | } | |
329 | return (0); | |
330 | } | |
331 | ||
332 | static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy) | |
333 | { | |
334 | if ((*xx = implicitgf(x)) == 0) | |
d7ab1bab | 335 | return (-1); |
bf8910bd | 336 | if ((*yy = implicitgf(y)) == 0) { |
d7ab1bab | 337 | MP_DROP(*xx); |
338 | return (-1); | |
339 | } | |
340 | return (0); | |
341 | } | |
342 | ||
1810cc51 MW |
343 | #define FPBINOP(name, pyop) \ |
344 | static PyObject *mp_py##name(PyObject *x, PyObject *y) { \ | |
345 | mp *xx, *yy, *zz; \ | |
346 | PyObject *l, *rc; \ | |
347 | if (PyFloat_Check(x)) { \ | |
348 | l = mp_topylong(MP_X(y)); rc = PyNumber_##pyop(x, l); \ | |
349 | Py_DECREF(l); return (rc); \ | |
350 | } else if (PyFloat_Check(y)) { \ | |
351 | l = mp_topylong(MP_X(x)); rc = PyNumber_##pyop(l, y); \ | |
352 | Py_DECREF(l); return (rc); \ | |
353 | } \ | |
354 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ | |
355 | zz = mp_##name(MP_NEW, xx, yy); \ | |
356 | MP_DROP(xx); MP_DROP(yy); \ | |
357 | return (mp_pywrap(zz)); \ | |
358 | } | |
359 | FPBINOP(add, Add) | |
360 | FPBINOP(sub, Subtract) | |
361 | FPBINOP(mul, Multiply) | |
362 | ||
d7ab1bab | 363 | #define gf_and mp_and |
364 | #define gf_or mp_or | |
365 | #define gf_xor mp_xor | |
366 | #define BINOP(pre, name) \ | |
367 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
368 | mp *xx, *yy, *zz; \ | |
bf8910bd | 369 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
d7ab1bab | 370 | zz = pre##_##name(MP_NEW, xx, yy); \ |
371 | MP_DROP(xx); MP_DROP(yy); \ | |
372 | return (pre##_pywrap(zz)); \ | |
373 | } | |
d7ab1bab | 374 | BINOP(mp, and2c) |
375 | BINOP(mp, or2c) | |
376 | BINOP(mp, xor2c) | |
377 | BINOP(gf, add) | |
378 | BINOP(gf, sub) | |
379 | BINOP(gf, mul) | |
380 | BINOP(gf, and) | |
381 | BINOP(gf, or) | |
382 | BINOP(gf, xor) | |
383 | #undef BINOP | |
384 | ||
385 | static mp *mp_abs(mp *d, mp *x) | |
386 | { | |
387 | if (MP_NEGP(x)) | |
388 | return (mp_neg(d, x)); | |
389 | MP_COPY(x); | |
390 | if (d) MP_DROP(d); | |
391 | return (x); | |
392 | } | |
393 | ||
394 | #define UNOP(pre, name) \ | |
395 | static PyObject *pre##_py##name(PyObject *x) \ | |
396 | { return mp_pywrap(pre##_##name(MP_NEW, MP_X(x))); } | |
397 | UNOP(mp, neg) | |
398 | UNOP(mp, abs) | |
399 | UNOP(mp, not2c) | |
400 | #undef UNOP | |
401 | ||
402 | static PyObject *mp_pyid(PyObject *x) { RETURN_OBJ(x); } | |
403 | ||
404 | #define gf_lsr mp_lsr | |
535b6476 | 405 | #define SHIFTOP(pre, PRE, name, rname) \ |
d7ab1bab | 406 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ |
535b6476 | 407 | PyObject *yix = 0; \ |
d7ab1bab | 408 | PyObject *z = 0; \ |
409 | long n; \ | |
535b6476 MW |
410 | if (!PRE##_PYCHECK(x)) RETURN_NOTIMPL; \ |
411 | if (GF_PYCHECK(y) || FE_PYCHECK(y)) RETURN_NOTIMPL; \ | |
412 | yix = PyNumber_Index(y); if (!yix) { PyErr_Clear(); RETURN_NOTIMPL; } \ | |
413 | n = PyInt_AsLong(yix); Py_DECREF(yix); \ | |
414 | if (n == -1 && PyErr_Occurred()) { PyErr_Clear(); RETURN_NOTIMPL; } \ | |
415 | if (n < 0) z = pre##_pywrap(mp_##rname(MP_NEW, MP_X(x), -n)); \ | |
416 | else z = pre##_pywrap(mp_##name(MP_NEW, MP_X(x), n)); \ | |
d7ab1bab | 417 | return (z); \ |
418 | } | |
535b6476 MW |
419 | SHIFTOP(mp, MP, lsl2c, lsr2c) |
420 | SHIFTOP(mp, MP, lsr2c, lsl2c) | |
421 | SHIFTOP(gf, GF, lsl, lsr) | |
422 | SHIFTOP(gf, GF, lsr, lsl) | |
d7ab1bab | 423 | #undef SHIFTOP |
424 | ||
425 | #define DIVOP(pre, name, qq, rr, gather) \ | |
426 | static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \ | |
427 | mp *xx, *yy; \ | |
428 | PyObject *z = 0; \ | |
429 | INIT_##qq(q) INIT_##rr(r) \ | |
bf8910bd | 430 | if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \ |
d7ab1bab | 431 | if (MP_ZEROP(yy)) \ |
432 | ZDIVERR("division by zero"); \ | |
433 | pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \ | |
434 | z = gather; \ | |
435 | end: \ | |
436 | MP_DROP(xx); MP_DROP(yy); \ | |
437 | return (z); \ | |
438 | } | |
439 | #define INIT_YES(p) mp *p = MP_NEW; | |
440 | #define INIT_NO(p) | |
441 | #define ARG_YES(p) &p | |
442 | #define ARG_NO(p) 0 | |
443 | DIVOP(mp, divmod, YES, YES, | |
444 | Py_BuildValue("(NN)", mp_pywrap(q), mp_pywrap(r))) | |
445 | DIVOP(mp, div, YES, NO, mp_pywrap(q)) | |
446 | DIVOP(mp, mod, NO, YES, mp_pywrap(r)) | |
447 | DIVOP(gf, divmod, YES, YES, | |
448 | Py_BuildValue("(NN)", gf_pywrap(q), gf_pywrap(r))) | |
449 | DIVOP(gf, div, YES, NO, gf_pywrap(q)) | |
450 | DIVOP(gf, mod, NO, YES, gf_pywrap(r)) | |
451 | #undef INIT_YES | |
452 | #undef INIT_NO | |
453 | #undef ARG_YES | |
454 | #undef ARG_NO | |
455 | #undef DIVOP | |
456 | ||
457 | static mp *mp_modinv_checked(mp *d, mp *x, mp *p) | |
458 | { | |
459 | mp *g = MP_NEW; | |
460 | mp_gcd(&g, 0, &d, p, x); | |
461 | if (!MP_EQ(g, MP_ONE)) { | |
462 | MP_DROP(g); MP_DROP(d); | |
463 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
464 | return (0); | |
465 | } | |
466 | MP_DROP(g); return (d); | |
467 | } | |
468 | ||
469 | static PyObject *mp_pyexp(PyObject *x, PyObject *y, PyObject *z) | |
470 | { | |
471 | mp *xx = 0, *yy = 0, *zz = 0; | |
472 | mp *r = 0; | |
473 | PyObject *rc = 0; | |
474 | ||
bf8910bd | 475 | if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 || |
f3e22904 | 476 | (z && z != Py_None && (zz = implicitmp(z)) == 0)) { |
d7ab1bab | 477 | mp_drop(xx); mp_drop(yy); mp_drop(zz); |
478 | RETURN_NOTIMPL; | |
479 | } | |
480 | if (!z || z == Py_None) { | |
481 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
482 | r = mp_exp(MP_NEW, xx, yy); | |
483 | } else { | |
484 | if (!MP_POSP(zz)) VALERR("modulus must be positive"); | |
485 | if (MP_NEGP(yy)) { | |
486 | if ((xx = mp_modinv_checked(xx, xx, zz)) == 0) goto end; | |
487 | yy = mp_neg(yy, yy); | |
488 | } | |
489 | if (MP_ODDP(zz)) { | |
490 | mpmont mm; | |
491 | mpmont_create(&mm, zz); | |
492 | r = mpmont_exp(&mm, MP_NEW, xx, yy); | |
493 | mpmont_destroy(&mm); | |
494 | } else { | |
495 | mpbarrett mb; | |
496 | mpbarrett_create(&mb, zz); | |
497 | r = mpbarrett_exp(&mb, MP_NEW, xx, yy); | |
498 | mpbarrett_destroy(&mb); | |
499 | } | |
500 | } | |
501 | rc = mp_pywrap(r); | |
502 | end: | |
503 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
504 | return (rc); | |
505 | } | |
506 | ||
507 | static mp *gf_modinv_checked(mp *d, mp *x, mp *p) | |
508 | { | |
509 | mp *g = MP_NEW; | |
510 | gf_gcd(&g, 0, &d, p, x); | |
511 | if (!MP_EQ(g, MP_ONE)) { | |
512 | MP_DROP(g); MP_DROP(d); | |
513 | PyErr_SetString(PyExc_ZeroDivisionError, "no modular inverse"); | |
514 | return (0); | |
515 | } | |
516 | MP_DROP(g); return (d); | |
517 | } | |
518 | ||
519 | #define BASEOP(name, radix, pre) \ | |
520 | static PyObject *mp_py##name(PyObject *x) \ | |
521 | { return mp_topystring(MP_X(x), radix, 0, pre, 0); } | |
d472b9a1 | 522 | #ifdef PY2 |
d7ab1bab | 523 | BASEOP(oct, 8, "0"); |
d472b9a1 | 524 | #endif |
d7ab1bab | 525 | BASEOP(hex, 16, "0x"); |
526 | #undef BASEOP | |
527 | ||
528 | static int mp_pynonzerop(PyObject *x) { return !MP_ZEROP(MP_X(x)); } | |
529 | ||
530 | static PyObject *mp_pyint(PyObject *x) | |
531 | { | |
532 | long l; | |
bc243788 MW |
533 | if (!mp_tolong_checked(MP_X(x), &l, 0)) return (PyInt_FromLong(l)); |
534 | else return mp_topylong(MP_X(x)); | |
d7ab1bab | 535 | } |
d472b9a1 | 536 | #ifdef PY2 |
d7ab1bab | 537 | static PyObject *mp_pylong(PyObject *x) |
f368b46e | 538 | { return (mp_topylong(MP_X(x))); } |
d472b9a1 | 539 | #endif |
d7ab1bab | 540 | static PyObject *mp_pyfloat(PyObject *x) |
541 | { | |
f368b46e | 542 | PyObject *l = mp_topylong(MP_X(x)); |
d7ab1bab | 543 | double f = PyLong_AsDouble(l); |
544 | Py_DECREF(l); | |
545 | return (PyFloat_FromDouble(f)); | |
546 | } | |
547 | ||
d472b9a1 | 548 | #ifdef PY2 |
b2687a0a | 549 | #define COERCE(pre, PRE) \ |
d7ab1bab | 550 | static int pre##_pycoerce(PyObject **x, PyObject **y) \ |
551 | { \ | |
552 | mp *z; \ | |
553 | \ | |
554 | if (PRE##_PYCHECK(*y)) { \ | |
555 | Py_INCREF(*x); Py_INCREF(*y); \ | |
556 | return (0); \ | |
557 | } \ | |
a70a5a80 | 558 | if ((z = implicit##pre(*y)) != 0) { \ |
d7ab1bab | 559 | Py_INCREF(*x); \ |
560 | *y = pre##_pywrap(z); \ | |
561 | return (0); \ | |
562 | } \ | |
563 | return (1); \ | |
564 | } | |
565 | COERCE(mp, MP) | |
566 | COERCE(gf, GF) | |
567 | #undef COERCE | |
d472b9a1 | 568 | #endif |
d7ab1bab | 569 | |
1810cc51 MW |
570 | static PyObject *mp_pyrichcompare(PyObject *x, PyObject *y, int op) |
571 | { | |
572 | mp *xx, *yy; | |
573 | PyObject *l, *rc; | |
574 | if (PyFloat_Check(y)) { | |
575 | l = mp_topylong(MP_X(x)); rc = PyObject_RichCompare(l, y, op); | |
576 | Py_DECREF(l); return (rc); | |
577 | } | |
578 | if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; | |
579 | rc = enrich_compare(op, mp_cmp(xx, yy)); | |
580 | MP_DROP(xx); MP_DROP(yy); | |
581 | return (rc); | |
582 | } | |
583 | ||
d472b9a1 | 584 | #ifdef PY2 |
d7ab1bab | 585 | static int mp_pycompare(PyObject *x, PyObject *y) |
586 | { return mp_cmp(MP_X(x), MP_X(y)); } | |
d472b9a1 | 587 | #endif |
d7ab1bab | 588 | |
589 | static PyObject *mp_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
590 | { | |
591 | PyObject *x; | |
592 | mp *z; | |
593 | mp_pyobj *zz = 0; | |
594 | int radix = 0; | |
827f89d7 | 595 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 596 | |
827f89d7 | 597 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", KWLIST, &x, &radix)) |
d7ab1bab | 598 | goto end; |
599 | if (MP_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 600 | if (!good_radix_p(radix, 1)) VALERR("bad radix"); |
d7ab1bab | 601 | if ((z = mp_frompyobject(x, radix)) == 0) { |
602 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp", | |
f984b31a | 603 | Py_TYPE(x)->tp_name); |
d7ab1bab | 604 | goto end; |
605 | } | |
606 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
607 | zz->x = z; | |
608 | end: | |
609 | return ((PyObject *)zz); | |
610 | } | |
611 | ||
1e8aaf8b MW |
612 | #define IMPLICIT(pre) \ |
613 | static PyObject *pre##meth__implicit(PyObject *me, PyObject *arg) \ | |
614 | { \ | |
615 | PyObject *x, *rc = 0; \ | |
616 | mp *y = MP_NEW; \ | |
617 | if (!PyArg_ParseTuple(arg, "O:_implicit", &x)) goto end; \ | |
618 | y = implicit##pre(x); \ | |
619 | if (!y) TYERR("can't convert implicitly to " #pre); \ | |
620 | rc = pre##_pywrap(y); \ | |
621 | end: \ | |
622 | return (rc); \ | |
623 | } | |
624 | IMPLICIT(mp) | |
625 | IMPLICIT(gf) | |
626 | #undef IMPLICIT | |
627 | ||
620169ae | 628 | Py_hash_t mphash(mp *x) |
d7ab1bab | 629 | { |
be6df1c3 | 630 | PyObject *l = mp_topylong(x); |
620169ae | 631 | Py_hash_t h = PyObject_Hash(l); |
f368b46e | 632 | Py_DECREF(l); return (h); |
d7ab1bab | 633 | } |
634 | ||
620169ae | 635 | static Py_hash_t mp_pyhash(PyObject *me) { return (mphash(MP_X(me))); } |
be6df1c3 | 636 | |
d7ab1bab | 637 | static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg) |
638 | { | |
639 | mp *y = 0; | |
640 | PyObject *z = 0; | |
641 | ||
642 | if (!PyArg_ParseTuple(arg, "O&:jacobi", convmp, &y)) goto end; | |
643 | z = PyInt_FromLong(mp_jacobi(y, MP_X(me))); | |
644 | end: | |
645 | if (y) MP_DROP(y); | |
646 | return (z); | |
647 | } | |
648 | ||
649 | #define BITOP(pre, name, c) \ | |
650 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
651 | { \ | |
a1be89ad MW |
652 | unsigned long i; \ |
653 | if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \ | |
d7ab1bab | 654 | return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \ |
655 | } | |
656 | BITOP(mp, setbit, 2c); | |
657 | BITOP(mp, clearbit, 2c); | |
b2687a0a | 658 | BITOP(gf, setbit, ); |
d7ab1bab | 659 | BITOP(gf, clearbit, ); |
660 | #undef BITOP | |
661 | ||
662 | static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg) | |
663 | { | |
a1be89ad MW |
664 | unsigned long i; |
665 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 666 | return (getbool(mp_testbit2c(MP_X(me), i))); |
667 | } | |
668 | ||
669 | static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg) | |
670 | { | |
a1be89ad MW |
671 | unsigned long i; |
672 | if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0); | |
d7ab1bab | 673 | return (getbool(mp_testbit(MP_X(me), i))); |
674 | } | |
675 | ||
7a75bb76 | 676 | static PyObject *mpmeth_odd(PyObject *me) |
d7ab1bab | 677 | { |
678 | mp *t; | |
679 | size_t s; | |
680 | ||
d7ab1bab | 681 | t = mp_odd(MP_NEW, MP_X(me), &s); |
682 | return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t))); | |
683 | } | |
684 | ||
7a75bb76 MW |
685 | static PyObject *mpmeth_sqr(PyObject *me) |
686 | { return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me)))); } | |
d7ab1bab | 687 | |
7a75bb76 | 688 | static PyObject *mpmeth_sqrt(PyObject *me) |
d7ab1bab | 689 | { |
d7ab1bab | 690 | if (MP_NEGP(MP_X(me))) VALERR("negative root"); |
691 | return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me)))); | |
692 | end: | |
693 | return (0); | |
694 | } | |
695 | ||
696 | static PyObject *mpmeth_gcd(PyObject *me, PyObject *arg) | |
697 | { | |
698 | mp *y = 0, *zz = MP_NEW; | |
699 | PyObject *z = 0; | |
700 | ||
701 | if (!PyArg_ParseTuple(arg, "O&:gcd", convmp, &y)) goto end; | |
702 | mp_gcd(&zz, 0, 0, MP_X(me), y); | |
703 | z = mp_pywrap(zz); | |
704 | end: | |
705 | if (y) MP_DROP(y); | |
706 | return (z); | |
707 | } | |
708 | ||
709 | static PyObject *mpmeth_gcdx(PyObject *me, PyObject *arg) | |
710 | { | |
711 | PyObject *z = 0; | |
712 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
713 | ||
714 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convmp, &yy)) goto end; | |
715 | mp_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
716 | z = Py_BuildValue("(NNN)", | |
717 | mp_pywrap(zz), mp_pywrap(uu), mp_pywrap(vv)); | |
718 | end: | |
719 | if (yy) MP_DROP(yy); | |
720 | return (z); | |
721 | } | |
722 | ||
723 | static PyObject *mpmeth_modinv(PyObject *me, PyObject *arg) | |
724 | { | |
725 | PyObject *z = 0; | |
726 | mp *yy = 0, *zz = MP_NEW; | |
727 | ||
728 | if (!PyArg_ParseTuple(arg, "O&:modinv", convmp, &yy) || | |
729 | (zz = mp_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
730 | goto end; | |
731 | z = mp_pywrap(zz); | |
732 | end: | |
733 | if (yy) MP_DROP(yy); | |
734 | return (z); | |
735 | } | |
736 | ||
737 | static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw) | |
738 | { | |
739 | int radix = 10; | |
827f89d7 MW |
740 | static const char *const kwlist[] = { "radix", 0 }; |
741 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", KWLIST, &radix)) | |
d7ab1bab | 742 | goto end; |
f368b46e | 743 | if (!good_radix_p(radix, 0)) VALERR("bad radix"); |
d7ab1bab | 744 | return (mp_topystring(MP_X(me), radix, 0, 0, 0)); |
745 | end: | |
746 | return (0); | |
747 | } | |
748 | ||
749 | static PyObject *mpmeth_modsqrt(PyObject *me, PyObject *arg) | |
750 | { | |
751 | PyObject *z = 0; | |
752 | mp *yy = 0, *zz = MP_NEW; | |
753 | ||
754 | if (!PyArg_ParseTuple(arg, "O&:modsqrt", convmp, &yy)) goto end; | |
755 | if ((zz = mp_modsqrt(MP_NEW, yy, MP_X(me))) == 0) | |
756 | VALERR("no modular square root"); | |
757 | z = mp_pywrap(zz); | |
758 | end: | |
759 | if (yy) MP_DROP(yy); | |
760 | return (z); | |
761 | } | |
762 | ||
d0d94587 MW |
763 | static PyObject *mpmeth_leastcongruent(PyObject *me, PyObject *arg) |
764 | { | |
765 | mp *z, *b, *m; | |
766 | PyObject *rc = 0; | |
767 | ||
768 | if (!PyArg_ParseTuple(arg, "O&O&:leastcongruent", convmp, &b, convmp, &m)) | |
769 | goto end; | |
770 | z = mp_leastcongruent(MP_NEW, b, MP_X(me), m); | |
771 | rc = mp_pywrap(z); | |
772 | end: | |
773 | return (rc); | |
774 | } | |
775 | ||
d7ab1bab | 776 | #define STOREOP(name, c) \ |
777 | static PyObject *mpmeth_##name(PyObject *me, \ | |
778 | PyObject *arg, PyObject *kw) \ | |
779 | { \ | |
780 | long len = -1; \ | |
f927b002 | 781 | static const char *const kwlist[] = { "len", 0 }; \ |
d7ab1bab | 782 | PyObject *rc = 0; \ |
783 | \ | |
784 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \ | |
827f89d7 | 785 | KWLIST, &len)) \ |
d7ab1bab | 786 | goto end; \ |
787 | if (len < 0) { \ | |
788 | len = mp_octets##c(MP_X(me)); \ | |
789 | if (!len) len = 1; \ | |
790 | } \ | |
791 | rc = bytestring_pywrap(0, len); \ | |
cfb291f0 | 792 | mp_##name(MP_X(me), BIN_PTR(rc), len); \ |
d7ab1bab | 793 | end: \ |
794 | return (rc); \ | |
795 | } | |
796 | STOREOP(storel, ) | |
797 | STOREOP(storeb, ) | |
798 | STOREOP(storel2c, 2c) | |
799 | STOREOP(storeb2c, 2c) | |
800 | #undef STOREOP | |
801 | ||
b16009b0 MW |
802 | #define BUFOP(ty) \ |
803 | static PyObject *ty##meth_frombuf(PyObject *me, PyObject *arg) \ | |
d7ab1bab | 804 | { \ |
805 | buf b; \ | |
be17c8c2 | 806 | struct bin in; \ |
d7ab1bab | 807 | PyObject *rc = 0; \ |
808 | mp *x; \ | |
809 | \ | |
be17c8c2 MW |
810 | if (!PyArg_ParseTuple(arg, "O&:frombuf", convbin, &in)) goto end; \ |
811 | buf_init(&b, (/*unconst*/ void *)in.p, in.sz); \ | |
d7ab1bab | 812 | if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \ |
813 | rc = Py_BuildValue("(NN)", ty##_pywrap(x), \ | |
814 | bytestring_pywrapbuf(&b)); \ | |
815 | end: \ | |
816 | return (rc); \ | |
817 | } | |
b16009b0 MW |
818 | BUFOP(mp) |
819 | BUFOP(gf) | |
d7ab1bab | 820 | #undef BUFOP |
821 | ||
7a75bb76 | 822 | static PyObject *mpmeth_tobuf(PyObject *me) |
d7ab1bab | 823 | { |
824 | buf b; | |
825 | PyObject *rc; | |
826 | mp *x; | |
827 | size_t n; | |
828 | ||
d7ab1bab | 829 | x = MP_X(me); |
830 | n = mp_octets(x) + 3; | |
831 | rc = bytestring_pywrap(0, n); | |
cfb291f0 | 832 | buf_init(&b, BIN_PTR(rc), n); |
d7ab1bab | 833 | buf_putmp(&b, x); |
834 | assert(BOK(&b)); | |
cfb291f0 | 835 | BIN_SETLEN(rc, BLEN(&b)); |
d7ab1bab | 836 | return (rc); |
837 | } | |
838 | ||
839 | static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw) | |
840 | { | |
841 | grand *r = &rand_global; | |
827f89d7 | 842 | static const char *const kwlist[] = { "rng", 0 }; |
d7ab1bab | 843 | PyObject *rc = 0; |
844 | ||
827f89d7 | 845 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", KWLIST, convgrand, &r)) |
d7ab1bab | 846 | goto end; |
847 | rc = getbool(pgen_primep(MP_X(me), r)); | |
848 | end: | |
849 | return (rc); | |
850 | } | |
851 | ||
b16009b0 MW |
852 | static PyObject *mpmeth_fromstring(PyObject *me, |
853 | PyObject *arg, PyObject *kw) | |
27cbcf9d MW |
854 | { |
855 | int r = 0; | |
856 | char *p; | |
857 | Py_ssize_t len; | |
858 | PyObject *z = 0; | |
859 | mp *zz; | |
860 | mptext_stringctx sc; | |
b16009b0 | 861 | static const char *const kwlist[] = { "x", "radix", 0 }; |
27cbcf9d | 862 | |
b16009b0 MW |
863 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST, |
864 | &p, &len, &r)) | |
27cbcf9d MW |
865 | goto end; |
866 | if (!good_radix_p(r, 1)) VALERR("bad radix"); | |
867 | sc.buf = p; sc.lim = p + len; | |
868 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0) | |
869 | VALERR("bad integer"); | |
870 | z = Py_BuildValue("(Ns#)", mp_pywrap(zz), | |
871 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
872 | end: | |
873 | return (z); | |
874 | } | |
875 | ||
b16009b0 | 876 | static PyObject *mpmeth_factorial(PyObject *me, PyObject *arg) |
27cbcf9d MW |
877 | { |
878 | unsigned long i; | |
879 | mp *x; | |
b16009b0 | 880 | if (!PyArg_ParseTuple(arg, "O&:factorial", convulong, &i)) return (0); |
27cbcf9d MW |
881 | x = mp_factorial(i); |
882 | return mp_pywrap(x); | |
883 | } | |
884 | ||
b16009b0 | 885 | static PyObject *mpmeth_fibonacci(PyObject *me, PyObject *arg) |
27cbcf9d MW |
886 | { |
887 | long i; | |
888 | mp *x; | |
b16009b0 | 889 | if (!PyArg_ParseTuple(arg, "l:fibonacci", &i)) return (0); |
27cbcf9d MW |
890 | x = mp_fibonacci(i); |
891 | return mp_pywrap(x); | |
892 | } | |
893 | ||
b16009b0 MW |
894 | #define LOADOP(pre, name) \ |
895 | static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \ | |
27cbcf9d | 896 | { \ |
be17c8c2 MW |
897 | struct bin in; \ |
898 | if (!PyArg_ParseTuple(arg, "O&:" #name, convbin, &in)) return (0); \ | |
899 | return (pre##_pywrap(mp_##name(MP_NEW, in.p, in.sz))); \ | |
27cbcf9d | 900 | } |
b16009b0 MW |
901 | LOADOP(mp, loadl) |
902 | LOADOP(mp, loadb) | |
903 | LOADOP(mp, loadl2c) | |
904 | LOADOP(mp, loadb2c) | |
905 | LOADOP(gf, loadl) | |
906 | LOADOP(gf, loadb) | |
27cbcf9d MW |
907 | #undef LOADOP |
908 | ||
d7ab1bab | 909 | static PyObject *mpget_nbits(PyObject *me, void *hunoz) |
910 | { return (PyInt_FromLong(mp_bits(MP_X(me)))); } | |
911 | ||
912 | static PyObject *mpget_noctets(PyObject *me, void *hunoz) | |
913 | { return (PyInt_FromLong(mp_octets(MP_X(me)))); } | |
914 | ||
915 | static PyObject *mpget_noctets2c(PyObject *me, void *hunoz) | |
916 | { return (PyInt_FromLong(mp_octets2c(MP_X(me)))); } | |
917 | ||
637b9140 | 918 | static const PyGetSetDef mp_pygetset[] = { |
d7ab1bab | 919 | #define GETSETNAME(op, func) mp##op##_##func |
920 | GET (nbits, "X.nbits -> bit length of X") | |
921 | GET (noctets, "X.noctets -> octet length of X") | |
922 | GET (noctets2c, "X.noctets2c -> two's complement octet length of X") | |
923 | #undef GETSETNAME | |
924 | { 0 } | |
925 | }; | |
926 | ||
637b9140 | 927 | static const PyMethodDef mp_pymethods[] = { |
d7ab1bab | 928 | #define METHNAME(func) mpmeth_##func |
c3060669 | 929 | METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)") |
d7ab1bab | 930 | METH (setbit, "X.setbit(N) -> X with bit N set") |
931 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
932 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
7a75bb76 MW |
933 | NAMETH(odd, "X.odd() -> S, T where X = 2^S T with T odd") |
934 | NAMETH(sqr, "X.sqr() -> X^2") | |
935 | NAMETH(sqrt, "X.sqrt() -> largest integer <= sqrt(X)") | |
d7ab1bab | 936 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") |
ef783f91 MW |
937 | METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) " |
938 | "with X U + Y V = gcd(X, Y)") | |
d7ab1bab | 939 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
940 | METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime") | |
ef783f91 MW |
941 | METH (leastcongruent, "X.leastcongruent(B, M) -> " |
942 | "smallest Z >= B with Z == X (mod M)") | |
f3f76093 | 943 | KWMETH(primep, "X.primep([rng = rand]) -> X is prime?") |
1df8d5fe MW |
944 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
945 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
946 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
ef783f91 MW |
947 | KWMETH(storel2c, "X.storel2c([len = -1]) -> " |
948 | "little-endian bytes, two's complement") | |
949 | KWMETH(storeb2c, "X.storeb2c([len = -1]) -> " | |
950 | "big-endian bytes, two's complement") | |
7a75bb76 | 951 | NAMETH(tobuf, "X.tobuf() -> buffer format") |
b16009b0 MW |
952 | KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n" |
953 | " Parse STR as a large integer, according to RADIX. If RADIX is\n" | |
954 | " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n" | |
955 | " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.") | |
1e8aaf8b | 956 | SMTH (_implicit, 0) |
b16009b0 MW |
957 | SMTH (factorial, "factorial(I) -> I!: compute factorial") |
958 | SMTH (fibonacci, "fibonacci(I) -> F(I): compute Fibonacci number") | |
959 | SMTH (loadl, "loadl(STR) -> X: read little-endian bytes") | |
960 | SMTH (loadb, "loadb(STR) -> X: read big-endian bytes") | |
961 | SMTH (loadl2c, "loadl2c(STR) -> X: " | |
962 | "read little-endian bytes, two's complement") | |
963 | SMTH (loadb2c, "loadb2c(STR) -> X: " | |
964 | "read big-endian bytes, two's complement") | |
965 | SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 966 | #undef METHNAME |
967 | { 0 } | |
968 | }; | |
969 | ||
637b9140 | 970 | static const PyNumberMethods mp_pynumber = { |
d7ab1bab | 971 | mp_pyadd, /* @nb_add@ */ |
972 | mp_pysub, /* @nb_subtract@ */ | |
973 | mp_pymul, /* @nb_multiply@ */ | |
d472b9a1 | 974 | #ifdef PY2 |
d7ab1bab | 975 | 0, /* @nb_divide@ */ |
d472b9a1 | 976 | #endif |
d7ab1bab | 977 | mp_pymod, /* @nb_remainder@ */ |
978 | mp_pydivmod, /* @nb_divmod@ */ | |
979 | mp_pyexp, /* @nb_power@ */ | |
980 | mp_pyneg, /* @nb_negative@ */ | |
981 | mp_pyid, /* @nb_positive@ */ | |
982 | mp_pyabs, /* @nb_absolute@ */ | |
983 | mp_pynonzerop, /* @nb_nonzero@ */ | |
984 | mp_pynot2c, /* @nb_invert@ */ | |
985 | mp_pylsl2c, /* @nb_lshift@ */ | |
986 | mp_pylsr2c, /* @nb_rshift@ */ | |
987 | mp_pyand2c, /* @nb_and@ */ | |
988 | mp_pyxor2c, /* @nb_xor@ */ | |
989 | mp_pyor2c, /* @nb_or@ */ | |
d472b9a1 | 990 | #ifdef PY2 |
d7ab1bab | 991 | mp_pycoerce, /* @nb_coerce@ */ |
d472b9a1 | 992 | #endif |
d7ab1bab | 993 | mp_pyint, /* @nb_int@ */ |
d472b9a1 | 994 | PY23(mp_pylong, 0), /* @nb_long@ */ |
d7ab1bab | 995 | mp_pyfloat, /* @nb_float@ */ |
d472b9a1 | 996 | #ifdef PY2 |
d7ab1bab | 997 | mp_pyoct, /* @nb_oct@ */ |
998 | mp_pyhex, /* @nb_hex@ */ | |
d472b9a1 | 999 | #endif |
d7ab1bab | 1000 | |
1001 | 0, /* @nb_inplace_add@ */ | |
1002 | 0, /* @nb_inplace_subtract@ */ | |
1003 | 0, /* @nb_inplace_multiply@ */ | |
d472b9a1 | 1004 | #ifdef PY2 |
d7ab1bab | 1005 | 0, /* @nb_inplace_divide@ */ |
d472b9a1 | 1006 | #endif |
d7ab1bab | 1007 | 0, /* @nb_inplace_remainder@ */ |
1008 | 0, /* @nb_inplace_power@ */ | |
1009 | 0, /* @nb_inplace_lshift@ */ | |
1010 | 0, /* @nb_inplace_rshift@ */ | |
1011 | 0, /* @nb_inplace_and@ */ | |
1012 | 0, /* @nb_inplace_xor@ */ | |
1013 | 0, /* @nb_inplace_or@ */ | |
1014 | ||
1015 | mp_pydiv, /* @nb_floor_divide@ */ | |
1016 | 0, /* @nb_true_divide@ */ | |
1017 | 0, /* @nb_inplace_floor_divide@ */ | |
1018 | 0, /* @nb_inplace_true_divide@ */ | |
8aafc119 MW |
1019 | |
1020 | mp_pyint, /* @nb_index@ */ | |
d7ab1bab | 1021 | }; |
1022 | ||
ddd4720b | 1023 | static const PyTypeObject mp_pytype_skel = { |
4648f560 | 1024 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1025 | "MP", /* @tp_name@ */ |
d7ab1bab | 1026 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
1027 | 0, /* @tp_itemsize@ */ | |
1028 | ||
1029 | mp_pydealloc, /* @tp_dealloc@ */ | |
1030 | 0, /* @tp_print@ */ | |
1031 | 0, /* @tp_getattr@ */ | |
1032 | 0, /* @tp_setattr@ */ | |
d472b9a1 | 1033 | PY23(mp_pycompare, 0), /* @tp_compare@/@tp_as_async@ */ |
d7ab1bab | 1034 | mp_pyrepr, /* @tp_repr@ */ |
637b9140 | 1035 | PYNUMBER(mp), /* @tp_as_number@ */ |
d7ab1bab | 1036 | 0, /* @tp_as_sequence@ */ |
1037 | 0, /* @tp_as_mapping@ */ | |
1038 | mp_pyhash, /* @tp_hash@ */ | |
1039 | 0, /* @tp_call@ */ | |
1040 | mp_pystr, /* @tp_str@ */ | |
1041 | 0, /* @tp_getattro@ */ | |
1042 | 0, /* @tp_setattro@ */ | |
1043 | 0, /* @tp_as_buffer@ */ | |
1044 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1045 | Py_TPFLAGS_CHECKTYPES | | |
1046 | Py_TPFLAGS_BASETYPE, | |
1047 | ||
1048 | /* @tp_doc@ */ | |
ef783f91 MW |
1049 | "Multiprecision integers, similar to `long' but more efficient and\n" |
1050 | "versatile. Support all the standard arithmetic operations, with\n" | |
1051 | "implicit conversions from `PrimeFilter', and other objects which\n" | |
d472b9a1 | 1052 | "convert to `" PY23("long", "int") "'.\n" |
ef783f91 MW |
1053 | "\n" |
1054 | "Constructor MP(X, [radix = R]) attempts to convert X to an `MP'. If\n" | |
1055 | "X is a string, it's read in radix-R form, or we look for a prefix\n" | |
1056 | "if R = 0. Other acceptable things are field elements, elliptic curve\n" | |
d472b9a1 | 1057 | PY23( |
ef783f91 | 1058 | "points, group elements, Python `int' and `long' objects, and anything\n" |
d472b9a1 MW |
1059 | "with an integer conversion.\n", |
1060 | "points, group elements, Python `int' objects, and anything with an\n" | |
1061 | "integer conversion.\n") | |
ef783f91 MW |
1062 | "\n" |
1063 | "Notes:\n" | |
1064 | "\n" | |
1065 | " * Use `//' for integer division: `/' gives exact rational division.", | |
d7ab1bab | 1066 | |
1067 | 0, /* @tp_traverse@ */ | |
1068 | 0, /* @tp_clear@ */ | |
1810cc51 | 1069 | mp_pyrichcompare, /* @tp_richcompare@ */ |
d7ab1bab | 1070 | 0, /* @tp_weaklistoffset@ */ |
1071 | 0, /* @tp_iter@ */ | |
963a6148 | 1072 | 0, /* @tp_iternext@ */ |
637b9140 | 1073 | PYMETHODS(mp), /* @tp_methods@ */ |
d7ab1bab | 1074 | 0, /* @tp_members@ */ |
637b9140 | 1075 | PYGETSET(mp), /* @tp_getset@ */ |
d7ab1bab | 1076 | 0, /* @tp_base@ */ |
1077 | 0, /* @tp_dict@ */ | |
1078 | 0, /* @tp_descr_get@ */ | |
1079 | 0, /* @tp_descr_set@ */ | |
1080 | 0, /* @tp_dictoffset@ */ | |
1081 | 0, /* @tp_init@ */ | |
1082 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1083 | mp_pynew, /* @tp_new@ */ | |
3aa33042 | 1084 | 0, /* @tp_free@ */ |
d7ab1bab | 1085 | 0 /* @tp_is_gc@ */ |
1086 | }; | |
1087 | ||
32507e35 MW |
1088 | /*----- Products of small integers ----------------------------------------*/ |
1089 | ||
ddd4720b MW |
1090 | static PyTypeObject *mpmul_pytype; |
1091 | ||
32507e35 MW |
1092 | typedef struct mpmul_pyobj { |
1093 | PyObject_HEAD | |
1094 | int livep; | |
1095 | mpmul mm; | |
1096 | } mpmul_pyobj; | |
1097 | ||
1098 | #define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep) | |
1099 | #define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm) | |
1100 | ||
1101 | static void mpmul_pydealloc(PyObject *me) | |
1102 | { | |
1103 | if (MPMUL_LIVEP(me)) | |
1104 | mp_drop(mpmul_done(MPMUL_PY(me))); | |
1105 | FREEOBJ(me); | |
1106 | } | |
1107 | ||
1108 | static PyObject *mmmeth_factor(PyObject *me, PyObject *arg) | |
d7ab1bab | 1109 | { |
d7ab1bab | 1110 | PyObject *q, *i; |
1111 | mp *x; | |
1112 | ||
32507e35 | 1113 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
8dd6ebb3 | 1114 | if (PyTuple_GET_SIZE(arg) != 1) |
d7ab1bab | 1115 | i = PyObject_GetIter(arg); |
32507e35 | 1116 | else { |
8dd6ebb3 | 1117 | if ((q = PyTuple_GET_ITEM(arg, 0)) == 0) goto end; |
d7ab1bab | 1118 | if ((i = PyObject_GetIter(q)) == 0) { |
1119 | PyErr_Clear(); /* that's ok */ | |
1120 | i = PyObject_GetIter(arg); | |
1121 | } | |
1122 | } | |
32507e35 | 1123 | if (!i) goto end; |
d7ab1bab | 1124 | while ((q = PyIter_Next(i)) != 0) { |
1125 | x = getmp(q); Py_DECREF(q); if (!x) { | |
d7ab1bab | 1126 | Py_DECREF(i); |
32507e35 | 1127 | goto end; |
d7ab1bab | 1128 | } |
32507e35 | 1129 | mpmul_add(MPMUL_PY(me), x); |
d7ab1bab | 1130 | MP_DROP(x); |
1131 | } | |
d7ab1bab | 1132 | Py_DECREF(i); |
32507e35 MW |
1133 | RETURN_ME; |
1134 | end: | |
1135 | return (0); | |
1136 | } | |
1137 | ||
7a75bb76 | 1138 | static PyObject *mmmeth_done(PyObject *me) |
32507e35 MW |
1139 | { |
1140 | mp *x; | |
1141 | ||
32507e35 MW |
1142 | if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid"); |
1143 | x = mpmul_done(MPMUL_PY(me)); | |
1144 | MPMUL_LIVEP(me) = 0; | |
d7ab1bab | 1145 | return (mp_pywrap(x)); |
32507e35 MW |
1146 | end: |
1147 | return (0); | |
d7ab1bab | 1148 | } |
1149 | ||
32507e35 MW |
1150 | static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) |
1151 | { | |
1152 | mpmul_pyobj *mm; | |
1153 | ||
1154 | if (kw) TYERR("keyword arguments not allowed here"); | |
1155 | mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0); | |
1156 | mpmul_init(&mm->mm); | |
1157 | mm->livep = 1; | |
1158 | if (mmmeth_factor((PyObject *)mm, arg) == 0) { | |
1159 | Py_DECREF(mm); | |
1160 | goto end; | |
d7ab1bab | 1161 | } |
32507e35 MW |
1162 | return ((PyObject *)mm); |
1163 | end: | |
1164 | return (0); | |
1165 | } | |
1166 | ||
1167 | static PyObject *mmget_livep(PyObject *me, void *hunoz) | |
1168 | { return (getbool(MPMUL_LIVEP(me))); } | |
1169 | ||
637b9140 | 1170 | static const PyGetSetDef mpmul_pygetset[] = { |
32507e35 | 1171 | #define GETSETNAME(op, name) mm##op##_##name |
ef783f91 | 1172 | GET (livep, "MM.livep -> flag: object still valid?") |
32507e35 MW |
1173 | #undef GETSETNAME |
1174 | { 0 } | |
1175 | }; | |
1176 | ||
637b9140 | 1177 | static const PyMethodDef mpmul_pymethods[] = { |
32507e35 | 1178 | #define METHNAME(name) mmmeth_##name |
ef783f91 | 1179 | METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)") |
7a75bb76 | 1180 | NAMETH(done, "MM.done() -> PRODUCT") |
32507e35 MW |
1181 | #undef METHNAME |
1182 | { 0 } | |
1183 | }; | |
1184 | ||
ddd4720b | 1185 | static const PyTypeObject mpmul_pytype_skel = { |
4648f560 | 1186 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1187 | "MPMul", /* @tp_name@ */ |
32507e35 MW |
1188 | sizeof(mpmul_pyobj), /* @tp_basicsize@ */ |
1189 | 0, /* @tp_itemsize@ */ | |
1190 | ||
1191 | mpmul_pydealloc, /* @tp_dealloc@ */ | |
1192 | 0, /* @tp_print@ */ | |
1193 | 0, /* @tp_getattr@ */ | |
1194 | 0, /* @tp_setattr@ */ | |
1195 | 0, /* @tp_compare@ */ | |
1196 | 0, /* @tp_repr@ */ | |
1197 | 0, /* @tp_as_number@ */ | |
1198 | 0, /* @tp_as_sequence@ */ | |
1199 | 0, /* @tp_as_mapping@ */ | |
1200 | 0, /* @tp_hash@ */ | |
1201 | 0, /* @tp_call@ */ | |
1202 | 0, /* @tp_str@ */ | |
1203 | 0, /* @tp_getattro@ */ | |
1204 | 0, /* @tp_setattro@ */ | |
1205 | 0, /* @tp_as_buffer@ */ | |
1206 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1207 | Py_TPFLAGS_BASETYPE, | |
1208 | ||
1209 | /* @tp_doc@ */ | |
ef783f91 | 1210 | "MPMul(N_0, N_1, ....): an object for multiplying many small integers.", |
32507e35 MW |
1211 | |
1212 | 0, /* @tp_traverse@ */ | |
1213 | 0, /* @tp_clear@ */ | |
1214 | 0, /* @tp_richcompare@ */ | |
1215 | 0, /* @tp_weaklistoffset@ */ | |
1216 | 0, /* @tp_iter@ */ | |
1217 | 0, /* @tp_iternext@ */ | |
637b9140 | 1218 | PYMETHODS(mpmul), /* @tp_methods@ */ |
32507e35 | 1219 | 0, /* @tp_members@ */ |
637b9140 | 1220 | PYGETSET(mpmul), /* @tp_getset@ */ |
32507e35 MW |
1221 | 0, /* @tp_base@ */ |
1222 | 0, /* @tp_dict@ */ | |
1223 | 0, /* @tp_descr_get@ */ | |
1224 | 0, /* @tp_descr_set@ */ | |
1225 | 0, /* @tp_dictoffset@ */ | |
1226 | 0, /* @tp_init@ */ | |
1227 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1228 | mpmul_pynew, /* @tp_new@ */ | |
1229 | 0, /* @tp_free@ */ | |
1230 | 0 /* @tp_is_gc@ */ | |
1231 | }; | |
d7ab1bab | 1232 | |
1233 | /*----- Montgomery reduction ----------------------------------------------*/ | |
1234 | ||
ddd4720b MW |
1235 | static PyTypeObject *mpmont_pytype; |
1236 | ||
d7ab1bab | 1237 | typedef struct mpmont_pyobj { |
1238 | PyObject_HEAD | |
1239 | mpmont mm; | |
1240 | } mpmont_pyobj; | |
1241 | ||
1242 | #define MPMONT_PY(o) (&((mpmont_pyobj *)(o))->mm) | |
1243 | ||
1244 | static PyObject *mmmeth_int(PyObject *me, PyObject *arg) | |
1245 | { | |
1246 | PyObject *z = 0; | |
1247 | mp *yy = 0; | |
1248 | mpmont *mm = MPMONT_PY(me); | |
1249 | ||
1250 | if (!PyArg_ParseTuple(arg, "O&:in", convmp, &yy)) | |
1251 | goto end; | |
1252 | mp_div(0, &yy, yy, mm->m); | |
1253 | z = mp_pywrap(mpmont_mul(mm, MP_NEW, yy, mm->r2)); | |
1254 | end: | |
1255 | if (yy) MP_DROP(yy); | |
1256 | return (z); | |
1257 | } | |
1258 | ||
1259 | static PyObject *mmmeth_mul(PyObject *me, PyObject *arg) | |
1260 | { | |
1261 | PyObject *rc = 0; | |
1262 | mp *yy = 0, *zz = 0; | |
1263 | ||
1264 | if (!PyArg_ParseTuple(arg, "O&O&:mul", convmp, &yy, convmp, &zz)) | |
1265 | goto end; | |
1266 | rc = mp_pywrap(mpmont_mul(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1267 | end: | |
1268 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1269 | return (rc); | |
1270 | } | |
1271 | ||
1272 | static PyObject *mmmeth_exp(PyObject *me, PyObject *arg) | |
1273 | { | |
1274 | PyObject *rc = 0; | |
1275 | mp *yy = 0, *zz = 0; | |
1276 | ||
1277 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1278 | goto end; | |
1279 | if (MP_NEGP(zz)) { | |
1280 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1281 | zz = mp_neg(zz, zz); | |
1282 | } | |
1283 | rc = mp_pywrap(mpmont_exp(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1284 | end: | |
1285 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1286 | return (rc); | |
1287 | } | |
1288 | ||
1289 | static PyObject *mmmeth_expr(PyObject *me, PyObject *arg) | |
1290 | { | |
1291 | PyObject *rc = 0; | |
1292 | mp *yy = 0, *zz = 0; | |
1293 | ||
1294 | if (!PyArg_ParseTuple(arg, "O&O&:expr", convmp, &yy, convmp, &zz)) | |
1295 | goto end; | |
1296 | if (MP_NEGP(zz)) { | |
1297 | yy = mpmont_reduce(MPMONT_PY(me), yy, yy); | |
1298 | if ((yy = mp_modinv_checked(yy, yy, MPMONT_PY(me)->m)) == 0) goto end; | |
1299 | yy = mpmont_mul(MPMONT_PY(me), yy, yy, MPMONT_PY(me)->r2); | |
1300 | zz = mp_neg(zz, zz); | |
1301 | } | |
1302 | rc = mp_pywrap(mpmont_expr(MPMONT_PY(me), MP_NEW, yy, zz)); | |
1303 | end: | |
1304 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1305 | return (rc); | |
1306 | } | |
1307 | ||
1308 | static PyObject *mm_mexpr_id(PyObject *me) | |
1309 | { return mp_pywrap(MP_COPY(MPMONT_PY(me)->r)); } | |
1310 | ||
1311 | static int mm_mexpr_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1312 | { | |
1313 | mp *xx = 0, *yy = 0; | |
1314 | mp_expfactor *f = p; | |
1315 | mpmont *mm = MPMONT_PY(me); | |
1316 | ||
1317 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1318 | goto fail; | |
1319 | if (MP_NEGP(yy)) { | |
1320 | xx = mpmont_reduce(mm, xx, xx); | |
1321 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1322 | goto fail; | |
1323 | xx = mpmont_mul(mm, xx, xx, mm->r2); | |
1324 | yy = mp_neg(yy, yy); | |
1325 | } | |
1326 | f->base = xx; | |
1327 | f->exp = yy; | |
1328 | return (0); | |
1329 | ||
1330 | fail: | |
1331 | mp_drop(xx); mp_drop(yy); | |
1332 | return (-1); | |
1333 | } | |
1334 | ||
af974107 | 1335 | static PyObject *mm_mexpr(PyObject *me, void *v, size_t n) |
d7ab1bab | 1336 | { return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); } |
b2687a0a | 1337 | |
d7ab1bab | 1338 | static void mp_mexp_drop(void *p) |
1339 | { | |
1340 | mp_expfactor *f = p; | |
1341 | mp_drop(f->base); | |
1342 | mp_drop(f->exp); | |
1343 | } | |
1344 | ||
1345 | static PyObject *mmmeth_mexpr(PyObject *me, PyObject *arg) | |
1346 | { | |
1347 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1348 | mm_mexpr_id, mm_mexpr_fill, mm_mexpr, mp_mexp_drop); | |
1349 | } | |
1350 | ||
1351 | static PyObject *mp_mexp_id(PyObject *me) | |
1352 | { return mp_pywrap(MP_ONE); } | |
1353 | ||
1354 | static int mp_mexp_fill(void *p, PyObject *me, PyObject *x, PyObject *y) | |
1355 | { | |
1356 | mp *xx = 0, *yy = 0; | |
1357 | mp_expfactor *f = p; | |
1358 | ||
1359 | if ((xx = getmp(x)) == 0 || (yy = getmp(y)) == 0) | |
1360 | goto fail; | |
1361 | if (MP_NEGP(yy)) { | |
1362 | if ((xx = mp_modinv_checked(xx, xx, yy)) == 0) | |
1363 | goto fail; | |
1364 | yy = mp_neg(yy, yy); | |
1365 | } | |
1366 | f->base = xx; | |
1367 | f->exp = yy; | |
1368 | return (0); | |
1369 | ||
1370 | fail: | |
1371 | mp_drop(xx); mp_drop(yy); | |
1372 | return (-1); | |
1373 | } | |
1374 | ||
af974107 | 1375 | static PyObject *mm_mexp(PyObject *me, void *v, size_t n) |
d7ab1bab | 1376 | { return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); } |
b2687a0a | 1377 | |
d7ab1bab | 1378 | static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg) |
1379 | { | |
1380 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1381 | mp_mexp_id, mp_mexp_fill, mm_mexp, mp_mexp_drop); | |
1382 | } | |
1383 | ||
1384 | #define mmmeth_ext mmmeth_reduce | |
1385 | static PyObject *mmmeth_reduce(PyObject *me, PyObject *arg) | |
1386 | { | |
1387 | PyObject *z = 0; | |
1388 | mp *yy = 0; | |
1389 | ||
1390 | if (!PyArg_ParseTuple(arg, "O&", convmp, &yy)) goto end; | |
1391 | z = mp_pywrap(mpmont_reduce(MPMONT_PY(me), MP_NEW, yy)); | |
1392 | end: | |
1393 | return (z); | |
1394 | } | |
1395 | ||
1396 | static void mpmont_pydealloc(PyObject *me) | |
1397 | { | |
1398 | mpmont_destroy(MPMONT_PY(me)); | |
3aa33042 | 1399 | FREEOBJ(me); |
d7ab1bab | 1400 | } |
1401 | ||
1402 | static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1403 | { | |
1404 | mpmont_pyobj *mm = 0; | |
827f89d7 | 1405 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1406 | mp *xx = 0; |
1407 | ||
827f89d7 | 1408 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1409 | goto end; |
1410 | if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd"); | |
1411 | mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0); | |
1412 | mpmont_create(&mm->mm, xx); | |
1413 | end: | |
1414 | if (xx) MP_DROP(xx); | |
1415 | return ((PyObject *)mm); | |
1416 | } | |
1417 | ||
1418 | static PyObject *mmget_m(PyObject *me, void *hunoz) | |
1419 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->m))); } | |
1420 | ||
1421 | static PyObject *mmget_r(PyObject *me, void *hunoz) | |
1422 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r))); } | |
1423 | ||
1424 | static PyObject *mmget_r2(PyObject *me, void *hunoz) | |
1425 | { return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); } | |
1426 | ||
637b9140 | 1427 | static const PyGetSetDef mpmont_pygetset[] = { |
d7ab1bab | 1428 | #define GETSETNAME(op, name) mm##op##_##name |
1429 | GET (m, "M.m -> modulus for reduction") | |
1430 | GET (r, "M.r -> multiplicative identity") | |
1431 | GET (r2, "M.r2 -> M.r^2, Montgomerization factor") | |
1432 | #undef GETSETNAME | |
1433 | { 0 } | |
1434 | }; | |
1435 | ||
637b9140 | 1436 | static const PyMethodDef mpmont_pymethods[] = { |
d7ab1bab | 1437 | #define METHNAME(name) mmmeth_##name |
986bcc44 | 1438 | METH (int, "M.int(X) -> XR") |
d7ab1bab | 1439 | METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y") |
1440 | METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m") | |
ef783f91 MW |
1441 | METH (mexpr, "M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR " |
1442 | "where Z = X0^N0 X1^N1 ... mod M.m\n" | |
1443 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1444 | METH (reduce, "M.reduce(XR) -> X") |
1445 | METH (ext, "M.ext(XR) -> X") | |
1446 | METH (exp, "M.exp(X, N) -> X^N mod M.m") | |
ef783f91 MW |
1447 | METH (mexp, "M.mexp([(X0, N0), (X1, N1), ...]) = " |
1448 | "X0^N0 X1^N1 ... mod M.m\n" | |
1449 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1450 | #undef METHNAME |
1451 | { 0 } | |
1452 | }; | |
1453 | ||
ddd4720b | 1454 | static const PyTypeObject mpmont_pytype_skel = { |
4648f560 | 1455 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1456 | "MPMont", /* @tp_name@ */ |
d7ab1bab | 1457 | sizeof(mpmont_pyobj), /* @tp_basicsize@ */ |
1458 | 0, /* @tp_itemsize@ */ | |
1459 | ||
1460 | mpmont_pydealloc, /* @tp_dealloc@ */ | |
1461 | 0, /* @tp_print@ */ | |
1462 | 0, /* @tp_getattr@ */ | |
1463 | 0, /* @tp_setattr@ */ | |
1464 | 0, /* @tp_compare@ */ | |
1465 | 0, /* @tp_repr@ */ | |
1466 | 0, /* @tp_as_number@ */ | |
1467 | 0, /* @tp_as_sequence@ */ | |
1468 | 0, /* @tp_as_mapping@ */ | |
1469 | 0, /* @tp_hash@ */ | |
1470 | 0, /* @tp_call@ */ | |
1471 | 0, /* @tp_str@ */ | |
1472 | 0, /* @tp_getattro@ */ | |
1473 | 0, /* @tp_setattro@ */ | |
1474 | 0, /* @tp_as_buffer@ */ | |
1475 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1476 | Py_TPFLAGS_BASETYPE, | |
1477 | ||
1478 | /* @tp_doc@ */ | |
ef783f91 | 1479 | "MPMont(N): a Montgomery reduction context.", |
d7ab1bab | 1480 | |
1481 | 0, /* @tp_traverse@ */ | |
1482 | 0, /* @tp_clear@ */ | |
1483 | 0, /* @tp_richcompare@ */ | |
1484 | 0, /* @tp_weaklistoffset@ */ | |
1485 | 0, /* @tp_iter@ */ | |
963a6148 | 1486 | 0, /* @tp_iternext@ */ |
637b9140 | 1487 | PYMETHODS(mpmont), /* @tp_methods@ */ |
d7ab1bab | 1488 | 0, /* @tp_members@ */ |
637b9140 | 1489 | PYGETSET(mpmont), /* @tp_getset@ */ |
d7ab1bab | 1490 | 0, /* @tp_base@ */ |
1491 | 0, /* @tp_dict@ */ | |
1492 | 0, /* @tp_descr_get@ */ | |
1493 | 0, /* @tp_descr_set@ */ | |
1494 | 0, /* @tp_dictoffset@ */ | |
1495 | 0, /* @tp_init@ */ | |
1496 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1497 | mpmont_pynew, /* @tp_new@ */ | |
3aa33042 | 1498 | 0, /* @tp_free@ */ |
d7ab1bab | 1499 | 0 /* @tp_is_gc@ */ |
1500 | }; | |
1501 | ||
1502 | /*----- Barrett reduction -------------------------------------------------*/ | |
1503 | ||
ddd4720b MW |
1504 | static PyTypeObject *mpbarrett_pytype; |
1505 | ||
d7ab1bab | 1506 | typedef struct mpbarrett_pyobj { |
1507 | PyObject_HEAD | |
1508 | mpbarrett mb; | |
1509 | } mpbarrett_pyobj; | |
1510 | ||
1511 | #define MPBARRETT_PY(o) (&((mpbarrett_pyobj *)(o))->mb) | |
1512 | ||
1513 | static PyObject *mbmeth_exp(PyObject *me, PyObject *arg) | |
1514 | { | |
1515 | PyObject *rc = 0; | |
1516 | mp *yy = 0, *zz = 0; | |
1517 | ||
1518 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1519 | goto end; | |
1520 | if (MP_NEGP(zz)) { | |
1521 | if ((yy = mp_modinv_checked(yy, yy, MPBARRETT_PY(me)->m)) == 0) goto end; | |
1522 | zz = mp_neg(zz, zz); | |
1523 | } | |
1524 | rc = mp_pywrap(mpbarrett_exp(MPBARRETT_PY(me), MP_NEW, yy, zz)); | |
1525 | end: | |
1526 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1527 | return (rc); | |
1528 | } | |
1529 | ||
af974107 | 1530 | static PyObject *mb_mexp(PyObject *me, void *v, size_t n) |
d7ab1bab | 1531 | { return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); } |
b2687a0a | 1532 | |
d7ab1bab | 1533 | static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg) |
1534 | { | |
1535 | return mexp_common(me, arg, sizeof(mp_expfactor), | |
1536 | mp_mexp_id, mp_mexp_fill, mb_mexp, mp_mexp_drop); | |
1537 | } | |
1538 | ||
1539 | static PyObject *mbmeth_reduce(PyObject *me, PyObject *arg) | |
1540 | { | |
1541 | PyObject *z = 0; | |
1542 | mp *yy = 0; | |
1543 | ||
1544 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) | |
1545 | goto end; | |
1546 | z = mp_pywrap(mpbarrett_reduce(MPBARRETT_PY(me), MP_NEW, yy)); | |
1547 | end: | |
1548 | return (z); | |
1549 | } | |
1550 | ||
1551 | static void mpbarrett_pydealloc(PyObject *me) | |
1552 | { | |
1553 | mpbarrett_destroy(MPBARRETT_PY(me)); | |
3aa33042 | 1554 | FREEOBJ(me); |
d7ab1bab | 1555 | } |
1556 | ||
1557 | static PyObject *mpbarrett_pynew(PyTypeObject *ty, | |
1558 | PyObject *arg, PyObject *kw) | |
1559 | { | |
1560 | mpbarrett_pyobj *mb = 0; | |
827f89d7 | 1561 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1562 | mp *xx = 0; |
1563 | ||
827f89d7 | 1564 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1565 | goto end; |
1566 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1567 | mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0); | |
1568 | mpbarrett_create(&mb->mb, xx); | |
1569 | end: | |
1570 | if (xx) MP_DROP(xx); | |
1571 | return ((PyObject *)mb); | |
1572 | } | |
1573 | ||
1574 | static PyObject *mbget_m(PyObject *me, void *hunoz) | |
1575 | { return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); } | |
1576 | ||
637b9140 | 1577 | static const PyGetSetDef mpbarrett_pygetset[] = { |
d7ab1bab | 1578 | #define GETSETNAME(op, name) mb##op##_##name |
1579 | GET (m, "B.m -> modulus for reduction") | |
1580 | #undef GETSETNAME | |
1581 | { 0 } | |
1582 | }; | |
1583 | ||
637b9140 | 1584 | static const PyMethodDef mpbarrett_pymethods[] = { |
d7ab1bab | 1585 | #define METHNAME(name) mbmeth_##name |
1586 | METH (reduce, "B.reduce(X) -> X mod B.m") | |
1587 | METH (exp, "B.exp(X, N) -> X^N mod B.m") | |
ef783f91 MW |
1588 | METH (mexp, "B.mexp([(X0, N0), (X1, N1), ...]) = " |
1589 | "X0^N0 X1^N1 ... mod B.m\n" | |
1590 | "\t(the list may be flattened if this more convenient.)") | |
d7ab1bab | 1591 | #undef METHNAME |
1592 | { 0 } | |
1593 | }; | |
1594 | ||
ddd4720b | 1595 | static const PyTypeObject mpbarrett_pytype_skel = { |
4648f560 | 1596 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1597 | "MPBarrett", /* @tp_name@ */ |
d7ab1bab | 1598 | sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */ |
1599 | 0, /* @tp_itemsize@ */ | |
1600 | ||
1601 | mpbarrett_pydealloc, /* @tp_dealloc@ */ | |
1602 | 0, /* @tp_print@ */ | |
1603 | 0, /* @tp_getattr@ */ | |
1604 | 0, /* @tp_setattr@ */ | |
1605 | 0, /* @tp_compare@ */ | |
1606 | 0, /* @tp_repr@ */ | |
1607 | 0, /* @tp_as_number@ */ | |
1608 | 0, /* @tp_as_sequence@ */ | |
1609 | 0, /* @tp_as_mapping@ */ | |
1610 | 0, /* @tp_hash@ */ | |
1611 | 0, /* @tp_call@ */ | |
1612 | 0, /* @tp_str@ */ | |
1613 | 0, /* @tp_getattro@ */ | |
1614 | 0, /* @tp_setattro@ */ | |
1615 | 0, /* @tp_as_buffer@ */ | |
1616 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1617 | Py_TPFLAGS_BASETYPE, | |
1618 | ||
1619 | /* @tp_doc@ */ | |
ef783f91 | 1620 | "MPBarrett(N): a Barrett reduction context.", |
d7ab1bab | 1621 | |
1622 | 0, /* @tp_traverse@ */ | |
1623 | 0, /* @tp_clear@ */ | |
1624 | 0, /* @tp_richcompare@ */ | |
1625 | 0, /* @tp_weaklistoffset@ */ | |
1626 | 0, /* @tp_iter@ */ | |
963a6148 | 1627 | 0, /* @tp_iternext@ */ |
637b9140 | 1628 | PYMETHODS(mpbarrett), /* @tp_methods@ */ |
d7ab1bab | 1629 | 0, /* @tp_members@ */ |
637b9140 | 1630 | PYGETSET(mpbarrett), /* @tp_getset@ */ |
d7ab1bab | 1631 | 0, /* @tp_base@ */ |
1632 | 0, /* @tp_dict@ */ | |
1633 | 0, /* @tp_descr_get@ */ | |
1634 | 0, /* @tp_descr_set@ */ | |
1635 | 0, /* @tp_dictoffset@ */ | |
1636 | 0, /* @tp_init@ */ | |
1637 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1638 | mpbarrett_pynew, /* @tp_new@ */ | |
3aa33042 | 1639 | 0, /* @tp_free@ */ |
d7ab1bab | 1640 | 0 /* @tp_is_gc@ */ |
1641 | }; | |
1642 | ||
1643 | /*----- Nice prime reduction ----------------------------------------------*/ | |
1644 | ||
ddd4720b MW |
1645 | static PyTypeObject *mpreduce_pytype; |
1646 | ||
d7ab1bab | 1647 | typedef struct mpreduce_pyobj { |
1648 | PyObject_HEAD | |
1649 | mpreduce mr; | |
1650 | } mpreduce_pyobj; | |
1651 | ||
1652 | #define MPREDUCE_PY(o) (&((mpreduce_pyobj *)(o))->mr) | |
1653 | ||
1654 | static PyObject *mrmeth_exp(PyObject *me, PyObject *arg) | |
1655 | { | |
1656 | PyObject *rc = 0; | |
1657 | mp *yy = 0, *zz = 0; | |
1658 | ||
1659 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convmp, &yy, convmp, &zz)) | |
1660 | goto end; | |
1661 | if (MP_NEGP(zz)) { | |
1662 | if ((yy = mp_modinv_checked(yy, yy, MPREDUCE_PY(me)->p)) == 0) goto end; | |
1663 | zz = mp_neg(zz, zz); | |
1664 | } | |
1665 | rc = mp_pywrap(mpreduce_exp(MPREDUCE_PY(me), MP_NEW, yy, zz)); | |
1666 | end: | |
1667 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
1668 | return (rc); | |
1669 | } | |
1670 | ||
1671 | static PyObject *mrmeth_reduce(PyObject *me, PyObject *arg) | |
1672 | { | |
1673 | PyObject *z = 0; | |
1674 | mp *yy = 0; | |
1675 | ||
1676 | if (!PyArg_ParseTuple(arg, "O&:reduce", convmp, &yy)) goto end; | |
1677 | z = mp_pywrap(mpreduce_do(MPREDUCE_PY(me), MP_NEW, yy)); | |
1678 | end: | |
1679 | return (z); | |
1680 | } | |
1681 | ||
1682 | static void mpreduce_pydealloc(PyObject *me) | |
1683 | { | |
1684 | mpreduce_destroy(MPREDUCE_PY(me)); | |
3aa33042 | 1685 | FREEOBJ(me); |
d7ab1bab | 1686 | } |
1687 | ||
1688 | static PyObject *mpreduce_pynew(PyTypeObject *ty, | |
1689 | PyObject *arg, PyObject *kw) | |
1690 | { | |
1691 | mpreduce_pyobj *mr = 0; | |
1692 | mpreduce r; | |
827f89d7 | 1693 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 1694 | mp *xx = 0; |
1695 | ||
827f89d7 | 1696 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx)) |
d7ab1bab | 1697 | goto end; |
1698 | if (!MP_POSP(xx)) VALERR("m must be positive"); | |
1699 | if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)"); | |
1700 | mr = (mpreduce_pyobj *)ty->tp_alloc(ty, 0); | |
1701 | mr->mr = r; | |
1702 | end: | |
1703 | if (xx) MP_DROP(xx); | |
1704 | return ((PyObject *)mr); | |
1705 | } | |
1706 | ||
1707 | static PyObject *mrget_m(PyObject *me, void *hunoz) | |
1708 | { return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); } | |
1709 | ||
637b9140 | 1710 | static const PyGetSetDef mpreduce_pygetset[] = { |
d7ab1bab | 1711 | #define GETSETNAME(op, name) mr##op##_##name |
1712 | GET (m, "R.m -> modulus for reduction") | |
1713 | #undef GETSETNAME | |
1714 | { 0 } | |
1715 | }; | |
1716 | ||
637b9140 | 1717 | static const const PyMethodDef mpreduce_pymethods[] = { |
d7ab1bab | 1718 | #define METHNAME(name) mrmeth_##name |
1719 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
1720 | METH (exp, "R.exp(X, N) -> X^N mod B.m") | |
1721 | #undef METHNAME | |
1722 | { 0 } | |
1723 | }; | |
1724 | ||
ddd4720b | 1725 | static const PyTypeObject mpreduce_pytype_skel = { |
4648f560 | 1726 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1727 | "MPReduce", /* @tp_name@ */ |
d7ab1bab | 1728 | sizeof(mpreduce_pyobj), /* @tp_basicsize@ */ |
1729 | 0, /* @tp_itemsize@ */ | |
1730 | ||
1731 | mpreduce_pydealloc, /* @tp_dealloc@ */ | |
1732 | 0, /* @tp_print@ */ | |
1733 | 0, /* @tp_getattr@ */ | |
1734 | 0, /* @tp_setattr@ */ | |
1735 | 0, /* @tp_compare@ */ | |
1736 | 0, /* @tp_repr@ */ | |
1737 | 0, /* @tp_as_number@ */ | |
1738 | 0, /* @tp_as_sequence@ */ | |
1739 | 0, /* @tp_as_mapping@ */ | |
1740 | 0, /* @tp_hash@ */ | |
1741 | 0, /* @tp_call@ */ | |
1742 | 0, /* @tp_str@ */ | |
1743 | 0, /* @tp_getattro@ */ | |
1744 | 0, /* @tp_setattro@ */ | |
1745 | 0, /* @tp_as_buffer@ */ | |
1746 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1747 | Py_TPFLAGS_BASETYPE, | |
1748 | ||
1749 | /* @tp_doc@ */ | |
ef783f91 | 1750 | "MPReduce(N): a reduction context for reduction modulo Solinas primes.", |
d7ab1bab | 1751 | |
1752 | 0, /* @tp_traverse@ */ | |
1753 | 0, /* @tp_clear@ */ | |
1754 | 0, /* @tp_richcompare@ */ | |
1755 | 0, /* @tp_weaklistoffset@ */ | |
1756 | 0, /* @tp_iter@ */ | |
963a6148 | 1757 | 0, /* @tp_iternext@ */ |
637b9140 | 1758 | PYMETHODS(mpreduce), /* @tp_methods@ */ |
d7ab1bab | 1759 | 0, /* @tp_members@ */ |
637b9140 | 1760 | PYGETSET(mpreduce), /* @tp_getset@ */ |
d7ab1bab | 1761 | 0, /* @tp_base@ */ |
1762 | 0, /* @tp_dict@ */ | |
1763 | 0, /* @tp_descr_get@ */ | |
1764 | 0, /* @tp_descr_set@ */ | |
1765 | 0, /* @tp_dictoffset@ */ | |
1766 | 0, /* @tp_init@ */ | |
1767 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1768 | mpreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 1769 | 0, /* @tp_free@ */ |
d7ab1bab | 1770 | 0 /* @tp_is_gc@ */ |
1771 | }; | |
1772 | ||
1773 | /*----- Chinese Remainder Theorem solution --------------------------------*/ | |
1774 | ||
ddd4720b MW |
1775 | static PyTypeObject *mpcrt_pytype; |
1776 | ||
d7ab1bab | 1777 | typedef struct mpcrt_pyobj { |
1778 | PyObject_HEAD | |
1779 | mpcrt c; | |
1780 | } mpcrt_pyobj; | |
1781 | ||
1782 | #define MPCRT_PY(o) (&((mpcrt_pyobj *)(o))->c) | |
1783 | ||
1784 | static PyObject *mcmeth_solve(PyObject *me, PyObject *arg) | |
1785 | { | |
1786 | mpcrt *c = MPCRT_PY(me); | |
d91d53e0 | 1787 | PyObject *q = 0, *it, *x, *z = 0; |
d7ab1bab | 1788 | mp *xx; |
1789 | mp **v = 0; | |
77a0d53f | 1790 | Py_ssize_t i = 0, n = c->k; |
d7ab1bab | 1791 | |
8dd6ebb3 | 1792 | if (PyTuple_GET_SIZE(arg) == n) |
d7ab1bab | 1793 | q = arg; |
1794 | else if (!PyArg_ParseTuple(arg, "O:solve", &q)) | |
1795 | goto end; | |
d91d53e0 MW |
1796 | v = xmalloc(n*sizeof(*v)); |
1797 | it = PyObject_GetIter(q); if (!it) goto end; | |
1798 | while (i < n) { | |
1799 | x = PyIter_Next(it); | |
1800 | if (!x) { | |
1801 | if (PyErr_Occurred()) goto end; | |
1802 | VALERR("residue count mismatch"); | |
1803 | } | |
d7ab1bab | 1804 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; |
d91d53e0 | 1805 | v[i++] = xx; xx = 0; |
d7ab1bab | 1806 | } |
d91d53e0 MW |
1807 | x = PyIter_Next(it); |
1808 | if (x) { Py_DECREF(x); VALERR("residue count mismatch"); } | |
1809 | else if (PyErr_Occurred()) goto end; | |
d7ab1bab | 1810 | z = mp_pywrap(mpcrt_solve(c, MP_NEW, v)); |
1811 | end: | |
1812 | if (v) { | |
d2d15504 | 1813 | while (i--) MP_DROP(v[i]); |
d7ab1bab | 1814 | xfree(v); |
1815 | } | |
d7ab1bab | 1816 | return (z); |
1817 | } | |
1818 | ||
1819 | static void mpcrt_pydealloc(PyObject *me) | |
1820 | { | |
1821 | mpcrt *c = MPCRT_PY(me); | |
1822 | mpcrt_destroy(c); | |
1823 | xfree(c->v); | |
1824 | } | |
1825 | ||
1826 | static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1827 | { | |
1828 | mpcrt_mod *v = 0; | |
77a0d53f | 1829 | Py_ssize_t n, i = 0, j; |
827f89d7 | 1830 | static const char *const kwlist[] = { "mv", 0 }; |
d91d53e0 | 1831 | PyObject *q, *it = 0, *x; |
d2b7e92c MW |
1832 | mp *xx = MP_NEW, *y = MP_NEW, *g = MP_NEW; |
1833 | mpmul mm; | |
d7ab1bab | 1834 | mpcrt_pyobj *c = 0; |
1835 | ||
8dd6ebb3 | 1836 | if (PyTuple_GET_SIZE(arg) > 1) |
d7ab1bab | 1837 | q = arg; |
827f89d7 | 1838 | else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", KWLIST, &q)) |
d7ab1bab | 1839 | goto end; |
d91d53e0 MW |
1840 | |
1841 | if (!PySequence_Check(q)) | |
1842 | n = 16; | |
1843 | else { | |
1844 | n = PySequence_Size(arg); | |
1845 | if (n == (size_t)-1 && PyErr_Occurred()) goto end; | |
1846 | } | |
1847 | ||
1848 | v = xmalloc(n*sizeof(*v)); | |
1849 | it = PyObject_GetIter(q); if (!it) goto end; | |
1850 | for (;;) { | |
1851 | x = PyIter_Next(it); if (!x) break; | |
d7ab1bab | 1852 | xx = getmp(x); Py_DECREF(x); if (!xx) goto end; |
684cd535 | 1853 | if (MP_CMP(xx, <=, MP_ZERO)) VALERR("moduli must be positive"); |
d91d53e0 MW |
1854 | if (i >= n) { n *= 2; v = xrealloc(v, n*sizeof(*v), i*sizeof(*v)); } |
1855 | v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; i++; xx = MP_NEW; | |
d7ab1bab | 1856 | } |
d91d53e0 MW |
1857 | if (PyErr_Occurred()) goto end; |
1858 | Py_DECREF(it); it = 0; | |
1859 | ||
d2b7e92c MW |
1860 | mpmul_init(&mm); |
1861 | for (j = 0; j < i; j++) mpmul_add(&mm, v[j].m); | |
1862 | xx = mpmul_done(&mm); | |
1863 | for (j = 0; j < i; j++) { | |
1864 | mp_div(&y, 0, xx, v[j].m); | |
1865 | mp_gcd(&g, 0, 0, y, v[j].m); | |
1866 | if (!MP_EQ(g, MP_ONE)) VALERR("moduli must be pairwise coprime"); | |
1867 | } | |
1868 | ||
d7ab1bab | 1869 | c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0); |
d91d53e0 | 1870 | mpcrt_create(&c->c, v, i, 0); |
d2b7e92c | 1871 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d7ab1bab | 1872 | return ((PyObject *)c); |
1873 | ||
1874 | end: | |
1875 | if (v) { | |
d2d15504 | 1876 | while (i--) MP_DROP(v[i].m); |
d7ab1bab | 1877 | xfree(v); |
1878 | } | |
d2b7e92c | 1879 | mp_drop(xx); mp_drop(y); mp_drop(g); |
d91d53e0 | 1880 | Py_XDECREF(it); |
d7ab1bab | 1881 | return (0); |
1882 | } | |
1883 | ||
1884 | static PyObject *mcget_product(PyObject *me, void *hunoz) | |
1885 | { return (mp_pywrap(MP_COPY(MPCRT_PY(me)->mb.m))); } | |
1886 | ||
1887 | static PyObject *mcget_moduli(PyObject *me, void *hunoz) | |
1888 | { | |
1889 | int i; | |
1890 | PyObject *q; | |
1891 | mpcrt *c = MPCRT_PY(me); | |
1892 | ||
1893 | if ((q = PyList_New(c->k)) == 0) return (0); | |
1894 | for (i = 0; i < c->k; i++) | |
8dd6ebb3 | 1895 | PyList_SET_ITEM(q, i, mp_pywrap(c->v[i].m)); |
d7ab1bab | 1896 | return (q); |
1897 | } | |
1898 | ||
637b9140 | 1899 | static const PyGetSetDef mpcrt_pygetset[] = { |
d7ab1bab | 1900 | #define GETSETNAME(op, name) mc##op##_##name |
1901 | GET (product, "C.product -> product of moduli") | |
1902 | GET (moduli, "C.moduli -> list of individual moduli") | |
1903 | #undef GETSETNAME | |
1904 | { 0 } | |
1905 | }; | |
1906 | ||
637b9140 | 1907 | static const PyMethodDef mpcrt_pymethods[] = { |
d7ab1bab | 1908 | #define METHNAME(name) mcmeth_##name |
1909 | METH (solve, "C.solve([R0, R1]) -> X mod C.product") | |
1910 | #undef METHNAME | |
1911 | { 0 } | |
1912 | }; | |
1913 | ||
ddd4720b | 1914 | static const PyTypeObject mpcrt_pytype_skel = { |
4648f560 | 1915 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 1916 | "MPCRT", /* @tp_name@ */ |
d7ab1bab | 1917 | sizeof(mpcrt_pyobj), /* @tp_basicsize@ */ |
1918 | 0, /* @tp_itemsize@ */ | |
1919 | ||
1920 | mpcrt_pydealloc, /* @tp_dealloc@ */ | |
1921 | 0, /* @tp_print@ */ | |
1922 | 0, /* @tp_getattr@ */ | |
1923 | 0, /* @tp_setattr@ */ | |
1924 | 0, /* @tp_compare@ */ | |
1925 | 0, /* @tp_repr@ */ | |
1926 | 0, /* @tp_as_number@ */ | |
1927 | 0, /* @tp_as_sequence@ */ | |
1928 | 0, /* @tp_as_mapping@ */ | |
1929 | 0, /* @tp_hash@ */ | |
1930 | 0, /* @tp_call@ */ | |
1931 | 0, /* @tp_str@ */ | |
1932 | 0, /* @tp_getattro@ */ | |
1933 | 0, /* @tp_setattro@ */ | |
1934 | 0, /* @tp_as_buffer@ */ | |
1935 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
1936 | Py_TPFLAGS_BASETYPE, | |
1937 | ||
1938 | /* @tp_doc@ */ | |
ef783f91 | 1939 | "MPCRT(SEQ): a context for solving Chinese Remainder Theorem problems.", |
d7ab1bab | 1940 | |
1941 | 0, /* @tp_traverse@ */ | |
1942 | 0, /* @tp_clear@ */ | |
1943 | 0, /* @tp_richcompare@ */ | |
1944 | 0, /* @tp_weaklistoffset@ */ | |
1945 | 0, /* @tp_iter@ */ | |
963a6148 | 1946 | 0, /* @tp_iternext@ */ |
637b9140 | 1947 | PYMETHODS(mpcrt), /* @tp_methods@ */ |
d7ab1bab | 1948 | 0, /* @tp_members@ */ |
637b9140 | 1949 | PYGETSET(mpcrt), /* @tp_getset@ */ |
d7ab1bab | 1950 | 0, /* @tp_base@ */ |
1951 | 0, /* @tp_dict@ */ | |
1952 | 0, /* @tp_descr_get@ */ | |
1953 | 0, /* @tp_descr_set@ */ | |
1954 | 0, /* @tp_dictoffset@ */ | |
1955 | 0, /* @tp_init@ */ | |
1956 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
1957 | mpcrt_pynew, /* @tp_new@ */ | |
3aa33042 | 1958 | 0, /* @tp_free@ */ |
d7ab1bab | 1959 | 0 /* @tp_is_gc@ */ |
1960 | }; | |
1961 | ||
1962 | /*----- Binary polynomials ------------------------------------------------*/ | |
1963 | ||
1964 | static PyObject *gf_pyrepr(PyObject *o) | |
e8cd4ca5 | 1965 | { return mp_topystring(MP_X(o), 16, "GF(", "0x", ")"); } |
d7ab1bab | 1966 | |
1967 | static PyObject *gf_pyrichcompare(PyObject *x, PyObject *y, int op) | |
1968 | { | |
1969 | mp *xx, *yy; | |
1970 | int xl, yl; | |
1971 | int b; | |
1972 | ||
bf8910bd | 1973 | if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; |
d7ab1bab | 1974 | switch (op) { |
1975 | case Py_EQ: b = MP_EQ(xx, yy); break; | |
1976 | case Py_NE: b = !MP_EQ(xx, yy); break; | |
1977 | default: | |
1978 | xl = mp_bits(xx); | |
1979 | yl = mp_bits(yy); | |
1980 | switch (op) { | |
1981 | case Py_LT: b = xl < yl; break; | |
1982 | case Py_LE: b = xl <= yl; break; | |
1983 | case Py_GT: b = xl > yl; break; | |
1984 | case Py_GE: b = xl >= yl; break; | |
1985 | default: abort(); | |
1986 | } | |
1987 | break; | |
1988 | } | |
1989 | MP_DROP(xx); MP_DROP(yy); | |
1990 | return (getbool(b)); | |
1991 | } | |
1992 | ||
1993 | static PyObject *gf_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
1994 | { | |
1995 | PyObject *x; | |
1996 | mp *z; | |
1997 | mp_pyobj *zz = 0; | |
1998 | int radix = 0; | |
827f89d7 | 1999 | static const char *const kwlist[] = { "x", "radix", 0 }; |
d7ab1bab | 2000 | |
827f89d7 | 2001 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", KWLIST, &x, &radix)) |
d7ab1bab | 2002 | goto end; |
2003 | if (GF_PYCHECK(x)) RETURN_OBJ(x); | |
f368b46e | 2004 | if (!good_radix_p(radix, 1)) VALERR("radix out of range"); |
d7ab1bab | 2005 | if ((z = mp_frompyobject(x, radix)) == 0) { |
2006 | PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf", | |
f984b31a | 2007 | Py_TYPE(x)->tp_name); |
d7ab1bab | 2008 | goto end; |
2009 | } | |
2010 | if (MP_NEGP(z)) { | |
2011 | MP_DROP(z); | |
2012 | VALERR("gf cannot be negative"); | |
2013 | } | |
2014 | zz = (mp_pyobj *)ty->tp_alloc(ty, 0); | |
2015 | zz->x = z; | |
2016 | end: | |
2017 | return ((PyObject *)zz); | |
2018 | } | |
2019 | ||
d7ab1bab | 2020 | static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z) |
2021 | { | |
2022 | mp *xx = 0, *yy = 0, *zz = 0; | |
2023 | mp *r = 0; | |
2024 | PyObject *rc = 0; | |
2025 | ||
f3e22904 MW |
2026 | if ((xx = implicitgf(x)) == 0 || (yy = implicitmp(y)) == 0 || |
2027 | (z && z != Py_None && (zz = implicitgf(z)) == 0)) { | |
d7ab1bab | 2028 | mp_drop(xx); mp_drop(yy); mp_drop(zz); |
2029 | RETURN_NOTIMPL; | |
2030 | } | |
2031 | if (!z || z == Py_None) { | |
2032 | if (MP_NEGP(yy)) VALERR("negative exponent"); | |
2033 | r = gf_exp(MP_NEW, xx, yy); | |
2034 | } else { | |
2035 | gfreduce gr; | |
2036 | if (MP_ZEROP(zz)) ZDIVERR("zero modulus"); | |
2037 | if (MP_NEGP(yy)) { | |
2038 | if ((xx = gf_modinv_checked(xx, xx, zz)) == 0) goto end; | |
2039 | yy = mp_neg(yy, yy); | |
2040 | } | |
2041 | gfreduce_create(&gr, zz); | |
2042 | r = gfreduce_exp(&gr, MP_NEW, xx, yy); | |
2043 | gfreduce_destroy(&gr); | |
2044 | } | |
2045 | rc = gf_pywrap(r); | |
2046 | end: | |
2047 | mp_drop(xx); mp_drop(yy); mp_drop(zz); | |
2048 | return (rc); | |
2049 | } | |
2050 | ||
7a75bb76 MW |
2051 | static PyObject *gfmeth_sqr(PyObject *me) |
2052 | { return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me)))); } | |
d7ab1bab | 2053 | |
2054 | static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg) | |
2055 | { | |
2056 | PyObject *z = 0; | |
2057 | mp *yy = 0, *zz = MP_NEW; | |
2058 | ||
2059 | if (!PyArg_ParseTuple(arg, "O&:gcd", convgf, &yy)) goto end; | |
2060 | gf_gcd(&zz, 0, 0, MP_X(me), yy); | |
2061 | z = gf_pywrap(zz); | |
2062 | end: | |
2063 | if (yy) MP_DROP(yy); | |
2064 | return (z); | |
2065 | } | |
2066 | ||
2067 | static PyObject *gfmeth_gcdx(PyObject *me, PyObject *arg) | |
2068 | { | |
2069 | PyObject *z = 0; | |
2070 | mp *yy = 0, *zz = MP_NEW, *uu = MP_NEW, *vv = MP_NEW; | |
2071 | ||
2072 | if (!PyArg_ParseTuple(arg, "O&:gcdx", convgf, &yy)) | |
2073 | goto end; | |
2074 | gf_gcd(&zz, &uu, &vv, MP_X(me), yy); | |
2075 | z = Py_BuildValue("(NNN)", | |
2076 | gf_pywrap(zz), gf_pywrap(uu), gf_pywrap(vv)); | |
2077 | end: | |
2078 | if (yy) MP_DROP(yy); | |
2079 | return (z); | |
2080 | } | |
2081 | ||
2082 | static PyObject *gfmeth_modinv(PyObject *me, PyObject *arg) | |
2083 | { | |
2084 | PyObject *z = 0; | |
2085 | mp *yy = 0, *zz = MP_NEW; | |
2086 | ||
2087 | if (!PyArg_ParseTuple(arg, "O&:modinv", convgf, &yy) || | |
2088 | (zz = gf_modinv_checked(MP_NEW, yy, MP_X(me))) == 0) | |
2089 | goto end; | |
2090 | z = gf_pywrap(zz); | |
2091 | end: | |
2092 | if (yy) MP_DROP(yy); | |
2093 | return (z); | |
2094 | } | |
2095 | ||
b16009b0 MW |
2096 | static PyObject *gfmeth_fromstring(PyObject *me, |
2097 | PyObject *arg, PyObject *kw) | |
27cbcf9d MW |
2098 | { |
2099 | int r = 0; | |
2100 | char *p; | |
2101 | Py_ssize_t len; | |
2102 | PyObject *z = 0; | |
2103 | mp *zz; | |
2104 | mptext_stringctx sc; | |
b16009b0 | 2105 | static const char *const kwlist[] = { "x", "radix", 0 }; |
27cbcf9d | 2106 | |
b16009b0 MW |
2107 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST, |
2108 | &p, &len, &r)) | |
27cbcf9d MW |
2109 | goto end; |
2110 | if (!good_radix_p(r, 1)) VALERR("bad radix"); | |
2111 | sc.buf = p; sc.lim = p + len; | |
2112 | if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 || | |
2113 | MP_NEGP(zz)) { | |
2114 | if (zz) MP_DROP(zz); | |
2115 | VALERR("bad binary polynomial"); | |
2116 | } | |
2117 | z = Py_BuildValue("(Ns#)", gf_pywrap(zz), | |
2118 | sc.buf, (Py_ssize_t)(sc.lim - sc.buf)); | |
2119 | end: | |
2120 | return (z); | |
2121 | } | |
2122 | ||
7a75bb76 MW |
2123 | static PyObject *gfmeth_irreduciblep(PyObject *me) |
2124 | { return getbool(gf_irreduciblep(MP_X(me))); } | |
d7ab1bab | 2125 | |
2126 | static PyObject *gfget_degree(PyObject *me, void *hunoz) | |
2127 | { return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); } | |
2128 | ||
637b9140 | 2129 | static const PyGetSetDef gf_pygetset[] = { |
d7ab1bab | 2130 | #define GETSETNAME(op, name) gf##op##_##name |
2131 | GET (degree, "X.degree -> polynomial degree of X") | |
2132 | #undef GETSETNAME | |
2133 | #define GETSETNAME(op, name) mp##op##_##name | |
2134 | GET (nbits, "X.nbits -> bit length of X") | |
2135 | GET (noctets, "X.noctets -> octet length of X") | |
2136 | #undef GETSETNAME | |
2137 | { 0 } | |
2138 | }; | |
2139 | ||
637b9140 | 2140 | static const PyMethodDef gf_pymethods[] = { |
d7ab1bab | 2141 | #define METHNAME(func) gfmeth_##func |
2142 | METH (setbit, "X.setbit(N) -> X with bit N set") | |
2143 | METH (clearbit, "X.clearbit(N) -> X with bit N clear") | |
2144 | METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X") | |
7a75bb76 | 2145 | NAMETH(sqr, "X.sqr() -> X^2") |
d7ab1bab | 2146 | METH (gcd, "X.gcd(Y) -> gcd(X, Y)") |
ef783f91 | 2147 | METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)") |
d7ab1bab | 2148 | METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X") |
7a75bb76 | 2149 | NAMETH(irreduciblep, "X.irreduciblep() -> true/false") |
b16009b0 MW |
2150 | KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n" |
2151 | " Parse STR as a binary polynomial, according to RADIX. If RADIX is\n" | |
2152 | " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n" | |
2153 | " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.") | |
1e8aaf8b | 2154 | SMTH (_implicit, 0) |
b16009b0 MW |
2155 | SMTH (loadl, "loadl(STR) -> X: read little-endian bytes") |
2156 | SMTH (loadb, "loadb(STR) -> X: read big-endian bytes") | |
2157 | SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format") | |
d7ab1bab | 2158 | #undef METHNAME |
2159 | #define METHNAME(func) mpmeth_##func | |
1df8d5fe MW |
2160 | KWMETH(tostring, "X.tostring([radix = 10]) -> STR") |
2161 | KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes") | |
2162 | KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes") | |
ef783f91 MW |
2163 | KWMETH(storel2c, "X.storel2c([len = -1]) -> " |
2164 | "little-endian bytes, two's complement") | |
2165 | KWMETH(storeb2c, "X.storeb2c([len = -1]) -> " | |
2166 | "big-endian bytes, two's complement") | |
7a75bb76 | 2167 | NAMETH(tobuf, "X.tobuf() -> buffer format") |
d7ab1bab | 2168 | #undef METHNAME |
2169 | { 0 } | |
2170 | }; | |
2171 | ||
637b9140 | 2172 | static const PyNumberMethods gf_pynumber = { |
d7ab1bab | 2173 | gf_pyadd, /* @nb_add@ */ |
2174 | gf_pysub, /* @nb_subtract@ */ | |
2175 | gf_pymul, /* @nb_multiply@ */ | |
d472b9a1 | 2176 | #ifdef PY2 |
d7ab1bab | 2177 | 0, /* @nb_divide@ */ |
d472b9a1 | 2178 | #endif |
d7ab1bab | 2179 | gf_pymod, /* @nb_remainder@ */ |
2180 | gf_pydivmod, /* @nb_divmod@ */ | |
2181 | gf_pyexp, /* @nb_power@ */ | |
2182 | mp_pyid, /* @nb_negative@ */ | |
2183 | mp_pyid, /* @nb_positive@ */ | |
2184 | mp_pyid, /* @nb_absolute@ */ | |
2185 | mp_pynonzerop, /* @nb_nonzero@ */ | |
2186 | 0 /* doesn't make any sense */, /* @nb_invert@ */ | |
2187 | gf_pylsl, /* @nb_lshift@ */ | |
2188 | gf_pylsr, /* @nb_rshift@ */ | |
2189 | gf_pyand, /* @nb_and@ */ | |
2190 | gf_pyxor, /* @nb_xor@ */ | |
2191 | gf_pyor, /* @nb_or@ */ | |
d472b9a1 | 2192 | #ifdef PY2 |
d7ab1bab | 2193 | gf_pycoerce, /* @nb_coerce@ */ |
d472b9a1 | 2194 | #endif |
d7ab1bab | 2195 | mp_pyint, /* @nb_int@ */ |
d472b9a1 | 2196 | PY23(mp_pylong, 0), /* @nb_long@ */ |
d7ab1bab | 2197 | 0 /* doesn't make any sense */, /* @nb_float@ */ |
d472b9a1 | 2198 | #ifdef PY2 |
d7ab1bab | 2199 | mp_pyoct, /* @nb_oct@ */ |
2200 | mp_pyhex, /* @nb_hex@ */ | |
d472b9a1 | 2201 | #endif |
d7ab1bab | 2202 | |
2203 | 0, /* @nb_inplace_add@ */ | |
2204 | 0, /* @nb_inplace_subtract@ */ | |
2205 | 0, /* @nb_inplace_multiply@ */ | |
d472b9a1 | 2206 | #ifdef PY2 |
d7ab1bab | 2207 | 0, /* @nb_inplace_divide@ */ |
d472b9a1 | 2208 | #endif |
d7ab1bab | 2209 | 0, /* @nb_inplace_remainder@ */ |
2210 | 0, /* @nb_inplace_power@ */ | |
2211 | 0, /* @nb_inplace_lshift@ */ | |
2212 | 0, /* @nb_inplace_rshift@ */ | |
2213 | 0, /* @nb_inplace_and@ */ | |
2214 | 0, /* @nb_inplace_xor@ */ | |
2215 | 0, /* @nb_inplace_or@ */ | |
2216 | ||
2217 | gf_pydiv, /* @nb_floor_divide@ */ | |
2218 | 0, /* @nb_true_divide@ */ | |
2219 | 0, /* @nb_inplace_floor_divide@ */ | |
2220 | 0, /* @nb_inplace_true_divide@ */ | |
8aafc119 MW |
2221 | |
2222 | mp_pyint, /* @nb_index@ */ | |
d7ab1bab | 2223 | }; |
2224 | ||
ddd4720b | 2225 | static const PyTypeObject gf_pytype_skel = { |
4648f560 | 2226 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2227 | "GF", /* @tp_name@ */ |
d7ab1bab | 2228 | sizeof(mp_pyobj), /* @tp_basicsize@ */ |
2229 | 0, /* @tp_itemsize@ */ | |
2230 | ||
2231 | mp_pydealloc, /* @tp_dealloc@ */ | |
2232 | 0, /* @tp_print@ */ | |
2233 | 0, /* @tp_getattr@ */ | |
2234 | 0, /* @tp_setattr@ */ | |
2235 | 0, /* @tp_compare@ */ | |
2236 | gf_pyrepr, /* @tp_repr@ */ | |
637b9140 | 2237 | PYNUMBER(gf), /* @tp_as_number@ */ |
d7ab1bab | 2238 | 0, /* @tp_as_sequence@ */ |
2239 | 0, /* @tp_as_mapping@ */ | |
ab723d73 | 2240 | mp_pyhash, /* @tp_hash@ */ |
d7ab1bab | 2241 | 0, /* @tp_call@ */ |
2242 | mp_pyhex, /* @tp_str@ */ | |
2243 | 0, /* @tp_getattro@ */ | |
2244 | 0, /* @tp_setattro@ */ | |
2245 | 0, /* @tp_as_buffer@ */ | |
2246 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2247 | Py_TPFLAGS_CHECKTYPES | | |
2248 | Py_TPFLAGS_BASETYPE, | |
2249 | ||
2250 | /* @tp_doc@ */ | |
ef783f91 MW |
2251 | "Binary polynomials. Support almost all the standard arithmetic\n" |
2252 | "operations.\n" | |
2253 | "\n" | |
2254 | "Constructor GF(X, [radix = R]) attempts to convert X to a `GF'. If\n" | |
2255 | "X is a string, it's read in radix-R form, or we look for a prefix\n" | |
2256 | "if R = 0. Other acceptable things are field elements, elliptic curve\n" | |
d472b9a1 | 2257 | PY23( |
ef783f91 | 2258 | "points, group elements, Python `int' and `long' objects, and anything\n" |
d472b9a1 MW |
2259 | "with an integer conversion.\n", |
2260 | "points, group elements, Python `int' objects, and anything with an\n" | |
2261 | "integer conversion.\n") | |
ef783f91 MW |
2262 | "\n" |
2263 | "The name is hopelessly wrong from a technical point of view, but\n" | |
2264 | "but it's much easier to type than `p2' or `c2' or whatever.\n" | |
2265 | "\n" | |
2266 | "Notes:\n" | |
2267 | "\n" | |
2268 | " * Use `//' for Euclidean division: `/' gives exact rational division.", | |
d7ab1bab | 2269 | |
2270 | 0, /* @tp_traverse@ */ | |
2271 | 0, /* @tp_clear@ */ | |
2272 | gf_pyrichcompare, /* @tp_richcompare@ */ | |
2273 | 0, /* @tp_weaklistoffset@ */ | |
2274 | 0, /* @tp_iter@ */ | |
963a6148 | 2275 | 0, /* @tp_iternext@ */ |
637b9140 | 2276 | PYMETHODS(gf), /* @tp_methods@ */ |
d7ab1bab | 2277 | 0, /* @tp_members@ */ |
637b9140 | 2278 | PYGETSET(gf), /* @tp_getset@ */ |
d7ab1bab | 2279 | 0, /* @tp_base@ */ |
2280 | 0, /* @tp_dict@ */ | |
2281 | 0, /* @tp_descr_get@ */ | |
2282 | 0, /* @tp_descr_set@ */ | |
2283 | 0, /* @tp_dictoffset@ */ | |
2284 | 0, /* @tp_init@ */ | |
2285 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2286 | gf_pynew, /* @tp_new@ */ | |
3aa33042 | 2287 | 0, /* @tp_free@ */ |
d7ab1bab | 2288 | 0 /* @tp_is_gc@ */ |
2289 | }; | |
2290 | ||
d7ab1bab | 2291 | /*----- Sparse poly reduction ---------------------------------------------*/ |
2292 | ||
ddd4720b MW |
2293 | static PyTypeObject *gfreduce_pytype; |
2294 | ||
d7ab1bab | 2295 | typedef struct gfreduce_pyobj { |
2296 | PyObject_HEAD | |
2297 | gfreduce mr; | |
2298 | } gfreduce_pyobj; | |
2299 | ||
2300 | #define GFREDUCE_PY(o) (&((gfreduce_pyobj *)(o))->mr) | |
2301 | ||
2302 | static PyObject *grmeth_exp(PyObject *me, PyObject *arg) | |
2303 | { | |
2304 | PyObject *rc = 0; | |
2305 | mp *yy = 0, *zz = 0; | |
2306 | ||
2307 | if (!PyArg_ParseTuple(arg, "O&O&:exp", convgf, &yy, convgf, &zz)) | |
2308 | goto end; | |
2309 | if (MP_NEGP(zz)) { | |
2310 | if ((yy = gf_modinv_checked(yy, yy, GFREDUCE_PY(me)->p)) == 0) goto end; | |
2311 | zz = mp_neg(zz, zz); | |
2312 | } | |
2313 | rc = gf_pywrap(gfreduce_exp(GFREDUCE_PY(me), MP_NEW, yy, zz)); | |
2314 | end: | |
2315 | if (yy) MP_DROP(yy); if (zz) MP_DROP(zz); | |
2316 | return (rc); | |
2317 | } | |
2318 | ||
fbc145f3 MW |
2319 | static PyObject *grmeth_trace(PyObject *me, PyObject *arg) |
2320 | { | |
2321 | PyObject *rc = 0; | |
2322 | mp *xx = 0; | |
2323 | ||
2324 | if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end; | |
2325 | rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx)); | |
2326 | end: | |
2327 | if (xx) MP_DROP(xx); | |
2328 | return (rc); | |
2329 | } | |
2330 | ||
2331 | static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg) | |
2332 | { | |
2333 | PyObject *rc = 0; | |
2334 | mp *xx = 0; | |
2335 | ||
2336 | if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end; | |
2337 | rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx)); | |
2338 | end: | |
2339 | if (xx) MP_DROP(xx); | |
2340 | return (rc); | |
2341 | } | |
2342 | ||
2343 | static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg) | |
2344 | { | |
2345 | PyObject *rc = 0; | |
2346 | mp *xx = 0, *yy; | |
2347 | ||
2348 | if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end; | |
2349 | if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2350 | VALERR("no modular square root"); | |
2351 | rc = gf_pywrap(yy); | |
2352 | end: | |
2353 | if (xx) MP_DROP(xx); | |
2354 | return (rc); | |
2355 | } | |
2356 | ||
2357 | static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg) | |
2358 | { | |
2359 | PyObject *rc = 0; | |
2360 | mp *xx = 0, *yy; | |
2361 | ||
2362 | if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end; | |
2363 | if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0) | |
2364 | VALERR("no solution found"); | |
2365 | rc = gf_pywrap(yy); | |
2366 | end: | |
2367 | if (xx) MP_DROP(xx); | |
2368 | return (rc); | |
2369 | } | |
2370 | ||
d7ab1bab | 2371 | static PyObject *grmeth_reduce(PyObject *me, PyObject *arg) |
2372 | { | |
2373 | PyObject *z = 0; | |
2374 | mp *yy = 0; | |
2375 | ||
2376 | if (!PyArg_ParseTuple(arg, "O&:reduce", convgf, &yy)) goto end; | |
2377 | z = gf_pywrap(gfreduce_do(GFREDUCE_PY(me), MP_NEW, yy)); | |
2378 | end: | |
2379 | return (z); | |
2380 | } | |
2381 | ||
2382 | static void gfreduce_pydealloc(PyObject *me) | |
2383 | { | |
2384 | gfreduce_destroy(GFREDUCE_PY(me)); | |
3aa33042 | 2385 | FREEOBJ(me); |
d7ab1bab | 2386 | } |
2387 | ||
2388 | static PyObject *gfreduce_pynew(PyTypeObject *ty, | |
2389 | PyObject *arg, PyObject *kw) | |
2390 | { | |
2391 | gfreduce_pyobj *mr = 0; | |
2392 | gfreduce r; | |
827f89d7 | 2393 | static const char *const kwlist[] = { "m", 0 }; |
d7ab1bab | 2394 | mp *xx = 0; |
2395 | ||
827f89d7 | 2396 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convgf, &xx)) |
d7ab1bab | 2397 | goto end; |
2398 | if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!"); | |
2399 | gfreduce_create(&r, xx); | |
2400 | mr = (gfreduce_pyobj *)ty->tp_alloc(ty, 0); | |
2401 | mr->mr = r; | |
2402 | end: | |
2403 | if (xx) MP_DROP(xx); | |
2404 | return ((PyObject *)mr); | |
2405 | } | |
2406 | ||
2407 | static PyObject *grget_m(PyObject *me, void *hunoz) | |
2408 | { return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); } | |
2409 | ||
637b9140 | 2410 | static const PyGetSetDef gfreduce_pygetset[] = { |
d7ab1bab | 2411 | #define GETSETNAME(op, name) gr##op##_##name |
2412 | GET (m, "R.m -> reduction polynomial") | |
2413 | #undef GETSETNAME | |
2414 | { 0 } | |
2415 | }; | |
2416 | ||
637b9140 | 2417 | static const PyMethodDef gfreduce_pymethods[] = { |
d7ab1bab | 2418 | #define METHNAME(name) grmeth_##name |
2419 | METH (reduce, "R.reduce(X) -> X mod B.m") | |
fbc145f3 | 2420 | METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}") |
ef783f91 | 2421 | METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}") |
fbc145f3 MW |
2422 | METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R") |
2423 | METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R") | |
d7ab1bab | 2424 | METH (exp, "R.exp(X, N) -> X^N mod B.m") |
2425 | #undef METHNAME | |
2426 | { 0 } | |
2427 | }; | |
2428 | ||
ddd4720b | 2429 | static const PyTypeObject gfreduce_pytype_skel = { |
4648f560 | 2430 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2431 | "GFReduce", /* @tp_name@ */ |
d7ab1bab | 2432 | sizeof(gfreduce_pyobj), /* @tp_basicsize@ */ |
2433 | 0, /* @tp_itemsize@ */ | |
2434 | ||
2435 | gfreduce_pydealloc, /* @tp_dealloc@ */ | |
2436 | 0, /* @tp_print@ */ | |
2437 | 0, /* @tp_getattr@ */ | |
2438 | 0, /* @tp_setattr@ */ | |
2439 | 0, /* @tp_compare@ */ | |
2440 | 0, /* @tp_repr@ */ | |
2441 | 0, /* @tp_as_number@ */ | |
2442 | 0, /* @tp_as_sequence@ */ | |
2443 | 0, /* @tp_as_mapping@ */ | |
2444 | 0, /* @tp_hash@ */ | |
2445 | 0, /* @tp_call@ */ | |
2446 | 0, /* @tp_str@ */ | |
2447 | 0, /* @tp_getattro@ */ | |
2448 | 0, /* @tp_setattro@ */ | |
2449 | 0, /* @tp_as_buffer@ */ | |
2450 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2451 | Py_TPFLAGS_BASETYPE, | |
2452 | ||
2453 | /* @tp_doc@ */ | |
ef783f91 | 2454 | "GFReduce(N): a context for reduction modulo sparse polynomials.", |
d7ab1bab | 2455 | |
2456 | 0, /* @tp_traverse@ */ | |
2457 | 0, /* @tp_clear@ */ | |
2458 | 0, /* @tp_richcompare@ */ | |
2459 | 0, /* @tp_weaklistoffset@ */ | |
2460 | 0, /* @tp_iter@ */ | |
963a6148 | 2461 | 0, /* @tp_iternext@ */ |
637b9140 | 2462 | PYMETHODS(gfreduce), /* @tp_methods@ */ |
d7ab1bab | 2463 | 0, /* @tp_members@ */ |
637b9140 | 2464 | PYGETSET(gfreduce), /* @tp_getset@ */ |
d7ab1bab | 2465 | 0, /* @tp_base@ */ |
2466 | 0, /* @tp_dict@ */ | |
2467 | 0, /* @tp_descr_get@ */ | |
2468 | 0, /* @tp_descr_set@ */ | |
2469 | 0, /* @tp_dictoffset@ */ | |
2470 | 0, /* @tp_init@ */ | |
2471 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2472 | gfreduce_pynew, /* @tp_new@ */ | |
3aa33042 | 2473 | 0, /* @tp_free@ */ |
d7ab1bab | 2474 | 0 /* @tp_is_gc@ */ |
2475 | }; | |
2476 | ||
2477 | /*----- Normal/poly transformation ----------------------------------------*/ | |
2478 | ||
ddd4720b MW |
2479 | static PyTypeObject *gfn_pytype; |
2480 | ||
d7ab1bab | 2481 | typedef struct gfn_pyobj { |
2482 | PyObject_HEAD | |
2483 | mp *p; | |
2484 | gfn ntop, pton; | |
2485 | } gfn_pyobj; | |
2486 | ||
d7ab1bab | 2487 | #define GFN_P(o) (((gfn_pyobj *)(o))->p) |
2488 | #define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton) | |
2489 | #define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop) | |
2490 | ||
2491 | static PyObject *gfn_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw) | |
2492 | { | |
2493 | mp *p = 0, *beta = 0; | |
2494 | gfn_pyobj *gg = 0; | |
827f89d7 | 2495 | static const char *const kwlist[] = { "p", "beta", 0 }; |
d7ab1bab | 2496 | |
827f89d7 | 2497 | if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", KWLIST, |
d7ab1bab | 2498 | convgf, &p, convgf, &beta)) |
2499 | goto end; | |
2500 | gg = PyObject_New(gfn_pyobj, ty); | |
79ac6c22 | 2501 | gg->p = 0; |
d7ab1bab | 2502 | if (gfn_create(p, beta, &gg->ntop, &gg->pton)) { |
79ac6c22 | 2503 | Py_DECREF(gg); |
d7ab1bab | 2504 | gg = 0; |
2505 | VALERR("can't invert transformation matrix"); | |
2506 | } | |
2507 | gg->p = MP_COPY(p); | |
2508 | end: | |
2509 | mp_drop(p); | |
2510 | mp_drop(beta); | |
2511 | return ((PyObject *)gg); | |
2512 | } | |
2513 | ||
2514 | static PyObject *gfnget_p(PyObject *me, void *hunoz) | |
2515 | { return (gf_pywrap(MP_COPY(GFN_P(me)))); } | |
2516 | ||
2517 | static PyObject *gfnget_beta(PyObject *me, void *hunoz) | |
2518 | { | |
2519 | gfn *n = GFN_NTOP(me); | |
2520 | mp *x = n->r[n->n - 1]; | |
2521 | return (gf_pywrap(MP_COPY(x))); | |
2522 | } | |
2523 | ||
2524 | #define XFORMOP(name, NAME) \ | |
2525 | static PyObject *gfnmeth_##name(PyObject *me, PyObject *arg) \ | |
2526 | { \ | |
2527 | mp *xx = 0; \ | |
2528 | mp *z = 0; \ | |
2529 | \ | |
2530 | if (!PyArg_ParseTuple(arg, "O&:" #name, convgf, &xx)) goto end; \ | |
2531 | z = gfn_transform(GFN_##NAME(me), MP_NEW, xx); \ | |
2532 | end: \ | |
2533 | mp_drop(xx); \ | |
2534 | if (!z) return (0); \ | |
62ce807d | 2535 | return (gf_pywrap(z)); \ |
d7ab1bab | 2536 | } |
2537 | XFORMOP(pton, PTON) | |
2538 | XFORMOP(ntop, NTOP) | |
2539 | #undef XFORMOP | |
2540 | ||
2541 | static void gfn_pydealloc(PyObject *me) | |
2542 | { | |
79ac6c22 | 2543 | if (GFN_P(me)) { |
b76bb841 | 2544 | MP_DROP(GFN_P(me)); |
79ac6c22 MW |
2545 | gfn_destroy(GFN_PTON(me)); |
2546 | gfn_destroy(GFN_NTOP(me)); | |
2547 | } | |
3aa33042 | 2548 | FREEOBJ(me); |
d7ab1bab | 2549 | } |
2550 | ||
637b9140 | 2551 | static const PyGetSetDef gfn_pygetset[] = { |
d7ab1bab | 2552 | #define GETSETNAME(op, name) gfn##op##_##name |
2553 | GET (p, "X.p -> polynomial basis, as polynomial") | |
2554 | GET (beta, "X.beta -> normal basis element, in poly form") | |
2555 | #undef GETSETNAME | |
2556 | { 0 } | |
2557 | }; | |
2558 | ||
637b9140 | 2559 | static const PyMethodDef gfn_pymethods[] = { |
d7ab1bab | 2560 | #define METHNAME(name) gfnmeth_##name |
2561 | METH (pton, "X.pton(A) -> normal-basis representation of A") | |
2562 | METH (ntop, "X.ntop(A) -> polynomial-basis representation of A") | |
2563 | #undef METHNAME | |
2564 | { 0 } | |
2565 | }; | |
2566 | ||
ddd4720b | 2567 | static const PyTypeObject gfn_pytype_skel = { |
4648f560 | 2568 | PyVarObject_HEAD_INIT(0, 0) /* Header */ |
c461c9b3 | 2569 | "GFN", /* @tp_name@ */ |
d7ab1bab | 2570 | sizeof(gfn_pyobj), /* @tp_basicsize@ */ |
2571 | 0, /* @tp_itemsize@ */ | |
2572 | ||
2573 | gfn_pydealloc, /* @tp_dealloc@ */ | |
2574 | 0, /* @tp_print@ */ | |
2575 | 0, /* @tp_getattr@ */ | |
2576 | 0, /* @tp_setattr@ */ | |
2577 | 0, /* @tp_compare@ */ | |
2578 | 0, /* @tp_repr@ */ | |
2579 | 0, /* @tp_as_number@ */ | |
2580 | 0, /* @tp_as_sequence@ */ | |
2581 | 0, /* @tp_as_mapping@ */ | |
2582 | 0, /* @tp_hash@ */ | |
2583 | 0, /* @tp_call@ */ | |
2584 | 0, /* @tp_str@ */ | |
2585 | 0, /* @tp_getattro@ */ | |
2586 | 0, /* @tp_setattro@ */ | |
2587 | 0, /* @tp_as_buffer@ */ | |
2588 | Py_TPFLAGS_DEFAULT | /* @tp_flags@ */ | |
2589 | Py_TPFLAGS_BASETYPE, | |
2590 | ||
2591 | /* @tp_doc@ */ | |
ef783f91 MW |
2592 | "GFN(P, BETA): an object for transforming elements of binary fields\n" |
2593 | " between polynomial and normal basis representations.", | |
d7ab1bab | 2594 | |
2595 | 0, /* @tp_traverse@ */ | |
2596 | 0, /* @tp_clear@ */ | |
2597 | 0, /* @tp_richcompare@ */ | |
2598 | 0, /* @tp_weaklistoffset@ */ | |
2599 | 0, /* @tp_iter@ */ | |
963a6148 | 2600 | 0, /* @tp_iternext@ */ |
637b9140 | 2601 | PYMETHODS(gfn), /* @tp_methods@ */ |
d7ab1bab | 2602 | 0, /* @tp_members@ */ |
637b9140 | 2603 | PYGETSET(gfn), /* @tp_getset@ */ |
d7ab1bab | 2604 | 0, /* @tp_base@ */ |
2605 | 0, /* @tp_dict@ */ | |
2606 | 0, /* @tp_descr_get@ */ | |
2607 | 0, /* @tp_descr_set@ */ | |
2608 | 0, /* @tp_dictoffset@ */ | |
2609 | 0, /* @tp_init@ */ | |
2610 | PyType_GenericAlloc, /* @tp_alloc@ */ | |
2611 | gfn_pynew, /* @tp_new@ */ | |
3aa33042 | 2612 | 0, /* @tp_free@ */ |
d7ab1bab | 2613 | 0 /* @tp_is_gc@ */ |
2614 | }; | |
2615 | ||
2616 | /*----- Glue --------------------------------------------------------------*/ | |
2617 | ||
cc36f2d8 MW |
2618 | static const struct nameval consts[] = { |
2619 | CONST(MPW_MAX), | |
2620 | { 0 } | |
2621 | }; | |
2622 | ||
d7ab1bab | 2623 | void mp_pyinit(void) |
2624 | { | |
2625 | INITTYPE(mp, root); | |
2626 | INITTYPE(gf, root); | |
32507e35 | 2627 | INITTYPE(mpmul, root); |
d7ab1bab | 2628 | INITTYPE(mpmont, root); |
2629 | INITTYPE(mpbarrett, root); | |
2630 | INITTYPE(mpreduce, root); | |
2631 | INITTYPE(mpcrt, root); | |
2632 | INITTYPE(gfreduce, root); | |
2633 | INITTYPE(gfn, root); | |
d7ab1bab | 2634 | } |
2635 | ||
2636 | void mp_pyinsert(PyObject *mod) | |
2637 | { | |
2638 | INSERT("MP", mp_pytype); | |
32507e35 | 2639 | INSERT("MPMul", mpmul_pytype); |
d7ab1bab | 2640 | INSERT("MPMont", mpmont_pytype); |
2641 | INSERT("MPBarrett", mpbarrett_pytype); | |
2642 | INSERT("MPReduce", mpreduce_pytype); | |
2643 | INSERT("MPCRT", mpcrt_pytype); | |
2644 | INSERT("GF", gf_pytype); | |
2645 | INSERT("GFReduce", gfreduce_pytype); | |
2646 | INSERT("GFN", gfn_pytype); | |
cc36f2d8 | 2647 | setconstants(mod, consts); |
d7ab1bab | 2648 | } |
2649 | ||
2650 | /*----- That's all, folks -------------------------------------------------*/ |