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ceb3f0c0 | 1 | /* -*-c-*- |
2 | * | |
ceb3f0c0 | 3 | * Efficient reduction modulo sparse binary polynomials |
4 | * | |
5 | * (c) 2004 Straylight/Edgeware | |
6 | */ | |
7 | ||
45c0fd36 | 8 | /*----- Licensing notice --------------------------------------------------* |
ceb3f0c0 | 9 | * |
10 | * This file is part of Catacomb. | |
11 | * | |
12 | * Catacomb is free software; you can redistribute it and/or modify | |
13 | * it under the terms of the GNU Library General Public License as | |
14 | * published by the Free Software Foundation; either version 2 of the | |
15 | * License, or (at your option) any later version. | |
45c0fd36 | 16 | * |
ceb3f0c0 | 17 | * Catacomb 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 Library General Public License for more details. | |
45c0fd36 | 21 | * |
ceb3f0c0 | 22 | * You should have received a copy of the GNU Library General Public |
23 | * License along with Catacomb; if not, write to the Free | |
24 | * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, | |
25 | * MA 02111-1307, USA. | |
26 | */ | |
27 | ||
ceb3f0c0 | 28 | /*----- Header files ------------------------------------------------------*/ |
29 | ||
30 | #include <mLib/alloc.h> | |
31 | #include <mLib/darray.h> | |
32 | #include <mLib/macros.h> | |
33 | ||
34 | #include "gf.h" | |
35 | #include "gfreduce.h" | |
36 | #include "gfreduce-exp.h" | |
37 | #include "fibrand.h" | |
38 | #include "mprand.h" | |
39 | ||
40 | /*----- Data structures ---------------------------------------------------*/ | |
41 | ||
42 | DA_DECL(instr_v, gfreduce_instr); | |
43 | ||
44 | /*----- Main code ---------------------------------------------------------*/ | |
45 | ||
46 | /* --- What's going on here? --- * | |
47 | * | |
48 | * Let's face it, @gfx_div@ sucks. It works (I hope), but it's not in any | |
49 | * sense fast. Here, we do efficient reduction modulo sparse polynomials. | |
50 | * | |
51 | * Suppose we have a polynomial @X@ we're trying to reduce mod @P@. If we | |
52 | * take the topmost nonzero word of @X@, call it @w@, then we can eliminate | |
53 | * it by subtracting off @w P x^{k}@ for an appropriate value of @k@. The | |
54 | * trick is in observing that if @P@ is sparse we can do this multiplication | |
55 | * and subtraction efficiently, just by XORing appropriate shifts of @w@ into | |
56 | * @X@. | |
57 | * | |
58 | * The first tricky bit is in working out when to stop. I'll use eight-bit | |
59 | * words to demonstrate what I'm talking about. | |
60 | * | |
61 | * xxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx xxxxxxxx | |
45c0fd36 MW |
62 | * 001ppppp pppppppp pppppppp pppppppp |
63 | * |<rp>| | |
64 | * |<------------ bp ------------->| | |
65 | * |<------------ nw --------------->| | |
ceb3f0c0 | 66 | * |
67 | * The trick of taking whole words off of @X@ stops working when there are | |
68 | * only @nw@ words left. Then we have to mask off the bottom bits of @w@ | |
69 | * before continuing. | |
70 | */ | |
71 | ||
72 | /* --- @gfreduce_create@ --- * | |
73 | * | |
74 | * Arguments: @gfreduce *r@ = structure to fill in | |
75 | * @mp *x@ = a (hopefully sparse) polynomial | |
76 | * | |
77 | * Returns: --- | |
78 | * | |
79 | * Use: Initializes a context structure for reduction. | |
80 | */ | |
81 | ||
82 | void gfreduce_create(gfreduce *r, mp *p) | |
83 | { | |
84 | instr_v iv = DA_INIT; | |
f46efa79 | 85 | unsigned long d; |
86 | unsigned dw; | |
ceb3f0c0 | 87 | mpscan sc; |
88 | unsigned long i; | |
89 | gfreduce_instr *ip; | |
90 | unsigned f = 0; | |
c29970a7 | 91 | size_t w, ww, wi, wl, ll, bb; |
ceb3f0c0 | 92 | |
93 | /* --- Sort out the easy stuff --- */ | |
94 | ||
95 | d = mp_bits(p); assert(d); d--; | |
96 | r->lim = d/MPW_BITS; | |
97 | dw = d%MPW_BITS; | |
98 | if (!dw) | |
99 | r->mask = 0; | |
100 | else { | |
101 | r->mask = MPW(((mpw)-1) << dw); | |
102 | r->lim++; | |
103 | } | |
104 | r->p = mp_copy(p); | |
105 | ||
106 | /* --- Stash a new instruction --- */ | |
107 | ||
108 | #define INSTR(op_, arg_) do { \ | |
109 | DA_ENSURE(&iv, 1); \ | |
110 | DA(&iv)[DA_LEN(&iv)].op = (op_); \ | |
111 | DA(&iv)[DA_LEN(&iv)].arg = (arg_); \ | |
112 | DA_EXTEND(&iv, 1); \ | |
113 | } while (0) | |
114 | ||
115 | #define f_lsr 1u | |
116 | ||
117 | w = (d + MPW_BITS - 1)/MPW_BITS; | |
118 | INSTR(GFRI_LOAD, w); | |
119 | wi = DA_LEN(&iv); | |
120 | f = 0; | |
121 | ll = 0; | |
c29970a7 | 122 | bb = MPW_BITS - dw; |
ceb3f0c0 | 123 | for (i = 0, mp_scan(&sc, p); mp_step(&sc) && i < d; i++) { |
124 | if (!mp_bit(&sc)) | |
125 | continue; | |
126 | ww = (d - i + MPW_BITS - 1)/MPW_BITS; | |
127 | if (ww != w) { | |
128 | wl = DA_LEN(&iv); | |
129 | INSTR(GFRI_STORE, w); | |
130 | if (!ll) | |
131 | ll = DA_LEN(&iv); | |
132 | if (!(f & f_lsr)) | |
133 | INSTR(GFRI_LOAD, ww); | |
134 | else { | |
135 | INSTR(GFRI_LOAD, w - 1); | |
136 | for (; wi < wl; wi++) { | |
137 | ip = &DA(&iv)[wi]; | |
138 | assert(ip->op == GFRI_LSL); | |
139 | if (ip->arg) | |
140 | INSTR(GFRI_LSR, MPW_BITS - ip->arg); | |
141 | } | |
142 | if (w - 1 != ww) { | |
143 | INSTR(GFRI_STORE, w - 1); | |
144 | INSTR(GFRI_LOAD, ww); | |
145 | } | |
146 | f &= ~f_lsr; | |
147 | } | |
148 | w = ww; | |
149 | wi = DA_LEN(&iv); | |
150 | } | |
c29970a7 MW |
151 | INSTR(GFRI_LSL, (bb + i)%MPW_BITS); |
152 | if ((bb + i)%MPW_BITS) | |
ceb3f0c0 | 153 | f |= f_lsr; |
154 | } | |
155 | wl = DA_LEN(&iv); | |
156 | INSTR(GFRI_STORE, w); | |
157 | if (!ll) | |
158 | ll = DA_LEN(&iv); | |
159 | if (f & f_lsr) { | |
160 | INSTR(GFRI_LOAD, w - 1); | |
161 | for (; wi < wl; wi++) { | |
162 | ip = &DA(&iv)[wi]; | |
163 | assert(ip->op == GFRI_LSL); | |
164 | if (ip->arg) | |
165 | INSTR(GFRI_LSR, MPW_BITS - ip->arg); | |
166 | } | |
167 | INSTR(GFRI_STORE, w - 1); | |
168 | } | |
169 | ||
170 | #undef INSTR | |
171 | ||
172 | r->in = DA_LEN(&iv); | |
173 | r->iv = xmalloc(r->in * sizeof(gfreduce_instr)); | |
174 | r->liv = r->iv + ll; | |
175 | memcpy(r->iv, DA(&iv), r->in * sizeof(gfreduce_instr)); | |
176 | DA_DESTROY(&iv); | |
177 | } | |
178 | ||
179 | /* --- @gfreduce_destroy@ --- * | |
180 | * | |
181 | * Arguments: @gfreduce *r@ = structure to free | |
182 | * | |
183 | * Returns: --- | |
184 | * | |
185 | * Use: Reclaims the resources from a reduction context. | |
186 | */ | |
187 | ||
188 | void gfreduce_destroy(gfreduce *r) | |
189 | { | |
190 | mp_drop(r->p); | |
191 | xfree(r->iv); | |
192 | } | |
193 | ||
194 | /* --- @gfreduce_dump@ --- * | |
195 | * | |
196 | * Arguments: @gfreduce *r@ = structure to dump | |
197 | * @FILE *fp@ = file to dump on | |
198 | * | |
199 | * Returns: --- | |
200 | * | |
201 | * Use: Dumps a reduction context. | |
202 | */ | |
203 | ||
204 | void gfreduce_dump(gfreduce *r, FILE *fp) | |
205 | { | |
206 | size_t i; | |
207 | ||
208 | fprintf(fp, "poly = "); mp_writefile(r->p, fp, 16); | |
209 | fprintf(fp, "\n lim = %lu; mask = %lx\n", | |
210 | (unsigned long)r->lim, (unsigned long)r->mask); | |
211 | for (i = 0; i < r->in; i++) { | |
212 | static const char *opname[] = { "load", "lsl", "lsr", "store" }; | |
213 | assert(r->iv[i].op < N(opname)); | |
214 | fprintf(fp, " %s %lu\n", | |
215 | opname[r->iv[i].op], | |
216 | (unsigned long)r->iv[i].arg); | |
217 | } | |
218 | } | |
219 | ||
220 | /* --- @gfreduce_do@ --- * | |
221 | * | |
222 | * Arguments: @gfreduce *r@ = reduction context | |
223 | * @mp *d@ = destination | |
224 | * @mp *x@ = source | |
225 | * | |
226 | * Returns: Destination, @x@ reduced modulo the reduction poly. | |
227 | */ | |
228 | ||
229 | static void run(const gfreduce_instr *i, const gfreduce_instr *il, | |
230 | mpw *v, mpw z) | |
231 | { | |
232 | mpw w = 0; | |
233 | ||
234 | for (; i < il; i++) { | |
235 | switch (i->op) { | |
236 | case GFRI_LOAD: w = *(v - i->arg); break; | |
237 | case GFRI_LSL: w ^= z << i->arg; break; | |
238 | case GFRI_LSR: w ^= z >> i->arg; break; | |
239 | case GFRI_STORE: *(v - i->arg) = MPW(w); break; | |
240 | default: abort(); | |
241 | } | |
242 | } | |
243 | } | |
244 | ||
245 | mp *gfreduce_do(gfreduce *r, mp *d, mp *x) | |
246 | { | |
247 | mpw *v, *vl; | |
248 | const gfreduce_instr *il; | |
249 | mpw z; | |
250 | ||
251 | /* --- Try to reuse the source's space --- */ | |
252 | ||
253 | MP_COPY(x); | |
254 | if (d) MP_DROP(d); | |
255 | MP_DEST(x, MP_LEN(x), x->f); | |
256 | ||
257 | /* --- Do the reduction --- */ | |
258 | ||
259 | il = r->iv + r->in; | |
260 | if (MP_LEN(x) >= r->lim) { | |
261 | v = x->v + r->lim; | |
262 | vl = x->vl; | |
263 | while (vl-- > v) { | |
264 | while (*vl) { | |
265 | z = *vl; | |
266 | *vl = 0; | |
267 | run(r->iv, il, vl, z); | |
268 | } | |
269 | } | |
270 | if (r->mask) { | |
271 | while (*vl & r->mask) { | |
272 | z = *vl & r->mask; | |
273 | *vl &= ~r->mask; | |
274 | run(r->iv, il, vl, z); | |
275 | } | |
276 | } | |
277 | } | |
278 | ||
279 | /* --- Done --- */ | |
280 | ||
281 | MP_SHRINK(x); | |
282 | return (x); | |
283 | } | |
284 | ||
285 | /* --- @gfreduce_sqrt@ --- * | |
286 | * | |
287 | * Arguments: @gfreduce *r@ = pointer to reduction context | |
288 | * @mp *d@ = destination | |
289 | * @mp *x@ = some polynomial | |
290 | * | |
291 | * Returns: The square root of @x@ modulo @r->p@, or null. | |
292 | */ | |
293 | ||
294 | mp *gfreduce_sqrt(gfreduce *r, mp *d, mp *x) | |
295 | { | |
296 | mp *y = MP_COPY(x); | |
297 | mp *z, *spare = MP_NEW; | |
298 | unsigned long m = mp_bits(r->p) - 1; | |
299 | unsigned long i; | |
300 | ||
301 | for (i = 0; i < m - 1; i++) { | |
302 | mp *t = gf_sqr(spare, y); | |
303 | spare = y; | |
304 | y = gfreduce_do(r, t, t); | |
305 | } | |
306 | z = gf_sqr(spare, y); | |
307 | z = gfreduce_do(r, z, z); | |
308 | if (!MP_EQ(x, z)) { | |
309 | mp_drop(y); | |
310 | y = 0; | |
311 | } | |
312 | mp_drop(z); | |
313 | mp_drop(d); | |
314 | return (y); | |
315 | } | |
316 | ||
317 | /* --- @gfreduce_trace@ --- * | |
318 | * | |
319 | * Arguments: @gfreduce *r@ = pointer to reduction context | |
320 | * @mp *x@ = some polynomial | |
321 | * | |
322 | * Returns: The trace of @x@. (%$\Tr(x)=x + x^2 + \cdots + x^{2^{m-1}}$% | |
323 | * if %$x \in \gf{2^m}$%). | |
324 | */ | |
325 | ||
326 | int gfreduce_trace(gfreduce *r, mp *x) | |
327 | { | |
328 | mp *y = MP_COPY(x); | |
329 | mp *spare = MP_NEW; | |
330 | unsigned long m = mp_bits(r->p) - 1; | |
331 | unsigned long i; | |
332 | int rc; | |
333 | ||
334 | for (i = 0; i < m - 1; i++) { | |
335 | mp *t = gf_sqr(spare, y); | |
336 | spare = y; | |
337 | y = gfreduce_do(r, t, t); | |
338 | y = gf_add(y, y, x); | |
339 | } | |
a69a3efd | 340 | rc = !MP_ZEROP(y); |
ceb3f0c0 | 341 | mp_drop(spare); |
342 | mp_drop(y); | |
343 | return (rc); | |
344 | } | |
345 | ||
346 | /* --- @gfreduce_halftrace@ --- * | |
347 | * | |
348 | * Arguments: @gfreduce *r@ = pointer to reduction context | |
349 | * @mp *d@ = destination | |
350 | * @mp *x@ = some polynomial | |
351 | * | |
352 | * Returns: The half-trace of @x@. | |
353 | * (%$\HfTr(x)= x + x^{2^2} + \cdots + x^{2^{m-1}}$% | |
354 | * if %$x \in \gf{2^m}$% with %$m$% odd). | |
355 | */ | |
356 | ||
357 | mp *gfreduce_halftrace(gfreduce *r, mp *d, mp *x) | |
358 | { | |
359 | mp *y = MP_COPY(x); | |
360 | mp *spare = MP_NEW; | |
361 | unsigned long m = mp_bits(r->p) - 1; | |
362 | unsigned long i; | |
363 | ||
364 | mp_drop(d); | |
365 | for (i = 0; i < m - 1; i += 2) { | |
366 | mp *t = gf_sqr(spare, y); | |
367 | spare = y; | |
368 | y = gfreduce_do(r, t, t); | |
369 | t = gf_sqr(spare, y); | |
370 | spare = y; | |
371 | y = gfreduce_do(r, t, t); | |
372 | y = gf_add(y, y, x); | |
373 | } | |
374 | mp_drop(spare); | |
375 | return (y); | |
376 | } | |
377 | ||
378 | /* --- @gfreduce_quadsolve@ --- * | |
379 | * | |
380 | * Arguments: @gfreduce *r@ = pointer to reduction context | |
381 | * @mp *d@ = destination | |
382 | * @mp *x@ = some polynomial | |
383 | * | |
384 | * Returns: A polynomial @y@ such that %$y^2 + y = x$%, or null. | |
385 | */ | |
386 | ||
387 | mp *gfreduce_quadsolve(gfreduce *r, mp *d, mp *x) | |
388 | { | |
389 | unsigned long m = mp_bits(r->p) - 1; | |
390 | mp *t; | |
391 | ||
392 | MP_COPY(x); | |
393 | if (m & 1) | |
394 | d = gfreduce_halftrace(r, d, x); | |
395 | else { | |
396 | mp *z, *w, *rho = MP_NEW; | |
397 | mp *spare = MP_NEW; | |
398 | grand *fr = fibrand_create(0); | |
399 | unsigned long i; | |
400 | ||
401 | for (;;) { | |
402 | rho = mprand(rho, m, fr, 0); | |
403 | z = MP_ZERO; | |
404 | w = MP_COPY(rho); | |
405 | for (i = 0; i < m - 1; i++) { | |
406 | t = gf_sqr(spare, z); spare = z; z = gfreduce_do(r, t, t); | |
407 | t = gf_sqr(spare, w); spare = w; w = gfreduce_do(r, t, t); | |
408 | t = gf_mul(spare, w, x); t = gfreduce_do(r, t, t); spare = t; | |
409 | z = gf_add(z, z, t); | |
410 | w = gf_add(w, w, rho); | |
411 | } | |
a69a3efd | 412 | if (!MP_ZEROP(w)) |
ceb3f0c0 | 413 | break; |
414 | MP_DROP(z); | |
415 | MP_DROP(w); | |
416 | } | |
417 | if (d) MP_DROP(d); | |
418 | MP_DROP(w); | |
419 | MP_DROP(spare); | |
420 | MP_DROP(rho); | |
421 | fr->ops->destroy(fr); | |
422 | d = z; | |
423 | } | |
424 | ||
425 | t = gf_sqr(MP_NEW, d); t = gfreduce_do(r, t, t); t = gf_add(t, t, d); | |
426 | if (!MP_EQ(t, x)) { | |
427 | MP_DROP(d); | |
428 | d = 0; | |
429 | } | |
430 | MP_DROP(t); | |
431 | MP_DROP(x); | |
bc985cef | 432 | if (d) d->v[0] &= ~(mpw)1; |
ceb3f0c0 | 433 | return (d); |
434 | } | |
435 | ||
436 | /* --- @gfreduce_exp@ --- * | |
437 | * | |
438 | * Arguments: @gfreduce *gr@ = pointer to reduction context | |
45c0fd36 MW |
439 | * @mp *d@ = fake destination |
440 | * @mp *a@ = base | |
441 | * @mp *e@ = exponent | |
ceb3f0c0 | 442 | * |
45c0fd36 | 443 | * Returns: Result, %$a^e \bmod m$%. |
ceb3f0c0 | 444 | */ |
445 | ||
446 | mp *gfreduce_exp(gfreduce *gr, mp *d, mp *a, mp *e) | |
447 | { | |
448 | mp *x = MP_ONE; | |
449 | mp *spare = (e->f & MP_BURN) ? MP_NEWSEC : MP_NEW; | |
450 | ||
451 | MP_SHRINK(e); | |
a69a3efd | 452 | MP_COPY(a); |
453 | if (MP_ZEROP(e)) | |
ceb3f0c0 | 454 | ; |
a69a3efd | 455 | else { |
456 | if (MP_NEGP(e)) | |
457 | a = gf_modinv(a, a, gr->p); | |
458 | if (MP_LEN(e) < EXP_THRESH) | |
459 | EXP_SIMPLE(x, a, e); | |
460 | else | |
461 | EXP_WINDOW(x, a, e); | |
462 | } | |
ceb3f0c0 | 463 | mp_drop(d); |
a69a3efd | 464 | mp_drop(a); |
ceb3f0c0 | 465 | mp_drop(spare); |
466 | return (x); | |
467 | } | |
468 | ||
469 | /*----- Test rig ----------------------------------------------------------*/ | |
470 | ||
471 | #ifdef TEST_RIG | |
472 | ||
473 | #define MP(x) mp_readstring(MP_NEW, #x, 0, 0) | |
474 | ||
475 | static int vreduce(dstr *v) | |
476 | { | |
477 | mp *d = *(mp **)v[0].buf; | |
478 | mp *n = *(mp **)v[1].buf; | |
479 | mp *r = *(mp **)v[2].buf; | |
480 | mp *c; | |
481 | int ok = 1; | |
482 | gfreduce rr; | |
483 | ||
484 | gfreduce_create(&rr, d); | |
485 | c = gfreduce_do(&rr, MP_NEW, n); | |
486 | if (!MP_EQ(c, r)) { | |
487 | fprintf(stderr, "\n*** reduction failed\n*** "); | |
488 | gfreduce_dump(&rr, stderr); | |
489 | fprintf(stderr, "\n*** n = "); mp_writefile(n, stderr, 16); | |
490 | fprintf(stderr, "\n*** r = "); mp_writefile(r, stderr, 16); | |
491 | fprintf(stderr, "\n*** c = "); mp_writefile(c, stderr, 16); | |
492 | fprintf(stderr, "\n"); | |
493 | ok = 0; | |
494 | } | |
495 | gfreduce_destroy(&rr); | |
496 | mp_drop(n); mp_drop(d); mp_drop(r); mp_drop(c); | |
497 | assert(mparena_count(MPARENA_GLOBAL) == 0); | |
498 | return (ok); | |
499 | } | |
500 | ||
501 | static int vmodexp(dstr *v) | |
502 | { | |
503 | mp *p = *(mp **)v[0].buf; | |
504 | mp *g = *(mp **)v[1].buf; | |
505 | mp *x = *(mp **)v[2].buf; | |
506 | mp *r = *(mp **)v[3].buf; | |
507 | mp *c; | |
508 | int ok = 1; | |
509 | gfreduce rr; | |
510 | ||
511 | gfreduce_create(&rr, p); | |
512 | c = gfreduce_exp(&rr, MP_NEW, g, x); | |
513 | if (!MP_EQ(c, r)) { | |
514 | fprintf(stderr, "\n*** modexp failed\n*** "); | |
515 | fprintf(stderr, "\n*** p = "); mp_writefile(p, stderr, 16); | |
516 | fprintf(stderr, "\n*** g = "); mp_writefile(g, stderr, 16); | |
517 | fprintf(stderr, "\n*** x = "); mp_writefile(x, stderr, 16); | |
518 | fprintf(stderr, "\n*** c = "); mp_writefile(c, stderr, 16); | |
519 | fprintf(stderr, "\n*** r = "); mp_writefile(r, stderr, 16); | |
520 | fprintf(stderr, "\n"); | |
521 | ok = 0; | |
522 | } | |
523 | gfreduce_destroy(&rr); | |
524 | mp_drop(p); mp_drop(g); mp_drop(r); mp_drop(x); mp_drop(c); | |
525 | assert(mparena_count(MPARENA_GLOBAL) == 0); | |
526 | return (ok); | |
527 | } | |
528 | ||
529 | static int vsqrt(dstr *v) | |
530 | { | |
531 | mp *p = *(mp **)v[0].buf; | |
532 | mp *x = *(mp **)v[1].buf; | |
533 | mp *r = *(mp **)v[2].buf; | |
534 | mp *c; | |
535 | int ok = 1; | |
536 | gfreduce rr; | |
537 | ||
538 | gfreduce_create(&rr, p); | |
539 | c = gfreduce_sqrt(&rr, MP_NEW, x); | |
540 | if (!MP_EQ(c, r)) { | |
541 | fprintf(stderr, "\n*** sqrt failed\n*** "); | |
542 | fprintf(stderr, "\n*** p = "); mp_writefile(p, stderr, 16); | |
543 | fprintf(stderr, "\n*** x = "); mp_writefile(x, stderr, 16); | |
544 | fprintf(stderr, "\n*** c = "); mp_writefile(c, stderr, 16); | |
545 | fprintf(stderr, "\n*** r = "); mp_writefile(r, stderr, 16); | |
546 | fprintf(stderr, "\n"); | |
547 | ok = 0; | |
548 | } | |
549 | gfreduce_destroy(&rr); | |
550 | mp_drop(p); mp_drop(r); mp_drop(x); mp_drop(c); | |
551 | assert(mparena_count(MPARENA_GLOBAL) == 0); | |
552 | return (ok); | |
553 | } | |
554 | ||
555 | static int vtr(dstr *v) | |
556 | { | |
557 | mp *p = *(mp **)v[0].buf; | |
558 | mp *x = *(mp **)v[1].buf; | |
559 | int r = *(int *)v[2].buf, c; | |
560 | int ok = 1; | |
561 | gfreduce rr; | |
562 | ||
563 | gfreduce_create(&rr, p); | |
564 | c = gfreduce_trace(&rr, x); | |
565 | if (c != r) { | |
566 | fprintf(stderr, "\n*** trace failed\n*** "); | |
567 | fprintf(stderr, "\n*** p = "); mp_writefile(p, stderr, 16); | |
568 | fprintf(stderr, "\n*** x = "); mp_writefile(x, stderr, 16); | |
569 | fprintf(stderr, "\n*** c = %d", c); | |
570 | fprintf(stderr, "\n*** r = %d", r); | |
571 | fprintf(stderr, "\n"); | |
572 | ok = 0; | |
573 | } | |
574 | gfreduce_destroy(&rr); | |
45c0fd36 | 575 | mp_drop(p); mp_drop(x); |
ceb3f0c0 | 576 | assert(mparena_count(MPARENA_GLOBAL) == 0); |
577 | return (ok); | |
578 | } | |
579 | ||
580 | static int vhftr(dstr *v) | |
581 | { | |
582 | mp *p = *(mp **)v[0].buf; | |
583 | mp *x = *(mp **)v[1].buf; | |
584 | mp *r = *(mp **)v[2].buf; | |
585 | mp *c; | |
586 | int ok = 1; | |
587 | gfreduce rr; | |
588 | ||
589 | gfreduce_create(&rr, p); | |
590 | c = gfreduce_halftrace(&rr, MP_NEW, x); | |
591 | if (!MP_EQ(c, r)) { | |
592 | fprintf(stderr, "\n*** halftrace failed\n*** "); | |
593 | fprintf(stderr, "\n*** p = "); mp_writefile(p, stderr, 16); | |
594 | fprintf(stderr, "\n*** x = "); mp_writefile(x, stderr, 16); | |
595 | fprintf(stderr, "\n*** c = "); mp_writefile(c, stderr, 16); | |
596 | fprintf(stderr, "\n*** r = "); mp_writefile(r, stderr, 16); | |
597 | fprintf(stderr, "\n"); | |
598 | ok = 0; | |
599 | } | |
600 | gfreduce_destroy(&rr); | |
601 | mp_drop(p); mp_drop(r); mp_drop(x); mp_drop(c); | |
602 | assert(mparena_count(MPARENA_GLOBAL) == 0); | |
603 | return (ok); | |
604 | } | |
605 | ||
606 | static int vquad(dstr *v) | |
607 | { | |
608 | mp *p = *(mp **)v[0].buf; | |
609 | mp *x = *(mp **)v[1].buf; | |
610 | mp *r = *(mp **)v[2].buf; | |
611 | mp *c; | |
612 | int ok = 1; | |
613 | gfreduce rr; | |
614 | ||
615 | gfreduce_create(&rr, p); | |
616 | c = gfreduce_quadsolve(&rr, MP_NEW, x); | |
617 | if (!MP_EQ(c, r)) { | |
618 | fprintf(stderr, "\n*** quadsolve failed\n*** "); | |
619 | fprintf(stderr, "\n*** p = "); mp_writefile(p, stderr, 16); | |
620 | fprintf(stderr, "\n*** x = "); mp_writefile(x, stderr, 16); | |
621 | fprintf(stderr, "\n*** c = "); mp_writefile(c, stderr, 16); | |
622 | fprintf(stderr, "\n*** r = "); mp_writefile(r, stderr, 16); | |
623 | fprintf(stderr, "\n"); | |
624 | ok = 0; | |
625 | } | |
626 | gfreduce_destroy(&rr); | |
627 | mp_drop(p); mp_drop(r); mp_drop(x); mp_drop(c); | |
628 | assert(mparena_count(MPARENA_GLOBAL) == 0); | |
629 | return (ok); | |
630 | } | |
631 | ||
632 | static test_chunk defs[] = { | |
633 | { "reduce", vreduce, { &type_mp, &type_mp, &type_mp, 0 } }, | |
634 | { "modexp", vmodexp, { &type_mp, &type_mp, &type_mp, &type_mp, 0 } }, | |
635 | { "sqrt", vsqrt, { &type_mp, &type_mp, &type_mp, 0 } }, | |
636 | { "trace", vtr, { &type_mp, &type_mp, &type_int, 0 } }, | |
637 | { "halftrace", vhftr, { &type_mp, &type_mp, &type_mp, 0 } }, | |
638 | { "quadsolve", vquad, { &type_mp, &type_mp, &type_mp, 0 } }, | |
639 | { 0, 0, { 0 } } | |
640 | }; | |
641 | ||
642 | int main(int argc, char *argv[]) | |
643 | { | |
0f00dc4c | 644 | test_run(argc, argv, defs, SRCDIR"/t/gfreduce"); |
ceb3f0c0 | 645 | return (0); |
646 | } | |
647 | ||
648 | #endif | |
649 | ||
650 | /*----- That's all, folks -------------------------------------------------*/ |