0f5ec153 |
1 | /* -*-c-*- |
2 | * |
a69a3efd |
3 | * $Id$ |
0f5ec153 |
4 | * |
581c854e |
5 | * Prime generation glue |
0f5ec153 |
6 | * |
7 | * (c) 1999 Straylight/Edgeware |
8 | */ |
9 | |
10 | /*----- Licensing notice --------------------------------------------------* |
11 | * |
12 | * This file is part of Catacomb. |
13 | * |
14 | * Catacomb is free software; you can redistribute it and/or modify |
15 | * it under the terms of the GNU Library General Public License as |
16 | * published by the Free Software Foundation; either version 2 of the |
17 | * License, or (at your option) any later version. |
18 | * |
19 | * Catacomb is distributed in the hope that it will be useful, |
20 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
21 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
22 | * GNU Library General Public License for more details. |
23 | * |
24 | * You should have received a copy of the GNU Library General Public |
25 | * License along with Catacomb; if not, write to the Free |
26 | * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, |
27 | * MA 02111-1307, USA. |
28 | */ |
29 | |
0f5ec153 |
30 | /*----- Header files ------------------------------------------------------*/ |
31 | |
581c854e |
32 | #include <assert.h> |
33 | #include <stdio.h> |
34 | #include <stdlib.h> |
35 | #include <string.h> |
36 | |
37 | #include "fibrand.h" |
38 | #include "grand.h" |
0f5ec153 |
39 | #include "mp.h" |
581c854e |
40 | #include "mprand.h" |
0f5ec153 |
41 | #include "pgen.h" |
581c854e |
42 | #include "pfilt.h" |
0f5ec153 |
43 | #include "rabin.h" |
44 | |
581c854e |
45 | /*----- Standard prime filter ---------------------------------------------*/ |
0f5ec153 |
46 | |
581c854e |
47 | /* --- @pgen_filter@ --- */ |
0f5ec153 |
48 | |
581c854e |
49 | int pgen_filter(int rq, pgen_event *ev, void *p) |
0f5ec153 |
50 | { |
581c854e |
51 | pgen_filterctx *f = p; |
52 | int rc = PGEN_ABORT; |
53 | |
54 | switch (rq) { |
55 | case PGEN_BEGIN: |
56 | rc = pfilt_create(&f->f, ev->m); |
57 | mp_drop(ev->m); |
58 | break; |
59 | case PGEN_TRY: |
60 | mp_drop(ev->m); |
61 | if (!((f->step | f->f.m->v[0]) & 1)) |
62 | rc = pfilt_step(&f->f, 1); |
0f5ec153 |
63 | else |
581c854e |
64 | rc = pfilt_step(&f->f, f->step); |
65 | break; |
66 | case PGEN_DONE: |
67 | pfilt_destroy(&f->f); |
68 | return (PGEN_DONE); |
0f5ec153 |
69 | } |
581c854e |
70 | |
71 | while (rc == PGEN_FAIL) |
72 | rc = pfilt_step(&f->f, f->step); |
73 | ev->m = MP_COPY(f->f.m); |
0f5ec153 |
74 | return (rc); |
75 | } |
76 | |
581c854e |
77 | /* --- @pgen_jump@ --- * |
0f5ec153 |
78 | * |
581c854e |
79 | * Similar to the standard @pgen_filter@, but jumps in large steps rather |
80 | * than small ones. |
0f5ec153 |
81 | */ |
82 | |
581c854e |
83 | int pgen_jump(int rq, pgen_event *ev, void *p) |
0f5ec153 |
84 | { |
581c854e |
85 | pgen_jumpctx *f = p; |
86 | int rc = PGEN_ABORT; |
0f5ec153 |
87 | |
581c854e |
88 | switch (rq) { |
8b021c3f |
89 | case PGEN_BEGIN: { |
90 | mp *g = MP_NEW; |
91 | mp_gcd(&g, 0, 0, ev->m, f->j->m); |
92 | if (MP_CMP(g, >, MP_ONE)) { |
93 | mp_drop(g); |
94 | return (PGEN_ABORT); |
95 | } |
96 | mp_drop(g); |
581c854e |
97 | rc = pfilt_create(&f->f, ev->m); |
98 | mp_drop(ev->m); |
8b021c3f |
99 | } break; |
581c854e |
100 | case PGEN_TRY: |
101 | mp_drop(ev->m); |
102 | rc = pfilt_jump(&f->f, f->j); |
103 | break; |
104 | case PGEN_DONE: |
105 | pfilt_destroy(&f->f); |
106 | return (PGEN_DONE); |
107 | } |
108 | |
109 | while (rc == PGEN_FAIL) |
110 | rc = pfilt_jump(&f->f, f->j); |
111 | ev->m = MP_COPY(f->f.m); |
112 | return (rc); |
113 | } |
0f5ec153 |
114 | |
581c854e |
115 | /*----- Standard prime test -----------------------------------------------*/ |
0f5ec153 |
116 | |
581c854e |
117 | /* --- @pgen_test@ --- */ |
0f5ec153 |
118 | |
581c854e |
119 | int pgen_test(int rq, pgen_event *ev, void *p) |
120 | { |
121 | rabin *r = p; |
122 | int rc = PGEN_ABORT; |
0f5ec153 |
123 | |
581c854e |
124 | switch (rq) { |
125 | case PGEN_BEGIN: |
126 | rabin_create(r, ev->m); |
127 | rc = PGEN_TRY; |
128 | break; |
283b9af0 |
129 | case PGEN_TRY: |
130 | if (!ev->tests) |
131 | rc = rabin_rtest(r, MP_TWO); |
132 | else { |
133 | mp *a = mprand_range(MP_NEW, ev->m, ev->r, 0); |
134 | rc = rabin_rtest(r, a); |
135 | mp_drop(a); |
136 | } |
137 | break; |
581c854e |
138 | case PGEN_DONE: |
139 | rabin_destroy(r); |
140 | rc = PGEN_DONE; |
141 | break; |
0f5ec153 |
142 | } |
143 | |
0f5ec153 |
144 | return (rc); |
145 | } |
146 | |
581c854e |
147 | /*----- The main driver ---------------------------------------------------*/ |
148 | |
149 | /* --- @pgen@ --- * |
bd98b2df |
150 | * |
581c854e |
151 | * Arguments: @const char *name@ = name of the value being searched for |
152 | * @mp *d@ = destination for the result integer |
153 | * @mp *m@ = start value to pass to stepper |
154 | * @pgen_proc *event@ = event handler function |
155 | * @void *ectx@ = context argument for event andler |
156 | * @unsigned steps@ = number of steps to take in search |
157 | * @pgen_proc *step@ = stepper function to use |
158 | * @void *sctx@ = context argument for stepper |
159 | * @unsigned tests@ = number of tests to make |
160 | * @pgen_proc *test@ = tester function to use |
161 | * @void *tctx@ = context argument for tester |
bd98b2df |
162 | * |
581c854e |
163 | * Returns: Pointer to final result, or null. |
bd98b2df |
164 | * |
581c854e |
165 | * Use: A generalized prime-number search skeleton. Yes, that's a |
166 | * scary number of arguments. |
bd98b2df |
167 | */ |
168 | |
581c854e |
169 | mp *pgen(const char *name, mp *d, mp *m, pgen_proc *event, void *ectx, |
170 | unsigned steps, pgen_proc *step, void *sctx, |
171 | unsigned tests, pgen_proc *test, void *tctx) |
bd98b2df |
172 | { |
581c854e |
173 | pgen_event ev; |
174 | int rq, rc; |
175 | pgen_proc *proc; |
176 | void *ctx; |
4108c8d2 |
177 | int p; |
178 | |
179 | enum { P_STEP, P_TEST }; |
bd98b2df |
180 | |
581c854e |
181 | /* --- Set up the initial event block --- */ |
bd98b2df |
182 | |
581c854e |
183 | ev.name = name; |
184 | if (m) |
185 | ev.m = MP_COPY(m); |
186 | else |
187 | ev.m = 0; |
283b9af0 |
188 | ev.steps = 0; |
189 | ev.tests = 0; |
581c854e |
190 | ev.r = fibrand_create(0); |
bd98b2df |
191 | |
581c854e |
192 | /* --- Tell the event handler we're under way --- */ |
bd98b2df |
193 | |
4108c8d2 |
194 | if (event && event(PGEN_BEGIN, &ev, ectx) == PGEN_ABORT) { |
195 | ev.r->ops->destroy(ev.r); |
581c854e |
196 | return (0); |
4108c8d2 |
197 | } |
bd98b2df |
198 | |
581c854e |
199 | /* --- Set up for the initial call --- */ |
bd98b2df |
200 | |
4108c8d2 |
201 | proc = step; ctx = sctx; p = P_STEP; rq = PGEN_BEGIN; |
0f5ec153 |
202 | |
581c854e |
203 | /* --- Enter the great maelstrom of state transitions --- */ |
0f5ec153 |
204 | |
581c854e |
205 | for (;;) { |
206 | unsigned act = 0; |
207 | |
4108c8d2 |
208 | #define A_STEP 1u |
209 | #define A_TEST 2u |
210 | #define A_EVENT 4u |
211 | #define A_ENDTEST 8u |
212 | #define A_ENDSTEP 16u |
213 | #define A_DONE 32u |
581c854e |
214 | |
215 | /* --- Call the procedure and decide what to do next --- */ |
216 | |
217 | rc = proc(rq, &ev, ctx); |
218 | switch (rc) { |
219 | case PGEN_TRY: |
4108c8d2 |
220 | if (p == P_TEST) |
581c854e |
221 | rq = PGEN_TRY; |
222 | else { |
223 | act |= A_EVENT; |
4108c8d2 |
224 | proc = test; ctx = tctx; p = P_TEST; |
581c854e |
225 | rq = PGEN_BEGIN; |
226 | } |
227 | break; |
228 | case PGEN_PASS: |
229 | act |= A_TEST | A_EVENT; |
4108c8d2 |
230 | if (p == P_TEST) |
581c854e |
231 | rq = PGEN_TRY; |
232 | else { |
4108c8d2 |
233 | proc = test; ctx = tctx; p = P_TEST; |
581c854e |
234 | rq = PGEN_BEGIN; |
235 | } |
236 | break; |
237 | case PGEN_FAIL: |
238 | act |= A_STEP; |
4108c8d2 |
239 | if (p == P_TEST) { |
581c854e |
240 | act |= A_ENDTEST | A_EVENT; |
4108c8d2 |
241 | proc = step; ctx = sctx; p = P_STEP; |
581c854e |
242 | } |
243 | rq = PGEN_TRY; |
244 | break; |
245 | case PGEN_DONE: |
246 | act |= A_EVENT | A_DONE | A_ENDSTEP; |
4108c8d2 |
247 | if (p == P_TEST) |
581c854e |
248 | act |= A_ENDTEST; |
249 | break; |
250 | case PGEN_ABORT: |
251 | act |= A_EVENT | A_DONE; |
4108c8d2 |
252 | if (p == P_TEST || rq == PGEN_TRY) |
581c854e |
253 | act |= A_ENDSTEP; |
4108c8d2 |
254 | if (p == P_TEST && rq != PGEN_BEGIN) |
581c854e |
255 | act |= A_ENDTEST; |
256 | break; |
257 | default: |
258 | assert(((void)"Invalid response from function", 0)); |
259 | break; |
260 | } |
0f5ec153 |
261 | |
581c854e |
262 | /* --- If decrementing counters is requested, do that --- */ |
0f5ec153 |
263 | |
581c854e |
264 | if ((act & A_STEP) && steps) { |
283b9af0 |
265 | ev.steps++; |
266 | if (ev.steps == steps) { |
581c854e |
267 | act |= A_EVENT | A_ENDSTEP | A_DONE; |
268 | rc = PGEN_ABORT; |
269 | } |
283b9af0 |
270 | ev.tests = 0; |
581c854e |
271 | } |
0f5ec153 |
272 | |
581c854e |
273 | if ((act & A_TEST) && tests) { |
283b9af0 |
274 | ev.tests++; |
275 | if (ev.tests == tests) { |
581c854e |
276 | act |= A_ENDTEST | A_ENDSTEP | A_DONE; |
277 | rc = PGEN_DONE; |
278 | } |
0f5ec153 |
279 | } |
0f5ec153 |
280 | |
581c854e |
281 | /* --- Report an event if so directed --- */ |
bd98b2df |
282 | |
581c854e |
283 | if ((act & A_EVENT) && event && event(rc, &ev, ectx) == PGEN_ABORT) { |
284 | rc = PGEN_ABORT; |
285 | if (!(act & A_DONE)) { |
286 | act |= A_ENDSTEP | A_DONE; |
4108c8d2 |
287 | if (p == P_TEST) |
581c854e |
288 | act |= A_ENDTEST; |
289 | } |
290 | } |
bd98b2df |
291 | |
581c854e |
292 | /* --- Close down tester and stepper functions --- */ |
0f5ec153 |
293 | |
581c854e |
294 | if (act & A_ENDTEST) |
295 | test(PGEN_DONE, &ev, tctx); |
296 | if (act & A_ENDSTEP) |
297 | step(PGEN_DONE, &ev, sctx); |
298 | |
299 | /* --- Stop the entire test if necessary --- */ |
300 | |
301 | if (act & A_DONE) |
302 | break; |
303 | } |
304 | |
305 | /* --- Tidy up and return --- */ |
306 | |
307 | if (rc == PGEN_ABORT) { |
308 | mp_drop(ev.m); |
309 | ev.m = 0; |
310 | } |
311 | ev.r->ops->destroy(ev.r); |
eab06f16 |
312 | mp_drop(d); |
581c854e |
313 | |
314 | return (ev.m); |
0f5ec153 |
315 | } |
316 | |
34e4f738 |
317 | /* --- @pgen_primep@ --- * |
318 | * |
319 | * Arguments: @mp *p@ = a number to check |
320 | * @grand *gr@ = a random number source |
321 | * |
322 | * Returns: Nonzero if @p@ is really prime. |
323 | */ |
324 | |
325 | int pgen_primep(mp *p, grand *gr) |
326 | { |
4108c8d2 |
327 | int i; |
34e4f738 |
328 | rabin r; |
329 | mp *x = MP_NEW; |
330 | |
a69a3efd |
331 | if (MP_NEGP(p)) return (0); |
34e4f738 |
332 | switch (pfilt_smallfactor(p)) { |
333 | case PGEN_DONE: return (1); |
334 | case PGEN_FAIL: return (0); |
335 | } |
336 | rabin_create(&r, p); |
4108c8d2 |
337 | for (i = 32; i; i--) { |
34e4f738 |
338 | x = mprand_range(x, p, gr, 0); |
339 | if (rabin_rtest(&r, x) == PGEN_FAIL) |
340 | break; |
34e4f738 |
341 | } |
342 | MP_DROP(x); |
343 | rabin_destroy(&r); |
344 | return (!i); |
345 | } |
346 | |
581c854e |
347 | /*----- Test rig ----------------------------------------------------------*/ |
0f5ec153 |
348 | |
349 | #ifdef TEST_RIG |
350 | |
351 | #include <mLib/testrig.h> |
352 | |
353 | static int verify(dstr *v) |
354 | { |
355 | mp *m = *(mp **)v[0].buf; |
581c854e |
356 | mp *q = *(mp **)v[1].buf; |
357 | mp *p; |
0f5ec153 |
358 | int ok = 1; |
359 | |
581c854e |
360 | pgen_filterctx pf; |
361 | rabin r; |
0f5ec153 |
362 | |
581c854e |
363 | pf.step = 2; |
364 | p = pgen("p", MP_NEW, m, pgen_evspin, 0, 0, pgen_filter, &pf, |
365 | rabin_iters(mp_bits(m)), pgen_test, &r); |
22bab86c |
366 | if (!p || !MP_EQ(p, q)) { |
581c854e |
367 | fputs("\n*** pgen failed", stderr); |
0f5ec153 |
368 | fputs("\nm = ", stderr); mp_writefile(m, stderr, 10); |
581c854e |
369 | fputs("\np = ", stderr); mp_writefile(p, stderr, 10); |
370 | fputs("\nq = ", stderr); mp_writefile(q, stderr, 10); |
0f5ec153 |
371 | fputc('\n', stderr); |
372 | ok = 0; |
373 | } |
374 | |
375 | mp_drop(m); |
581c854e |
376 | mp_drop(q); |
eab06f16 |
377 | mp_drop(p); |
d94f85ac |
378 | assert(mparena_count(MPARENA_GLOBAL) == 0); |
0f5ec153 |
379 | return (ok); |
380 | } |
381 | |
382 | static test_chunk tests[] = { |
383 | { "pgen", verify, { &type_mp, &type_mp, 0 } }, |
384 | { 0, 0, { 0 } } |
385 | }; |
386 | |
387 | int main(int argc, char *argv[]) |
388 | { |
389 | sub_init(); |
390 | test_run(argc, argv, tests, SRCDIR "/tests/pgen"); |
391 | return (0); |
392 | } |
0f5ec153 |
393 | #endif |
394 | |
395 | /*----- That's all, folks -------------------------------------------------*/ |