5 * Prime generation glue
7 * (c) 1999 Straylight/Edgeware
10 /*----- Licensing notice --------------------------------------------------*
12 * This file is part of Catacomb.
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.
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.
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,
30 /*----- Header files ------------------------------------------------------*/
45 /*----- Standard prime filter ---------------------------------------------*/
47 /* --- @pgen_filter@ --- */
49 int pgen_filter(int rq
, pgen_event
*ev
, void *p
)
51 pgen_filterctx
*f
= p
;
56 rc
= pfilt_create(&f
->f
, ev
->m
);
70 if (rc
== PGEN_FAIL
&& !((f
->step
| f
->f
.m
->v
[0]) & 1))
71 rc
= pfilt_step(&f
->f
, 1);
72 while (rc
== PGEN_FAIL
)
73 rc
= pfilt_step(&f
->f
, f
->step
);
74 ev
->m
= MP_COPY(f
->f
.m
);
78 /* --- @pgen_jump@ --- *
80 * Similar to the standard @pgen_filter@, but jumps in large steps rather
84 int pgen_jump(int rq
, pgen_event
*ev
, void *p
)
92 mp_gcd(&g
, 0, 0, ev
->m
, f
->j
->m
);
93 if (MP_CMP(g
, >, MP_ONE
)) {
98 rc
= pfilt_create(&f
->f
, ev
->m
);
103 rc
= pfilt_jump(&f
->f
, f
->j
);
106 pfilt_destroy(&f
->f
);
110 while (rc
== PGEN_FAIL
)
111 rc
= pfilt_jump(&f
->f
, f
->j
);
112 ev
->m
= MP_COPY(f
->f
.m
);
116 /*----- Standard prime test -----------------------------------------------*/
118 /* --- @pgen_test@ --- */
120 int pgen_test(int rq
, pgen_event
*ev
, void *p
)
127 rabin_create(r
, ev
->m
);
132 rc
= rabin_rtest(r
, MP_TWO
);
134 mp
*a
= mprand_range(MP_NEW
, ev
->m
, ev
->r
, 0);
135 rc
= rabin_rtest(r
, a
);
148 /*----- The main driver ---------------------------------------------------*/
152 * Arguments: @const char *name@ = name of the value being searched for
153 * @mp *d@ = destination for the result integer
154 * @mp *m@ = start value to pass to stepper
155 * @pgen_proc *event@ = event handler function
156 * @void *ectx@ = context argument for event andler
157 * @unsigned steps@ = number of steps to take in search
158 * @pgen_proc *step@ = stepper function to use
159 * @void *sctx@ = context argument for stepper
160 * @unsigned tests@ = number of tests to make
161 * @pgen_proc *test@ = tester function to use
162 * @void *tctx@ = context argument for tester
164 * Returns: Pointer to final result, or null.
166 * Use: A generalized prime-number search skeleton. Yes, that's a
167 * scary number of arguments.
170 mp
*pgen(const char *name
, mp
*d
, mp
*m
, pgen_proc
*event
, void *ectx
,
171 unsigned steps
, pgen_proc
*step
, void *sctx
,
172 unsigned tests
, pgen_proc
*test
, void *tctx
)
180 enum { P_STEP
, P_TEST
};
182 /* --- Set up the initial event block --- */
191 ev
.r
= fibrand_create(0);
193 /* --- Tell the event handler we're under way --- */
195 if (event
&& event(PGEN_BEGIN
, &ev
, ectx
) == PGEN_ABORT
) {
196 ev
.r
->ops
->destroy(ev
.r
);
200 /* --- Set up for the initial call --- */
202 proc
= step
; ctx
= sctx
; p
= P_STEP
; rq
= PGEN_BEGIN
;
204 /* --- Enter the great maelstrom of state transitions --- */
213 #define A_ENDSTEP 16u
216 /* --- Call the procedure and decide what to do next --- */
218 rc
= proc(rq
, &ev
, ctx
);
225 proc
= test
; ctx
= tctx
; p
= P_TEST
;
230 act
|= A_TEST
| A_EVENT
;
234 proc
= test
; ctx
= tctx
; p
= P_TEST
;
241 act
|= A_ENDTEST
| A_EVENT
;
242 proc
= step
; ctx
= sctx
; p
= P_STEP
;
247 act
|= A_EVENT
| A_DONE
| A_ENDSTEP
;
252 act
|= A_EVENT
| A_DONE
;
253 if (p
== P_TEST
|| rq
== PGEN_TRY
)
255 if (p
== P_TEST
&& rq
!= PGEN_BEGIN
)
259 assert(((void)"Invalid response from function", 0));
263 /* --- If decrementing counters is requested, do that --- */
265 if ((act
& A_STEP
) && steps
) {
267 if (ev
.steps
== steps
) {
268 act
|= A_EVENT
| A_ENDSTEP
| A_DONE
;
274 if ((act
& A_TEST
) && tests
) {
276 if (ev
.tests
== tests
) {
277 act
|= A_ENDTEST
| A_ENDSTEP
| A_DONE
;
282 /* --- Report an event if so directed --- */
284 if ((act
& A_EVENT
) && event
&& event(rc
, &ev
, ectx
) == PGEN_ABORT
) {
286 if (!(act
& A_DONE
)) {
287 act
|= A_ENDSTEP
| A_DONE
;
293 /* --- Close down tester and stepper functions --- */
296 test(PGEN_DONE
, &ev
, tctx
);
298 step(PGEN_DONE
, &ev
, sctx
);
300 /* --- Stop the entire test if necessary --- */
306 /* --- Tidy up and return --- */
308 if (rc
== PGEN_ABORT
) {
312 ev
.r
->ops
->destroy(ev
.r
);
318 /* --- @pgen_primep@ --- *
320 * Arguments: @mp *p@ = a number to check
321 * @grand *gr@ = a random number source
323 * Returns: Nonzero if @p@ is really prime.
326 int pgen_primep(mp
*p
, grand
*gr
)
332 if (MP_NEGP(p
)) return (0);
333 switch (pfilt_smallfactor(p
)) {
334 case PGEN_DONE
: return (1);
335 case PGEN_FAIL
: return (0);
338 for (i
= 32; i
; i
--) {
339 x
= mprand_range(x
, p
, gr
, 0);
340 if (rabin_rtest(&r
, x
) == PGEN_FAIL
)
348 /*----- Test rig ----------------------------------------------------------*/
352 #include <mLib/testrig.h>
354 static int verify(dstr
*v
)
356 mp
*m
= *(mp
**)v
[0].buf
;
357 mp
*q
= *(mp
**)v
[1].buf
;
365 p
= pgen("p", MP_NEW
, m
, pgen_evspin
, 0, 0, pgen_filter
, &pf
,
366 rabin_iters(mp_bits(m
)), pgen_test
, &r
);
367 if (!p
|| !MP_EQ(p
, q
)) {
368 fputs("\n*** pgen failed", stderr
);
369 fputs("\nm = ", stderr
); mp_writefile(m
, stderr
, 10);
370 fputs("\np = ", stderr
); mp_writefile(p
, stderr
, 10);
371 fputs("\nq = ", stderr
); mp_writefile(q
, stderr
, 10);
379 assert(mparena_count(MPARENA_GLOBAL
) == 0);
383 static test_chunk tests
[] = {
384 { "pgen", verify
, { &type_mp
, &type_mp
, 0 } },
388 int main(int argc
, char *argv
[])
391 test_run(argc
, argv
, tests
, SRCDIR
"/tests/pgen");
396 /*----- That's all, folks -------------------------------------------------*/