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1 | /* -*-c-*- |
2 | * |
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3 | * $Id$ |
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4 | * |
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5 | * Prime generation glue |
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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 | |
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30 | /*----- Header files ------------------------------------------------------*/ |
31 | |
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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" |
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39 | #include "mp.h" |
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40 | #include "mprand.h" |
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41 | #include "pgen.h" |
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42 | #include "pfilt.h" |
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43 | #include "rabin.h" |
44 | |
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45 | /*----- Standard prime filter ---------------------------------------------*/ |
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46 | |
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47 | /* --- @pgen_filter@ --- */ |
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48 | |
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49 | int pgen_filter(int rq, pgen_event *ev, void *p) |
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50 | { |
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51 | pgen_filterctx *f = p; |
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52 | int rc = PGEN_FAIL; |
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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); |
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61 | break; |
62 | case PGEN_DONE: |
63 | pfilt_destroy(&f->f); |
64 | return (PGEN_DONE); |
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65 | default: |
66 | rc = PGEN_ABORT; |
67 | break; |
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68 | } |
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69 | |
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70 | if (rc == PGEN_FAIL && !((f->step | f->f.m->v[0]) & 1)) |
71 | rc = pfilt_step(&f->f, 1); |
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72 | while (rc == PGEN_FAIL) |
73 | rc = pfilt_step(&f->f, f->step); |
74 | ev->m = MP_COPY(f->f.m); |
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75 | return (rc); |
76 | } |
77 | |
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78 | /* --- @pgen_jump@ --- * |
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79 | * |
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80 | * Similar to the standard @pgen_filter@, but jumps in large steps rather |
81 | * than small ones. |
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82 | */ |
83 | |
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84 | int pgen_jump(int rq, pgen_event *ev, void *p) |
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85 | { |
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86 | pgen_jumpctx *f = p; |
87 | int rc = PGEN_ABORT; |
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88 | |
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89 | switch (rq) { |
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90 | case PGEN_BEGIN: { |
91 | mp *g = MP_NEW; |
92 | mp_gcd(&g, 0, 0, ev->m, f->j->m); |
93 | if (MP_CMP(g, >, MP_ONE)) { |
94 | mp_drop(g); |
95 | return (PGEN_ABORT); |
96 | } |
97 | mp_drop(g); |
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98 | rc = pfilt_create(&f->f, ev->m); |
99 | mp_drop(ev->m); |
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100 | } break; |
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101 | case PGEN_TRY: |
102 | mp_drop(ev->m); |
103 | rc = pfilt_jump(&f->f, f->j); |
104 | break; |
105 | case PGEN_DONE: |
106 | pfilt_destroy(&f->f); |
107 | return (PGEN_DONE); |
108 | } |
109 | |
110 | while (rc == PGEN_FAIL) |
111 | rc = pfilt_jump(&f->f, f->j); |
112 | ev->m = MP_COPY(f->f.m); |
113 | return (rc); |
114 | } |
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115 | |
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116 | /*----- Standard prime test -----------------------------------------------*/ |
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117 | |
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118 | /* --- @pgen_test@ --- */ |
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119 | |
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120 | int pgen_test(int rq, pgen_event *ev, void *p) |
121 | { |
122 | rabin *r = p; |
123 | int rc = PGEN_ABORT; |
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124 | |
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125 | switch (rq) { |
126 | case PGEN_BEGIN: |
127 | rabin_create(r, ev->m); |
128 | rc = PGEN_TRY; |
129 | break; |
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130 | case PGEN_TRY: |
131 | if (!ev->tests) |
132 | rc = rabin_rtest(r, MP_TWO); |
133 | else { |
134 | mp *a = mprand_range(MP_NEW, ev->m, ev->r, 0); |
135 | rc = rabin_rtest(r, a); |
136 | mp_drop(a); |
137 | } |
138 | break; |
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139 | case PGEN_DONE: |
140 | rabin_destroy(r); |
141 | rc = PGEN_DONE; |
142 | break; |
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143 | } |
144 | |
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145 | return (rc); |
146 | } |
147 | |
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148 | /*----- The main driver ---------------------------------------------------*/ |
149 | |
150 | /* --- @pgen@ --- * |
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151 | * |
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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 |
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163 | * |
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164 | * Returns: Pointer to final result, or null. |
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165 | * |
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166 | * Use: A generalized prime-number search skeleton. Yes, that's a |
167 | * scary number of arguments. |
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168 | */ |
169 | |
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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) |
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173 | { |
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174 | pgen_event ev; |
175 | int rq, rc; |
176 | pgen_proc *proc; |
177 | void *ctx; |
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178 | int p; |
179 | |
180 | enum { P_STEP, P_TEST }; |
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181 | |
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182 | /* --- Set up the initial event block --- */ |
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183 | |
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184 | ev.name = name; |
185 | if (m) |
186 | ev.m = MP_COPY(m); |
187 | else |
188 | ev.m = 0; |
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189 | ev.steps = 0; |
190 | ev.tests = 0; |
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191 | ev.r = fibrand_create(0); |
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192 | |
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193 | /* --- Tell the event handler we're under way --- */ |
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194 | |
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195 | if (event && event(PGEN_BEGIN, &ev, ectx) == PGEN_ABORT) { |
196 | ev.r->ops->destroy(ev.r); |
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197 | return (0); |
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198 | } |
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199 | |
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200 | /* --- Set up for the initial call --- */ |
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201 | |
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202 | proc = step; ctx = sctx; p = P_STEP; rq = PGEN_BEGIN; |
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203 | |
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204 | /* --- Enter the great maelstrom of state transitions --- */ |
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205 | |
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206 | for (;;) { |
207 | unsigned act = 0; |
208 | |
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209 | #define A_STEP 1u |
210 | #define A_TEST 2u |
211 | #define A_EVENT 4u |
212 | #define A_ENDTEST 8u |
213 | #define A_ENDSTEP 16u |
214 | #define A_DONE 32u |
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215 | |
216 | /* --- Call the procedure and decide what to do next --- */ |
217 | |
218 | rc = proc(rq, &ev, ctx); |
219 | switch (rc) { |
220 | case PGEN_TRY: |
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221 | if (p == P_TEST) |
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222 | rq = PGEN_TRY; |
223 | else { |
224 | act |= A_EVENT; |
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225 | proc = test; ctx = tctx; p = P_TEST; |
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226 | rq = PGEN_BEGIN; |
227 | } |
228 | break; |
229 | case PGEN_PASS: |
230 | act |= A_TEST | A_EVENT; |
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231 | if (p == P_TEST) |
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232 | rq = PGEN_TRY; |
233 | else { |
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234 | proc = test; ctx = tctx; p = P_TEST; |
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235 | rq = PGEN_BEGIN; |
236 | } |
237 | break; |
238 | case PGEN_FAIL: |
239 | act |= A_STEP; |
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240 | if (p == P_TEST) { |
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241 | act |= A_ENDTEST | A_EVENT; |
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242 | proc = step; ctx = sctx; p = P_STEP; |
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243 | } |
244 | rq = PGEN_TRY; |
245 | break; |
246 | case PGEN_DONE: |
247 | act |= A_EVENT | A_DONE | A_ENDSTEP; |
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248 | if (p == P_TEST) |
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249 | act |= A_ENDTEST; |
250 | break; |
251 | case PGEN_ABORT: |
252 | act |= A_EVENT | A_DONE; |
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253 | if (p == P_TEST || rq == PGEN_TRY) |
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254 | act |= A_ENDSTEP; |
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255 | if (p == P_TEST && rq != PGEN_BEGIN) |
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256 | act |= A_ENDTEST; |
257 | break; |
258 | default: |
259 | assert(((void)"Invalid response from function", 0)); |
260 | break; |
261 | } |
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262 | |
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263 | /* --- If decrementing counters is requested, do that --- */ |
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264 | |
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265 | if ((act & A_STEP) && steps) { |
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266 | ev.steps++; |
267 | if (ev.steps == steps) { |
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268 | act |= A_EVENT | A_ENDSTEP | A_DONE; |
269 | rc = PGEN_ABORT; |
270 | } |
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271 | ev.tests = 0; |
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272 | } |
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273 | |
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274 | if ((act & A_TEST) && tests) { |
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275 | ev.tests++; |
276 | if (ev.tests == tests) { |
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277 | act |= A_ENDTEST | A_ENDSTEP | A_DONE; |
278 | rc = PGEN_DONE; |
279 | } |
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280 | } |
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281 | |
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282 | /* --- Report an event if so directed --- */ |
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283 | |
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284 | if ((act & A_EVENT) && event && event(rc, &ev, ectx) == PGEN_ABORT) { |
285 | rc = PGEN_ABORT; |
286 | if (!(act & A_DONE)) { |
287 | act |= A_ENDSTEP | A_DONE; |
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288 | if (p == P_TEST) |
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289 | act |= A_ENDTEST; |
290 | } |
291 | } |
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292 | |
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293 | /* --- Close down tester and stepper functions --- */ |
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294 | |
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295 | if (act & A_ENDTEST) |
296 | test(PGEN_DONE, &ev, tctx); |
297 | if (act & A_ENDSTEP) |
298 | step(PGEN_DONE, &ev, sctx); |
299 | |
300 | /* --- Stop the entire test if necessary --- */ |
301 | |
302 | if (act & A_DONE) |
303 | break; |
304 | } |
305 | |
306 | /* --- Tidy up and return --- */ |
307 | |
308 | if (rc == PGEN_ABORT) { |
309 | mp_drop(ev.m); |
310 | ev.m = 0; |
311 | } |
312 | ev.r->ops->destroy(ev.r); |
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313 | mp_drop(d); |
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314 | |
315 | return (ev.m); |
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316 | } |
317 | |
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318 | /* --- @pgen_primep@ --- * |
319 | * |
320 | * Arguments: @mp *p@ = a number to check |
321 | * @grand *gr@ = a random number source |
322 | * |
323 | * Returns: Nonzero if @p@ is really prime. |
324 | */ |
325 | |
326 | int pgen_primep(mp *p, grand *gr) |
327 | { |
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328 | int i; |
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329 | rabin r; |
330 | mp *x = MP_NEW; |
331 | |
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332 | if (MP_NEGP(p)) return (0); |
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333 | switch (pfilt_smallfactor(p)) { |
334 | case PGEN_DONE: return (1); |
335 | case PGEN_FAIL: return (0); |
336 | } |
337 | rabin_create(&r, p); |
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338 | for (i = 32; i; i--) { |
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339 | x = mprand_range(x, p, gr, 0); |
340 | if (rabin_rtest(&r, x) == PGEN_FAIL) |
341 | break; |
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342 | } |
343 | MP_DROP(x); |
344 | rabin_destroy(&r); |
345 | return (!i); |
346 | } |
347 | |
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348 | /*----- Test rig ----------------------------------------------------------*/ |
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349 | |
350 | #ifdef TEST_RIG |
351 | |
352 | #include <mLib/testrig.h> |
353 | |
354 | static int verify(dstr *v) |
355 | { |
356 | mp *m = *(mp **)v[0].buf; |
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357 | mp *q = *(mp **)v[1].buf; |
358 | mp *p; |
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359 | int ok = 1; |
360 | |
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361 | pgen_filterctx pf; |
362 | rabin r; |
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363 | |
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364 | pf.step = 2; |
365 | p = pgen("p", MP_NEW, m, pgen_evspin, 0, 0, pgen_filter, &pf, |
366 | rabin_iters(mp_bits(m)), pgen_test, &r); |
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367 | if (!p || !MP_EQ(p, q)) { |
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368 | fputs("\n*** pgen failed", stderr); |
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369 | fputs("\nm = ", stderr); mp_writefile(m, stderr, 10); |
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370 | fputs("\np = ", stderr); mp_writefile(p, stderr, 10); |
371 | fputs("\nq = ", stderr); mp_writefile(q, stderr, 10); |
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372 | fputc('\n', stderr); |
373 | ok = 0; |
374 | } |
375 | |
376 | mp_drop(m); |
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377 | mp_drop(q); |
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378 | mp_drop(p); |
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379 | assert(mparena_count(MPARENA_GLOBAL) == 0); |
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380 | return (ok); |
381 | } |
382 | |
383 | static test_chunk tests[] = { |
384 | { "pgen", verify, { &type_mp, &type_mp, 0 } }, |
385 | { 0, 0, { 0 } } |
386 | }; |
387 | |
388 | int main(int argc, char *argv[]) |
389 | { |
390 | sub_init(); |
391 | test_run(argc, argv, tests, SRCDIR "/tests/pgen"); |
392 | return (0); |
393 | } |
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394 | #endif |
395 | |
396 | /*----- That's all, folks -------------------------------------------------*/ |