From: mdw Date: Sat, 17 Jun 2000 11:51:53 +0000 (+0000) Subject: Filter which imposes additional restrictions on GCD of %$(p - 1)/2$% X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/commitdiff_plain/423c89a3b19646bd914c2c0826b7ae05c41fb0a1 Filter which imposes additional restrictions on GCD of %$(p - 1)/2$% with a given integer. --- diff --git a/pgen-gcd.c b/pgen-gcd.c new file mode 100644 index 0000000..cd23c37 --- /dev/null +++ b/pgen-gcd.c @@ -0,0 +1,104 @@ +/* -*-c-*- + * + * $Id: pgen-gcd.c,v 1.1 2000/06/17 11:51:53 mdw Exp $ + * + * Prime search stepper ensuring a low GCD for %$(p - 1)/2$% + * + * (c) 2000 Straylight/Edgeware + */ + +/*----- Licensing notice --------------------------------------------------* + * + * This file is part of Catacomb. + * + * Catacomb is free software; you can redistribute it and/or modify + * it under the terms of the GNU Library General Public License as + * published by the Free Software Foundation; either version 2 of the + * License, or (at your option) any later version. + * + * Catacomb is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Library General Public License for more details. + * + * You should have received a copy of the GNU Library General Public + * License along with Catacomb; if not, write to the Free + * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, + * MA 02111-1307, USA. + */ + +/*----- Revision history --------------------------------------------------* + * + * $Log: pgen-gcd.c,v $ + * Revision 1.1 2000/06/17 11:51:53 mdw + * Filter which imposes additional restrictions on GCD of %$(p - 1)/2$% + * with a given integer. + * + */ + +/*----- Header files ------------------------------------------------------*/ + +#include "mp.h" +#include "pgen.h" + +/*----- Main code ---------------------------------------------------------*/ + +int pgen_gcdstep(int rq, pgen_event *ev, void *p) +{ + pgen_gcdstepctx *g = p; + int rc = PGEN_ABORT; + + switch (rq) { + + /* --- Set everything up --- * + * + * Call things off if @q@ and @jq@ have common factors. + */ + + case PGEN_BEGIN: { + mp *p = ev->m; + g->q = mp_lsr(MP_NEW, p, 1); + g->jq = mp_lsr(MP_NEW, g->jp.m, 1); + mp_gcd(&g->g, 0, 0, g->q, g->jq); + if (MP_CMP(g->g, >, MP_ONE)) + return (PGEN_ABORT); + rc = pfilt_create(&g->p, p); + mp_drop(p); + } break; + + /* --- Grind through another iteration --- */ + + case PGEN_TRY: + mp_drop(ev->m); + rc = pfilt_jump(&g->p, &g->jp); + g->q = mp_add(g->q, g->q, g->jq); + break; + + /* --- Finished --- */ + + case PGEN_DONE: + pfilt_destroy(&g->p); + mp_drop(g->q); + mp_drop(g->jq); + return (PGEN_DONE); + } + + /* --- Step on until everything is OK --- */ + + for (;;) { + if (rc != PGEN_FAIL) { + mp_gcd(&g->g, 0, 0, g->r, g->q); + if (MP_CMP(g->g, >, g->max)) + rc = PGEN_FAIL; + } + if (rc != PGEN_FAIL) + break; + rc = pfilt_jump(&g->p, &g->jp); + g->q = mp_add(g->q, g->q, g->jq); + } + + ev->m = MP_COPY(g->p.m); + return (rc); +} + +/*----- That's all, folks -------------------------------------------------*/