X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/34e4f738bcba58e6d8c4cabbb0b3232a65b42a9d..f52f2db067dc1388b16ab00ddb53e26a381a6e3e:/mpbarrett-exp.c diff --git a/mpbarrett-exp.c b/mpbarrett-exp.c index 87d8af2..ef8fa59 100644 --- a/mpbarrett-exp.c +++ b/mpbarrett-exp.c @@ -1,13 +1,13 @@ /* -*-c-*- * - * $Id: mpbarrett-exp.c,v 1.1 2004/04/01 12:50:09 mdw Exp $ + * $Id$ * * Modular exponentiation using Barrett reduction * * (c) 2004 Straylight/Edgeware */ -/*----- Licensing notice --------------------------------------------------* +/*----- Licensing notice --------------------------------------------------* * * This file is part of Catacomb. * @@ -15,30 +15,18 @@ * 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: mpbarrett-exp.c,v $ - * Revision 1.1 2004/04/01 12:50:09 mdw - * Add cyclic group abstraction, with test code. Separate off exponentation - * functions for better static linking. Fix a buttload of bugs on the way. - * Generally ensure that negative exponents do inversion correctly. Add - * table of standard prime-field subgroups. (Binary field subgroups are - * currently unimplemented but easy to add if anyone ever finds a good one.) - * - */ - /*----- Header files ------------------------------------------------------*/ #include "mp.h" @@ -50,11 +38,11 @@ /* --- @mpbarrett_exp@ --- * * * Arguments: @mpbarrett *mb@ = pointer to Barrett reduction context - * @mp *d@ = fake destination - * @mp *a@ = base - * @mp *e@ = exponent + * @mp *d@ = fake destination + * @mp *a@ = base + * @mp *e@ = exponent * - * Returns: Result, %$a^e \bmod m$%. + * Returns: Result, %$a^e \bmod m$%. */ mp *mpbarrett_exp(mpbarrett *mb, mp *d, mp *a, mp *e) @@ -64,18 +52,16 @@ mp *mpbarrett_exp(mpbarrett *mb, mp *d, mp *a, mp *e) MP_COPY(a); MP_SHRINK(e); - if (e->f & MP_NEG) { - mp *g = MP_NEW; - mp_gcd(&g, 0, &a, mb->m, a); - assert(MP_EQ(g, MP_ONE)); - mp_drop(g); - } - if (!MP_LEN(e)) + if (MP_ZEROP(e)) ; - else if (MP_LEN(e) < EXP_THRESH) - EXP_SIMPLE(x, a, e); - else - EXP_WINDOW(x, a, e); + else { + if (MP_NEGP(e)) + a = mp_modinv(a, a, mb->m); + if (MP_LEN(e) < EXP_THRESH) + EXP_SIMPLE(x, a, e); + else + EXP_WINDOW(x, a, e); + } mp_drop(d); mp_drop(spare); mp_drop(a);