X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/34e4f738bcba58e6d8c4cabbb0b3232a65b42a9d..f52f2db067dc1388b16ab00ddb53e26a381a6e3e:/mpmont.c diff --git a/mpmont.c b/mpmont.c index 926fde8..65b3fcc 100644 --- a/mpmont.c +++ b/mpmont.c @@ -1,13 +1,13 @@ /* -*-c-*- * - * $Id: mpmont.c,v 1.17 2004/04/01 12:50:09 mdw Exp $ + * $Id$ * * Montgomery reduction * * (c) 1999 Straylight/Edgeware */ -/*----- Licensing notice --------------------------------------------------* +/*----- Licensing notice --------------------------------------------------* * * This file is part of Catacomb. * @@ -15,88 +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: mpmont.c,v $ - * Revision 1.17 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.) - * - * Revision 1.16 2002/01/13 13:40:31 mdw - * Avoid trashing arguments before we've used them. - * - * Revision 1.15 2001/06/16 13:00:20 mdw - * Use the generic exponentiation functions. - * - * Revision 1.14 2001/02/22 09:04:26 mdw - * Cosmetic fix. - * - * Revision 1.13 2001/02/03 12:00:29 mdw - * Now @mp_drop@ checks its argument is non-NULL before attempting to free - * it. Note that the macro version @MP_DROP@ doesn't do this. - * - * Revision 1.12 2000/10/08 15:48:35 mdw - * Rename Karatsuba constants now that we have @gfx_kmul@ too. - * - * Revision 1.11 2000/10/08 12:04:27 mdw - * (mpmont_reduce, mpmont_mul): Cope with negative numbers. - * - * Revision 1.10 2000/07/29 17:05:43 mdw - * (mpmont_expr): Use sliding window exponentiation, with a drop-through - * for small exponents to use a simple left-to-right bitwise routine. This - * can reduce modexp times by up to a quarter. - * - * Revision 1.9 2000/06/17 11:45:09 mdw - * Major memory management overhaul. Added arena support. Use the secure - * arena for secret integers. Replace and improve the MP management macros - * (e.g., replace MP_MODIFY by MP_DEST). - * - * Revision 1.8 1999/12/22 15:55:00 mdw - * Adjust Karatsuba parameters. - * - * Revision 1.7 1999/12/11 01:51:14 mdw - * Use a Karatsuba-based reduction for large moduli. - * - * Revision 1.6 1999/12/10 23:18:39 mdw - * Change interface for suggested destinations. - * - * Revision 1.5 1999/11/22 13:58:40 mdw - * Add an option to disable Montgomery reduction, so that performance - * comparisons can be done. - * - * Revision 1.4 1999/11/21 12:27:06 mdw - * Remove a division from the Montgomery setup by calculating - * %$R^2 \bmod m$% first and then %$R \bmod m$% by Montgomery reduction of - * %$R^2$%. - * - * Revision 1.3 1999/11/21 11:35:10 mdw - * Performance improvement: use @mp_sqr@ and @mpmont_reduce@ instead of - * @mpmont_mul@ for squaring in exponentiation. - * - * Revision 1.2 1999/11/19 13:17:26 mdw - * Add extra interface to exponentiation which returns a Montgomerized - * result. - * - * Revision 1.1 1999/11/17 18:02:16 mdw - * New multiprecision integer arithmetic suite. - * - */ - /*----- Header files ------------------------------------------------------*/ #include "mp.h" @@ -119,7 +49,7 @@ * Arguments: @mpmont *mm@ = pointer to Montgomery reduction context * @mp *m@ = modulus to use * - * Returns: --- + * Returns: Zero on success, nonzero on error. * * Use: Initializes a Montgomery reduction context ready for use. * The argument @m@ must be a positive odd integer. @@ -127,32 +57,28 @@ #ifdef MPMONT_DISABLE -void mpmont_create(mpmont *mm, mp *m) +int mpmont_create(mpmont *mm, mp *m) { mp_shrink(m); mm->m = MP_COPY(m); mm->r = MP_ONE; mm->r2 = MP_ONE; mm->mi = MP_ONE; + return (0); } #else -void mpmont_create(mpmont *mm, mp *m) +int mpmont_create(mpmont *mm, mp *m) { size_t n = MP_LEN(m); mp *r2 = mp_new(2 * n + 1, 0); mp r; - /* --- Validate the arguments --- */ - - assert(((void)"Montgomery modulus must be positive", - (m->f & MP_NEG) == 0)); - assert(((void)"Montgomery modulus must be odd", m->v[0] & 1)); - /* --- Take a copy of the modulus --- */ - mp_shrink(m); + if (!MP_POSP(m) || !MP_ODDP(m)) + return (-1); mm->m = MP_COPY(m); /* --- Determine %$R^2$% --- */ @@ -164,8 +90,7 @@ void mpmont_create(mpmont *mm, mp *m) /* --- Find the magic value @mi@ --- */ mp_build(&r, r2->v + n, r2->vl); - mm->mi = MP_NEW; - mp_gcd(0, 0, &mm->mi, &r, m); + mm->mi = mp_modinv(MP_NEW, m, &r); mm->mi = mp_sub(mm->mi, &r, mm->mi); /* --- Discover the values %$R \bmod m$% and %$R^2 \bmod m$% --- */ @@ -174,6 +99,7 @@ void mpmont_create(mpmont *mm, mp *m) mp_div(0, &mm->r2, r2, m); mm->r = mpmont_reduce(mm, MP_NEW, mm->r2); MP_DROP(r2); + return (0); } #endif @@ -404,7 +330,7 @@ static int tcreate(dstr *v) fputs("\n*** bad r", stderr); fputs("\nm = ", stderr); mp_writefile(m, stderr, 10); fputs("\nexpected ", stderr); mp_writefile(r, stderr, 10); - fputs("\n found ", stderr); mp_writefile(mm.r, stderr, 10); + fputs("\n found ", stderr); mp_writefile(mm.r, stderr, 10); fputc('\n', stderr); ok = 0; } @@ -413,7 +339,7 @@ static int tcreate(dstr *v) fputs("\n*** bad r2", stderr); fputs("\nm = ", stderr); mp_writefile(m, stderr, 10); fputs("\nexpected ", stderr); mp_writefile(r2, stderr, 10); - fputs("\n found ", stderr); mp_writefile(mm.r2, stderr, 10); + fputs("\n found ", stderr); mp_writefile(mm.r2, stderr, 10); fputc('\n', stderr); ok = 0; }