X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/ba6e6b64033b1f9de49feccb5c9cd438354481f7..0f00dc4c8eb47e67bc0f148c2dd109f73a451e0a:/math/mpbarrett-exp.c diff --git a/math/mpbarrett-exp.c b/math/mpbarrett-exp.c new file mode 100644 index 0000000..44cad7e --- /dev/null +++ b/math/mpbarrett-exp.c @@ -0,0 +1,122 @@ +/* -*-c-*- + * + * Modular exponentiation using Barrett reduction + * + * (c) 2004 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. + */ + +/*----- Header files ------------------------------------------------------*/ + +#include "mp.h" +#include "mpbarrett.h" +#include "mpbarrett-exp.h" + +/*----- Main code ---------------------------------------------------------*/ + +/* --- @mpbarrett_exp@ --- * + * + * Arguments: @mpbarrett *mb@ = pointer to Barrett reduction context + * @mp *d@ = fake destination + * @mp *a@ = base + * @mp *e@ = exponent + * + * Returns: Result, %$a^e \bmod m$%. + */ + +mp *mpbarrett_exp(mpbarrett *mb, mp *d, mp *a, mp *e) +{ + mp *x = MP_ONE; + mp *spare = (e->f & MP_BURN) ? MP_NEWSEC : MP_NEW; + + MP_COPY(a); + MP_SHRINK(e); + if (MP_ZEROP(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); + return (x); +} + +/*----- Test rig ----------------------------------------------------------*/ + +#ifdef TEST_RIG + +static int vexp(dstr *v) +{ + mp *m = *(mp **)v[0].buf; + mp *a = *(mp **)v[1].buf; + mp *b = *(mp **)v[2].buf; + mp *r = *(mp **)v[3].buf; + mp *mr; + int ok = 1; + + mpbarrett mb; + mpbarrett_create(&mb, m); + + mr = mpbarrett_exp(&mb, MP_NEW, a, b); + + if (!MP_EQ(mr, r)) { + fputs("\n*** barrett modexp failed", stderr); + fputs("\n m = ", stderr); mp_writefile(m, stderr, 10); + fputs("\n a = ", stderr); mp_writefile(a, stderr, 10); + fputs("\n e = ", stderr); mp_writefile(b, stderr, 10); + fputs("\n r = ", stderr); mp_writefile(r, stderr, 10); + fputs("\nmr = ", stderr); mp_writefile(mr, stderr, 10); + fputc('\n', stderr); + ok = 0; + } + + mp_drop(m); + mp_drop(a); + mp_drop(b); + mp_drop(r); + mp_drop(mr); + mpbarrett_destroy(&mb); + assert(mparena_count(MPARENA_GLOBAL) == 0); + return ok; +} + +static test_chunk tests[] = { + { "mpbarrett-exp", vexp, { &type_mp, &type_mp, &type_mp, &type_mp, 0 } }, + { 0, 0, { 0 } } +}; + +int main(int argc, char *argv[]) +{ + sub_init(); + test_run(argc, argv, tests, SRCDIR "/t/mpbarrett"); + return (0); +} + +#endif + +/*----- That's all, folks -------------------------------------------------*/