X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/0a5d0bc7225e8abcab0519447a82d87c6d05884a..4b536f423c90ba7ca41d3f95f31b17729152a403:/mpbarrett.c diff --git a/mpbarrett.c b/mpbarrett.c index 711b7ab..affbc65 100644 --- a/mpbarrett.c +++ b/mpbarrett.c @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: mpbarrett.c,v 1.3 1999/12/12 15:08:52 mdw Exp $ + * $Id: mpbarrett.c,v 1.5 2000/07/29 17:04:33 mdw Exp $ * * Barrett modular reduction * @@ -30,6 +30,15 @@ /*----- Revision history --------------------------------------------------* * * $Log: mpbarrett.c,v $ + * Revision 1.5 2000/07/29 17:04:33 mdw + * Change to use left-to-right bitwise exponentiation. This will improve + * performance when the base is small. + * + * Revision 1.4 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 1.3 1999/12/12 15:08:52 mdw * Don't bother shifting %$q$% in @mpbarrett_reduce@, just skip the least * significant digits. @@ -73,7 +82,7 @@ void mpbarrett_create(mpbarrett *mb, mp *m) mp_shrink(m); mb->k = MP_LEN(m); mb->m = MP_COPY(m); - b = mp_create(2 * mb->k + 1); + b = mp_new(2 * mb->k + 1, 0); MPX_ZERO(b->v, b->vl - 1); b->vl[-1] = 1; mp_div(&b, 0, b, m); @@ -118,7 +127,8 @@ mp *mpbarrett_reduce(mpbarrett *mb, mp *d, mp *m) if (MP_LEN(m) < k) { m = MP_COPY(m); - MP_DROP(d); + if (d) + MP_DROP(d); return (m); } @@ -130,7 +140,8 @@ mp *mpbarrett_reduce(mpbarrett *mb, mp *d, mp *m) q = mp_mul(MP_NEW, &qq, mb->mu); if (MP_LEN(q) <= k) { m = MP_COPY(m); - MP_DROP(d); + if (d) + MP_DROP(d); return (m); } } @@ -146,10 +157,9 @@ mp *mpbarrett_reduce(mpbarrett *mb, mp *d, mp *m) mvl = m->vl; else mvl = m->v + k + 1; - r = mp_create(k + 1); + r = mp_new(k + 1, (q->f | mb->m->f) & MP_BURN); mpx_umul(r->v, r->vl, q->v + k + 1, q->vl, mb->m->v, mb->m->vl); - r->f = (q->f | mb->m->f) & MP_BURN; - MP_MODIFY(d, k + 1); + MP_DEST(d, k + 1, r->f); mpx_usub(d->v, d->vl, m->v, mvl, r->v, r->vl); d->f = (m->f | r->f) & MP_BURN; MP_DROP(r); @@ -181,31 +191,53 @@ mp *mpbarrett_exp(mpbarrett *mb, mp *d, mp *a, mp *e) { mpscan sc; mp *x = MP_ONE; - mp *spare = MP_NEW; + mp *spare = (e->f & MP_BURN) ? MP_NEWSEC : MP_NEW; + unsigned sq = 0; a = MP_COPY(a); - mp_scan(&sc, e); - if (MP_STEP(&sc)) { - size_t sq = 0; + mp_rscan(&sc, e); + if (!MP_RSTEP(&sc)) + goto exit; + while (!MP_RBIT(&sc)) + MP_RSTEP(&sc); + + /* --- Do the main body of the work --- */ + + for (;;) { + sq++; + while (sq) { + mp *y; + y = mp_sqr(spare, x); + y = mpbarrett_reduce(mb, y, y); + spare = x; x = y; + sq--; + } + { + mp *y = mp_mul(spare, x, a); + y = mpbarrett_reduce(mb, y, y); + spare = x; x = y; + } for (;;) { - mp *dd; - if (MP_BIT(&sc)) { - while (sq) { - dd = mp_sqr(spare, a); - dd = mpbarrett_reduce(mb, dd, dd); - spare = a; a = dd; - sq--; - } - dd = mp_mul(spare, x, a); - dd = mpbarrett_reduce(mb, dd, dd); - spare = x; x = dd; - } + if (!MP_RSTEP(&sc)) + goto done; + if (MP_RBIT(&sc)) + break; sq++; - if (!MP_STEP(&sc)) - break; } } + /* --- Do a final round of squaring --- */ + +done: + while (sq) { + mp *y; + y = mp_sqr(spare, x); + y = mpbarrett_reduce(mb, y, y); + spare = x; x = y; + sq--; + } + +exit: MP_DROP(a); if (spare != MP_NEW) MP_DROP(spare);