X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/dbfee00a86609283c4633df870692be3db9bc5e4..8823192f6413bed15cfa884ed3a3cbbb97885657:/f-prime.c diff --git a/f-prime.c b/f-prime.c index 0d76da0..7c1dae5 100644 --- a/f-prime.c +++ b/f-prime.c @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: f-prime.c,v 1.3.4.1 2003/06/10 13:43:53 mdw Exp $ + * $Id: f-prime.c,v 1.3.4.2 2004/03/20 00:13:31 mdw Exp $ * * Prime fields with Montgomery arithmetic * @@ -30,6 +30,9 @@ /*----- Revision history --------------------------------------------------* * * $Log: f-prime.c,v $ + * Revision 1.3.4.2 2004/03/20 00:13:31 mdw + * Projective coordinates for prime curves + * * Revision 1.3.4.1 2003/06/10 13:43:53 mdw * Simple (non-projective) curves over prime fields now seem to work. * @@ -82,6 +85,11 @@ static mp *fout(field *ff, mp *d, mp *x) return (mpmont_reduce(&f->mm, d, x)); } +static int fzerop(field *ff, mp *x) +{ + return (!MP_LEN(x)); +} + static mp *fneg(field *ff, mp *d, mp *x) { fctx *f = (fctx *)ff; @@ -157,11 +165,37 @@ static mp *ftpl(field *ff, mp *d, mp *x) return (d); } +static mp *fqdl(field *ff, mp *d, mp *x) +{ + fctx *f = (fctx *)ff; + d = mp_lsl(d, x, 2); + while (MP_CMP(d, >, f->mm.m)) + d = mp_sub(d, d, f->mm.m); + return (d); +} + +static mp *fhlv(field *ff, mp *d, mp *x) +{ + fctx *f = (fctx *)ff; + if (!MP_LEN(x)) { + MP_COPY(x); + MP_DROP(d); + return (x); + } + if (x->v[0] & 1) { + d = mp_add(d, x, f->mm.m); + x = d; + } + return (mp_lsr(d, x, 1)); +} + static mp *fsqrt(field *ff, mp *d, mp *x) { fctx *f = (fctx *)ff; d = mpmont_reduce(&f->mm, d, x); d = mp_modsqrt(d, d, f->mm.m); + if (!d) + return (d); return (mpmont_mul(&f->mm, d, d, f->mm.r2)); } @@ -170,8 +204,8 @@ static mp *fsqrt(field *ff, mp *d, mp *x) static field_ops fops = { fdestroy, fin, fout, - fneg, fadd, fsub, fmul, fsqr, finv, freduce, - fdbl, ftpl, fsqrt + fzerop, fneg, fadd, fsub, fmul, fsqr, finv, freduce, + fdbl, ftpl, fqdl, fhlv, fsqrt }; /* --- @field_prime@ --- *