X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/4edc47b89bc56cd4041fdb0f4e8e892acd589ed8..a69a3efddbe1261f55e90d4ff477053ab80663a5:/f-prime.c diff --git a/f-prime.c b/f-prime.c index 088032b..1dcfded 100644 --- a/f-prime.c +++ b/f-prime.c @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: f-prime.c,v 1.9 2004/04/01 21:28:41 mdw Exp $ + * $Id$ * * Prime fields with Montgomery arithmetic * @@ -27,53 +27,6 @@ * MA 02111-1307, USA. */ -/*----- Revision history --------------------------------------------------* - * - * $Log: f-prime.c,v $ - * Revision 1.9 2004/04/01 21:28:41 mdw - * Normal basis support (translates to poly basis internally). Rewrite - * EC and prime group table generators in awk, so that they can reuse data - * for repeated constants. - * - * Revision 1.8 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 1.7 2004/03/27 17:54:11 mdw - * Standard curves and curve checking. - * - * Revision 1.6 2004/03/23 15:19:32 mdw - * Test elliptic curves more thoroughly. - * - * Revision 1.5 2004/03/23 12:08:26 mdw - * Random field-element selection. - * - * Revision 1.4 2004/03/21 22:52:06 mdw - * Merge and close elliptic curve branch. - * - * Revision 1.3.4.3 2004/03/21 22:39:46 mdw - * Elliptic curves on binary fields work. - * - * 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. - * - * Revision 1.3 2003/05/15 23:25:59 mdw - * Make elliptic curve stuff build. - * - * Revision 1.2 2002/01/13 13:48:44 mdw - * Further progress. - * - * Revision 1.1 2001/04/29 18:12:33 mdw - * Prototype version. - * - */ - /*----- Header files ------------------------------------------------------*/ #include @@ -106,21 +59,21 @@ static mp *fin(field *ff, mp *d, mp *x) { static mp *fout(field *ff, mp *d, mp *x) { fctx *f = (fctx *)ff; return (mpmont_reduce(&f->mm, d, x)); } -static int fzerop(field *ff, mp *x) { return (!MP_LEN(x)); } +static int fzerop(field *ff, mp *x) { return (MP_ZEROP(x)); } static mp *fneg(field *ff, mp *d, mp *x) { fctx *f = (fctx *)ff; return (mp_sub(d, f->mm.m, x)); } static mp *fadd(field *ff, mp *d, mp *x, mp *y) { fctx *f = (fctx *)ff; d = mp_add(d, x, y); - if (d->f & MP_NEG) d = mp_add(d, d, f->mm.m); + if (MP_NEGP(d)) d = mp_add(d, d, f->mm.m); else if (MP_CMP(d, >, f->mm.m)) d = mp_sub(d, d, f->mm.m); return (d); } static mp *fsub(field *ff, mp *d, mp *x, mp *y) { fctx *f = (fctx *)ff; d = mp_sub(d, x, y); - if (d->f & MP_NEG) d = mp_add(d, d, f->mm.m); + if (MP_NEGP(d)) d = mp_add(d, d, f->mm.m); else if (MP_CMP(d, >, f->mm.m)) d = mp_sub(d, d, f->mm.m); return (d); } @@ -135,7 +88,7 @@ static mp *fsqr(field *ff, mp *d, mp *x) { static mp *finv(field *ff, mp *d, mp *x) { fctx *f = (fctx *)ff; d = mpmont_reduce(&f->mm, d, x); - mp_gcd(0, 0, &d, f->mm.m, d); return (mpmont_mul(&f->mm, d, d, f->mm.r2)); + d = mp_modinv(d, d, f->mm.m); return (mpmont_mul(&f->mm, d, d, f->mm.r2)); } static mp *freduce(field *ff, mp *d, mp *x) @@ -168,14 +121,14 @@ static mp *fqdl(field *ff, mp *d, mp *x) { 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 (MP_ZEROP(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)); } /* --- Field operations table --- */ -static field_ops fops = { +static const field_ops fops = { FTY_PRIME, "prime", fdestroy, frand, field_stdsamep, fin, fout, @@ -188,7 +141,7 @@ static field_ops fops = { * * Arguments: @mp *p@ = the characteristic of the field * - * Returns: A pointer to the field. + * Returns: A pointer to the field or null. * * Use: Creates a field structure for a prime field of size %$p$%, * using Montgomery reduction for arithmetic. @@ -196,7 +149,11 @@ static field_ops fops = { field *field_prime(mp *p) { - fctx *f = CREATE(fctx); + fctx *f; + + if (!MP_POSP(p) || !MP_ODDP(p)) + return (0); + f = CREATE(fctx); f->f.ops = &fops; mpmont_create(&f->mm, p); f->f.zero = MP_ZERO;