X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/b817bfc642225b8c3c0b6a7e42d1fb949b61a606..7280f7f44cfae62f6d34761ac88aa19da7da5dd8:/field.h diff --git a/field.h b/field.h index 5790284..6085716 100644 --- a/field.h +++ b/field.h @@ -1,13 +1,13 @@ /* -*-c-*- * - * $Id: field.h,v 1.11 2004/04/08 01:36:15 mdw Exp $ + * $Id$ * * Definitions for field arithmetic * * (c) 2000 Straylight/Edgeware */ -/*----- Licensing notice --------------------------------------------------* +/*----- Licensing notice --------------------------------------------------* * * This file is part of Catacomb. * @@ -15,12 +15,12 @@ * 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, @@ -56,6 +56,7 @@ typedef struct field { mp *m; /* Modulus (prime and binary) */ unsigned long nbits; /* Length of field element in bits */ size_t noctets; /* Length of element in octets */ + mp *q; /* Number of elements in field */ } field; enum { @@ -170,6 +171,25 @@ extern int field_samep(field */*f*/, field */*g*/); extern int field_stdsamep(field */*f*/, field */*g*/); +/*----- Arithmetic --------------------------------------------------------*/ + +/* --- @field_exp@ --- * + * + * Arguments: @field *f@ = pointer to field + * @mp *d@ = fake destination + * @mp *a@ = base + * @mp *e@ = exponent + * + * Returns: Result, %$a^e$%. + * + * Use: Exponentiation in a finite field. Note that all quantities + * are in internal format. This is a generic implementation + * suitable for use with all fields and is not intended to be + * optimal. + */ + +extern mp *field_exp(field */*f*/, mp */*d*/, mp */*a*/, mp */*e*/); + /*----- Creating fields ---------------------------------------------------*/ /* --- @field_prime@ --- * @@ -188,7 +208,7 @@ extern field *field_prime(mp */*p*/); * * 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 efficient reduction for nice primes. @@ -233,7 +253,7 @@ extern field *field_binnorm(mp */*p*/, mp */*beta*/); * * `prime', `niceprime', `binpoly', or `binnorm' * * an optional `:' * * the field modulus - * * for `binnorm', an optional `,' and the beta value + * * for `binnorm', an optional `,' and the beta value */ extern field *field_parse(qd_parse */*qd*/);