X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/ceb3f0c0a3b7bb3fa3250d31b04c382894095e52..025c5f4aa5ffbf8948482a4233318db81c2df5d2:/gf.h diff --git a/gf.h b/gf.h index 889cd9b..eea204f 100644 --- a/gf.h +++ b/gf.h @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: gf.h,v 1.1.2.1 2004/03/21 22:39:46 mdw Exp $ + * $Id$ * * Arithmetic on binary polynomials * @@ -27,14 +27,6 @@ * MA 02111-1307, USA. */ -/*----- Revision history --------------------------------------------------* - * - * $Log: gf.h,v $ - * Revision 1.1.2.1 2004/03/21 22:39:46 mdw - * Elliptic curves on binary fields work. - * - */ - #ifndef CATACOMB_GF_H #define CATACOMB_GF_H @@ -99,6 +91,26 @@ extern mp *gf_sqr(mp */*d*/, mp */*a*/); extern void gf_div(mp **/*qq*/, mp **/*rr*/, mp */*a*/, mp */*b*/); +/* --- @gf_exp@ --- * + * + * Arguments: @mp *d@ = fake destination + * @mp *a@ = base + * @mp *e@ = exponent + * + * Returns: Result, %$a^e$%. + */ + +extern mp *gf_exp(mp */*d*/, mp */*a*/, mp */*e*/); + +/* --- @gf_irreduciblep@ --- * + * + * Arguments: @mp *f@ = a polynomial + * + * Returns: Nonzero if the polynomial is irreducible; otherwise zero. + */ + +extern int gf_irreduciblep(mp */*f*/); + /* --- @gf_gcd@ --- * * * Arguments: @mp **gcd, **xx, **yy@ = where to write the results @@ -115,6 +127,21 @@ extern void gf_div(mp **/*qq*/, mp **/*rr*/, mp */*a*/, mp */*b*/); extern void gf_gcd(mp **/*gcd*/, mp **/*xx*/, mp **/*yy*/, mp */*a*/, mp */*b*/); +/* -- @gf_modinv@ --- * + * + * Arguments: @mp *d@ = destination + * @mp *x@ = argument + * @mp *p@ = modulus + * + * Returns: The inverse %$x^{-1} \bmod p$%. + * + * Use: Computes a modular inverse, the catch being that the + * arguments and results are binary polynomials. An assertion + * fails if %$p$% has no inverse. + */ + +extern mp *gf_modinv(mp */*d*/, mp */*x*/, mp */*p*/); + /*----- That's all, folks -------------------------------------------------*/ #ifdef __cplusplus