X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/21a7c4b1cffbf33a19e4cf421e29420187ed7a89..34e4f738bcba58e6d8c4cabbb0b3232a65b42a9d:/mpbarrett.h diff --git a/mpbarrett.h b/mpbarrett.h index d9c02ad..3168205 100644 --- a/mpbarrett.h +++ b/mpbarrett.h @@ -1,6 +1,6 @@ /* -*-c-*- * - * $Id: mpbarrett.h,v 1.1 1999/12/10 23:22:00 mdw Exp $ + * $Id: mpbarrett.h,v 1.4 2004/04/01 12:50:09 mdw Exp $ * * Barrett modular reduction * @@ -30,6 +30,19 @@ /*----- Revision history --------------------------------------------------* * * $Log: mpbarrett.h,v $ + * Revision 1.4 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 1.3 2001/06/16 12:58:47 mdw + * Added simultaneous exponentiation with Barrett reduction. + * + * Revision 1.2 2000/10/08 12:03:44 mdw + * (mpbarrett_reduce): Cope with negative numbers. + * * Revision 1.1 1999/12/10 23:22:00 mdw * Barrett reduction support: works with even moduli. * @@ -109,8 +122,7 @@ extern void mpbarrett_destroy(mpbarrett */*mb*/); * Returns: The residue of @m@ modulo the number in the reduction * context. * - * Use: Performs an efficient modular reduction. The argument is - * assumed to be positive. + * Use: Performs an efficient modular reduction. */ extern mp *mpbarrett_reduce(mpbarrett */*mb*/, mp */*d*/, mp */*m*/); @@ -127,6 +139,23 @@ extern mp *mpbarrett_reduce(mpbarrett */*mb*/, mp */*d*/, mp */*m*/); extern mp *mpbarrett_exp(mpbarrett */*mb*/, mp */*d*/, mp */*a*/, mp */*e*/); +/* --- @mpbarrett_mexp@ --- * + * + * Arguments: @mpbarrett *mb@ = pointer to Barrett reduction context + * @mp *d@ = fake destination + * @const mp_expfactor *f@ = pointer to array of factors + * @size_t n@ = number of factors supplied + * + * Returns: If the bases are %$g_0, g_1, \ldots, g_{n-1}$% and the + * exponents are %$e_0, e_1, \ldots, e_{n-1}$% then the result + * is: + * + * %$g_0^{e_0} g_1^{e_1} \ldots g_{n-1}^{e_{n-1}} \bmod m$% + */ + +extern mp *mpbarrett_mexp(mpbarrett */*mb*/, mp */*d*/, + const mp_expfactor */*f*/, size_t /*n*/); + /*----- That's all, folks -------------------------------------------------*/ #ifdef __cplusplus