Mercurial > dropbear
diff bn_mp_prime_fermat.c @ 2:86e0b50a9b58 libtommath-orig ltm-0.30-orig
ltm 0.30 orig import
author | Matt Johnston <matt@ucc.asn.au> |
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date | Mon, 31 May 2004 18:25:22 +0000 |
parents | |
children | d29b64170cf0 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/bn_mp_prime_fermat.c Mon May 31 18:25:22 2004 +0000 @@ -0,0 +1,56 @@ +/* LibTomMath, multiple-precision integer library -- Tom St Denis + * + * LibTomMath is a library that provides multiple-precision + * integer arithmetic as well as number theoretic functionality. + * + * The library was designed directly after the MPI library by + * Michael Fromberger but has been written from scratch with + * additional optimizations in place. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, [email protected], http://math.libtomcrypt.org + */ +#include <tommath.h> + +/* performs one Fermat test. + * + * If "a" were prime then b**a == b (mod a) since the order of + * the multiplicative sub-group would be phi(a) = a-1. That means + * it would be the same as b**(a mod (a-1)) == b**1 == b (mod a). + * + * Sets result to 1 if the congruence holds, or zero otherwise. + */ +int mp_prime_fermat (mp_int * a, mp_int * b, int *result) +{ + mp_int t; + int err; + + /* default to composite */ + *result = MP_NO; + + /* ensure b > 1 */ + if (mp_cmp_d(b, 1) != MP_GT) { + return MP_VAL; + } + + /* init t */ + if ((err = mp_init (&t)) != MP_OKAY) { + return err; + } + + /* compute t = b**a mod a */ + if ((err = mp_exptmod (b, a, a, &t)) != MP_OKAY) { + goto __T; + } + + /* is it equal to b? */ + if (mp_cmp (&t, b) == MP_EQ) { + *result = MP_YES; + } + + err = MP_OKAY; +__T:mp_clear (&t); + return err; +}