diff options
author | Matt Johnston <matt@ucc.asn.au> | 2007-01-11 03:14:55 +0000 |
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committer | Matt Johnston <matt@ucc.asn.au> | 2007-01-11 03:14:55 +0000 |
commit | 9d5ed350a749368c84254c11e7616ce3c891193a (patch) | |
tree | 6dacbff2e9f5c60a1568382db55c72dd6d2ce925 /libtommath/bn_mp_prime_miller_rabin.c | |
parent | ca52f070aecf91e75f6ae6c87d4ae1a2189ccb14 (diff) | |
parent | 5ea605d8de5b4438deb4fa86c5231710dd09f934 (diff) |
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
to branch 'au.asn.ucc.matt.dropbear' (head ecd779509ef23a8cdf64888904fc9b31d78aa933)
--HG--
extra : convert_revision : d26d5eb2837f46b56a33fb0e7573aa0201abd4d5
Diffstat (limited to 'libtommath/bn_mp_prime_miller_rabin.c')
-rw-r--r-- | libtommath/bn_mp_prime_miller_rabin.c | 103 |
1 files changed, 103 insertions, 0 deletions
diff --git a/libtommath/bn_mp_prime_miller_rabin.c b/libtommath/bn_mp_prime_miller_rabin.c new file mode 100644 index 0000000..9bd6ba1 --- /dev/null +++ b/libtommath/bn_mp_prime_miller_rabin.c @@ -0,0 +1,103 @@ +#include <tommath.h> +#ifdef BN_MP_PRIME_MILLER_RABIN_C +/* 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, tomstdenis@gmail.com, http://math.libtomcrypt.com + */ + +/* Miller-Rabin test of "a" to the base of "b" as described in + * HAC pp. 139 Algorithm 4.24 + * + * Sets result to 0 if definitely composite or 1 if probably prime. + * Randomly the chance of error is no more than 1/4 and often + * very much lower. + */ +int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result) +{ + mp_int n1, y, r; + int s, j, err; + + /* default */ + *result = MP_NO; + + /* ensure b > 1 */ + if (mp_cmp_d(b, 1) != MP_GT) { + return MP_VAL; + } + + /* get n1 = a - 1 */ + if ((err = mp_init_copy (&n1, a)) != MP_OKAY) { + return err; + } + if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) { + goto LBL_N1; + } + + /* set 2**s * r = n1 */ + if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) { + goto LBL_N1; + } + + /* count the number of least significant bits + * which are zero + */ + s = mp_cnt_lsb(&r); + + /* now divide n - 1 by 2**s */ + if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) { + goto LBL_R; + } + + /* compute y = b**r mod a */ + if ((err = mp_init (&y)) != MP_OKAY) { + goto LBL_R; + } + if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) { + goto LBL_Y; + } + + /* if y != 1 and y != n1 do */ + if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) { + j = 1; + /* while j <= s-1 and y != n1 */ + while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) { + if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) { + goto LBL_Y; + } + + /* if y == 1 then composite */ + if (mp_cmp_d (&y, 1) == MP_EQ) { + goto LBL_Y; + } + + ++j; + } + + /* if y != n1 then composite */ + if (mp_cmp (&y, &n1) != MP_EQ) { + goto LBL_Y; + } + } + + /* probably prime now */ + *result = MP_YES; +LBL_Y:mp_clear (&y); +LBL_R:mp_clear (&r); +LBL_N1:mp_clear (&n1); + return err; +} +#endif + +/* $Source: /cvs/libtom/libtommath/bn_mp_prime_miller_rabin.c,v $ */ +/* $Revision: 1.3 $ */ +/* $Date: 2006/03/31 14:18:44 $ */ |