diff options
author | Matt Johnston <matt@ucc.asn.au> | 2006-03-08 13:23:58 +0000 |
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committer | Matt Johnston <matt@ucc.asn.au> | 2006-03-08 13:23:58 +0000 |
commit | 6ae3a09ef33b62811a7f60a1f97dcb89907c1ac1 (patch) | |
tree | 37e84722c5b30bbfc86947bee260473d4604b616 /libtommath/bn_mp_gcd.c | |
parent | 33defd1f9b6c4889fe5b075e6abb0b24c00f3a59 (diff) | |
parent | 8608a8e64c1aeda096867f43f89e29e1aee207ae (diff) |
propagate from branch 'au.asn.ucc.matt.ltc.dropbear' (head 20dccfc09627970a312d77fb41dc2970b62689c3)
to branch 'au.asn.ucc.matt.dropbear' (head fdf4a7a3b97ae5046139915de7e40399cceb2c01)
--HG--
extra : convert_revision : dc4809882e1b9f2dcd3f8bbe38c74a0a52c39ce4
Diffstat (limited to 'libtommath/bn_mp_gcd.c')
-rw-r--r-- | libtommath/bn_mp_gcd.c | 109 |
1 files changed, 109 insertions, 0 deletions
diff --git a/libtommath/bn_mp_gcd.c b/libtommath/bn_mp_gcd.c new file mode 100644 index 0000000..6265df1 --- /dev/null +++ b/libtommath/bn_mp_gcd.c @@ -0,0 +1,109 @@ +#include <tommath.h> +#ifdef BN_MP_GCD_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@iahu.ca, http://math.libtomcrypt.org + */ + +/* Greatest Common Divisor using the binary method */ +int mp_gcd (mp_int * a, mp_int * b, mp_int * c) +{ + mp_int u, v; + int k, u_lsb, v_lsb, res; + + /* either zero than gcd is the largest */ + if (mp_iszero (a) == 1 && mp_iszero (b) == 0) { + return mp_abs (b, c); + } + if (mp_iszero (a) == 0 && mp_iszero (b) == 1) { + return mp_abs (a, c); + } + + /* optimized. At this point if a == 0 then + * b must equal zero too + */ + if (mp_iszero (a) == 1) { + mp_zero(c); + return MP_OKAY; + } + + /* get copies of a and b we can modify */ + if ((res = mp_init_copy (&u, a)) != MP_OKAY) { + return res; + } + + if ((res = mp_init_copy (&v, b)) != MP_OKAY) { + goto LBL_U; + } + + /* must be positive for the remainder of the algorithm */ + u.sign = v.sign = MP_ZPOS; + + /* B1. Find the common power of two for u and v */ + u_lsb = mp_cnt_lsb(&u); + v_lsb = mp_cnt_lsb(&v); + k = MIN(u_lsb, v_lsb); + + if (k > 0) { + /* divide the power of two out */ + if ((res = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) { + goto LBL_V; + } + + if ((res = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) { + goto LBL_V; + } + } + + /* divide any remaining factors of two out */ + if (u_lsb != k) { + if ((res = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) { + goto LBL_V; + } + } + + if (v_lsb != k) { + if ((res = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) { + goto LBL_V; + } + } + + while (mp_iszero(&v) == 0) { + /* make sure v is the largest */ + if (mp_cmp_mag(&u, &v) == MP_GT) { + /* swap u and v to make sure v is >= u */ + mp_exch(&u, &v); + } + + /* subtract smallest from largest */ + if ((res = s_mp_sub(&v, &u, &v)) != MP_OKAY) { + goto LBL_V; + } + + /* Divide out all factors of two */ + if ((res = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) { + goto LBL_V; + } + } + + /* multiply by 2**k which we divided out at the beginning */ + if ((res = mp_mul_2d (&u, k, c)) != MP_OKAY) { + goto LBL_V; + } + c->sign = MP_ZPOS; + res = MP_OKAY; +LBL_V:mp_clear (&u); +LBL_U:mp_clear (&v); + return res; +} +#endif |