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authorMatt Johnston <matt@ucc.asn.au>2007-01-11 03:14:55 +0000
committerMatt Johnston <matt@ucc.asn.au>2007-01-11 03:14:55 +0000
commit9d5ed350a749368c84254c11e7616ce3c891193a (patch)
tree6dacbff2e9f5c60a1568382db55c72dd6d2ce925 /libtommath/bn_mp_exteuclid.c
parentca52f070aecf91e75f6ae6c87d4ae1a2189ccb14 (diff)
parent5ea605d8de5b4438deb4fa86c5231710dd09f934 (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_exteuclid.c')
-rw-r--r--libtommath/bn_mp_exteuclid.c82
1 files changed, 82 insertions, 0 deletions
diff --git a/libtommath/bn_mp_exteuclid.c b/libtommath/bn_mp_exteuclid.c
new file mode 100644
index 0000000..25ccba9
--- /dev/null
+++ b/libtommath/bn_mp_exteuclid.c
@@ -0,0 +1,82 @@
+#include <tommath.h>
+#ifdef BN_MP_EXTEUCLID_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
+ */
+
+/* Extended euclidean algorithm of (a, b) produces
+ a*u1 + b*u2 = u3
+ */
+int mp_exteuclid(mp_int *a, mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3)
+{
+ mp_int u1,u2,u3,v1,v2,v3,t1,t2,t3,q,tmp;
+ int err;
+
+ if ((err = mp_init_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL)) != MP_OKAY) {
+ return err;
+ }
+
+ /* initialize, (u1,u2,u3) = (1,0,a) */
+ mp_set(&u1, 1);
+ if ((err = mp_copy(a, &u3)) != MP_OKAY) { goto _ERR; }
+
+ /* initialize, (v1,v2,v3) = (0,1,b) */
+ mp_set(&v2, 1);
+ if ((err = mp_copy(b, &v3)) != MP_OKAY) { goto _ERR; }
+
+ /* loop while v3 != 0 */
+ while (mp_iszero(&v3) == MP_NO) {
+ /* q = u3/v3 */
+ if ((err = mp_div(&u3, &v3, &q, NULL)) != MP_OKAY) { goto _ERR; }
+
+ /* (t1,t2,t3) = (u1,u2,u3) - (v1,v2,v3)q */
+ if ((err = mp_mul(&v1, &q, &tmp)) != MP_OKAY) { goto _ERR; }
+ if ((err = mp_sub(&u1, &tmp, &t1)) != MP_OKAY) { goto _ERR; }
+ if ((err = mp_mul(&v2, &q, &tmp)) != MP_OKAY) { goto _ERR; }
+ if ((err = mp_sub(&u2, &tmp, &t2)) != MP_OKAY) { goto _ERR; }
+ if ((err = mp_mul(&v3, &q, &tmp)) != MP_OKAY) { goto _ERR; }
+ if ((err = mp_sub(&u3, &tmp, &t3)) != MP_OKAY) { goto _ERR; }
+
+ /* (u1,u2,u3) = (v1,v2,v3) */
+ if ((err = mp_copy(&v1, &u1)) != MP_OKAY) { goto _ERR; }
+ if ((err = mp_copy(&v2, &u2)) != MP_OKAY) { goto _ERR; }
+ if ((err = mp_copy(&v3, &u3)) != MP_OKAY) { goto _ERR; }
+
+ /* (v1,v2,v3) = (t1,t2,t3) */
+ if ((err = mp_copy(&t1, &v1)) != MP_OKAY) { goto _ERR; }
+ if ((err = mp_copy(&t2, &v2)) != MP_OKAY) { goto _ERR; }
+ if ((err = mp_copy(&t3, &v3)) != MP_OKAY) { goto _ERR; }
+ }
+
+ /* make sure U3 >= 0 */
+ if (u3.sign == MP_NEG) {
+ mp_neg(&u1, &u1);
+ mp_neg(&u2, &u2);
+ mp_neg(&u3, &u3);
+ }
+
+ /* copy result out */
+ if (U1 != NULL) { mp_exch(U1, &u1); }
+ if (U2 != NULL) { mp_exch(U2, &u2); }
+ if (U3 != NULL) { mp_exch(U3, &u3); }
+
+ err = MP_OKAY;
+_ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL);
+ return err;
+}
+#endif
+
+/* $Source: /cvs/libtom/libtommath/bn_mp_exteuclid.c,v $ */
+/* $Revision: 1.3 $ */
+/* $Date: 2006/03/31 14:18:44 $ */