summaryrefslogtreecommitdiffhomepage
path: root/libtommath/bn_fast_mp_invmod.c
diff options
context:
space:
mode:
authorMatt Johnston <matt@ucc.asn.au>2006-03-21 16:20:59 +0000
committerMatt Johnston <matt@ucc.asn.au>2006-03-21 16:20:59 +0000
commitf7caf6f5c640cb1756c01184898f176438a3a0c2 (patch)
tree4d32de11b18d5f6296207961b5f25d0949af80c0 /libtommath/bn_fast_mp_invmod.c
parente444f0cfe67c71d3f38854f27cefae9aea6c4cd9 (diff)
parent3f49fc5f2ca0ec4adb5cac081f502cbb86702efa (diff)
propagate from branch 'au.asn.ucc.matt.dropbear' (head 0501e6f661b5415eb76f3b312d183c3adfbfb712)
to branch 'au.asn.ucc.matt.dropbear.cli-agent' (head 01038174ec27245b51bd43a66c01ad930880f67b) --HG-- branch : agent-client extra : convert_revision : 12b2f59db65e7339d340e95ac67d6d9ddb193c2b
Diffstat (limited to 'libtommath/bn_fast_mp_invmod.c')
-rw-r--r--libtommath/bn_fast_mp_invmod.c144
1 files changed, 144 insertions, 0 deletions
diff --git a/libtommath/bn_fast_mp_invmod.c b/libtommath/bn_fast_mp_invmod.c
new file mode 100644
index 0000000..acc8364
--- /dev/null
+++ b/libtommath/bn_fast_mp_invmod.c
@@ -0,0 +1,144 @@
+#include <tommath.h>
+#ifdef BN_FAST_MP_INVMOD_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
+ */
+
+/* computes the modular inverse via binary extended euclidean algorithm,
+ * that is c = 1/a mod b
+ *
+ * Based on slow invmod except this is optimized for the case where b is
+ * odd as per HAC Note 14.64 on pp. 610
+ */
+int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c)
+{
+ mp_int x, y, u, v, B, D;
+ int res, neg;
+
+ /* 2. [modified] b must be odd */
+ if (mp_iseven (b) == 1) {
+ return MP_VAL;
+ }
+
+ /* init all our temps */
+ if ((res = mp_init_multi(&x, &y, &u, &v, &B, &D, NULL)) != MP_OKAY) {
+ return res;
+ }
+
+ /* x == modulus, y == value to invert */
+ if ((res = mp_copy (b, &x)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+
+ /* we need y = |a| */
+ if ((res = mp_mod (a, b, &y)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+
+ /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */
+ if ((res = mp_copy (&x, &u)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ if ((res = mp_copy (&y, &v)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ mp_set (&D, 1);
+
+top:
+ /* 4. while u is even do */
+ while (mp_iseven (&u) == 1) {
+ /* 4.1 u = u/2 */
+ if ((res = mp_div_2 (&u, &u)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ /* 4.2 if B is odd then */
+ if (mp_isodd (&B) == 1) {
+ if ((res = mp_sub (&B, &x, &B)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ }
+ /* B = B/2 */
+ if ((res = mp_div_2 (&B, &B)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ }
+
+ /* 5. while v is even do */
+ while (mp_iseven (&v) == 1) {
+ /* 5.1 v = v/2 */
+ if ((res = mp_div_2 (&v, &v)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ /* 5.2 if D is odd then */
+ if (mp_isodd (&D) == 1) {
+ /* D = (D-x)/2 */
+ if ((res = mp_sub (&D, &x, &D)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ }
+ /* D = D/2 */
+ if ((res = mp_div_2 (&D, &D)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ }
+
+ /* 6. if u >= v then */
+ if (mp_cmp (&u, &v) != MP_LT) {
+ /* u = u - v, B = B - D */
+ if ((res = mp_sub (&u, &v, &u)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+
+ if ((res = mp_sub (&B, &D, &B)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ } else {
+ /* v - v - u, D = D - B */
+ if ((res = mp_sub (&v, &u, &v)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+
+ if ((res = mp_sub (&D, &B, &D)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ }
+
+ /* if not zero goto step 4 */
+ if (mp_iszero (&u) == 0) {
+ goto top;
+ }
+
+ /* now a = C, b = D, gcd == g*v */
+
+ /* if v != 1 then there is no inverse */
+ if (mp_cmp_d (&v, 1) != MP_EQ) {
+ res = MP_VAL;
+ goto LBL_ERR;
+ }
+
+ /* b is now the inverse */
+ neg = a->sign;
+ while (D.sign == MP_NEG) {
+ if ((res = mp_add (&D, b, &D)) != MP_OKAY) {
+ goto LBL_ERR;
+ }
+ }
+ mp_exch (&D, c);
+ c->sign = neg;
+ res = MP_OKAY;
+
+LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL);
+ return res;
+}
+#endif