+#include <tommath.h>
+#ifdef BN_MP_PRIME_MILLER_RABIN_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis
*
- * LibTomMath is library that provides for multiple-precision
+ * LibTomMath is a library that provides multiple-precision
* integer arithmetic as well as number theoretic functionality.
*
- * The library is designed directly after the MPI library by
+ * The library was designed directly after the MPI library by
* Michael Fromberger but has been written from scratch with
* additional optimizations in place.
*
*
* Tom St Denis, tomstdenis@iahu.ca, http://math.libtomcrypt.org
*/
-#include <tommath.h>
/* Miller-Rabin test of "a" to the base of "b" as described in
* HAC pp. 139 Algorithm 4.24
* 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)
+int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result)
{
mp_int n1, y, r;
int s, j, err;
/* default */
- *result = 0;
+ *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 __N1;
+ goto LBL_N1;
}
- /* set 2^s * r = n1 */
+ /* set 2**s * r = n1 */
if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) {
- goto __N1;
+ goto LBL_N1;
}
- s = 0;
- while (mp_iseven (&r) == 1) {
- ++s;
- if ((err = mp_div_2 (&r, &r)) != MP_OKAY) {
- goto __R;
- }
+
+ /* 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 */
+ /* compute y = b**r mod a */
if ((err = mp_init (&y)) != MP_OKAY) {
- goto __R;
+ goto LBL_R;
}
if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) {
- goto __Y;
+ goto LBL_Y;
}
/* if y != 1 and y != n1 do */
/* 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 __Y;
+ goto LBL_Y;
}
/* if y == 1 then composite */
if (mp_cmp_d (&y, 1) == MP_EQ) {
- goto __Y;
+ goto LBL_Y;
}
++j;
/* if y != n1 then composite */
if (mp_cmp (&y, &n1) != MP_EQ) {
- goto __Y;
+ goto LBL_Y;
}
}
/* probably prime now */
- *result = 1;
-__Y:mp_clear (&y);
-__R:mp_clear (&r);
-__N1:mp_clear (&n1);
+ *result = MP_YES;
+LBL_Y:mp_clear (&y);
+LBL_R:mp_clear (&r);
+LBL_N1:mp_clear (&n1);
return err;
}
+#endif