+#include <tommath.h>
+#ifdef BN_MP_JACOBI_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>
/* computes the jacobi c = (a | n) (or Legendre if n is prime)
* HAC pp. 73 Algorithm 2.149
*/
-int
-mp_jacobi (mp_int * a, mp_int * n, int *c)
+int mp_jacobi (mp_int * a, mp_int * p, int *c)
{
- mp_int a1, n1, e;
- int s, r, res;
+ mp_int a1, p1;
+ int k, s, r, res;
mp_digit residue;
+ /* if p <= 0 return MP_VAL */
+ if (mp_cmp_d(p, 0) != MP_GT) {
+ return MP_VAL;
+ }
+
/* step 1. if a == 0, return 0 */
if (mp_iszero (a) == 1) {
*c = 0;
/* default */
s = 0;
- /* step 3. write a = a1 * 2^e */
+ /* step 3. write a = a1 * 2**k */
if ((res = mp_init_copy (&a1, a)) != MP_OKAY) {
return res;
}
- if ((res = mp_init (&n1)) != MP_OKAY) {
- goto __A1;
+ if ((res = mp_init (&p1)) != MP_OKAY) {
+ goto LBL_A1;
}
- if ((res = mp_init (&e)) != MP_OKAY) {
- goto __N1;
- }
-
- while (mp_iseven (&a1) == 1) {
- if ((res = mp_add_d (&e, 1, &e)) != MP_OKAY) {
- goto __E;
- }
-
- if ((res = mp_div_2 (&a1, &a1)) != MP_OKAY) {
- goto __E;
- }
+ /* divide out larger power of two */
+ k = mp_cnt_lsb(&a1);
+ if ((res = mp_div_2d(&a1, k, &a1, NULL)) != MP_OKAY) {
+ goto LBL_P1;
}
/* step 4. if e is even set s=1 */
- if (mp_iseven (&e) == 1) {
+ if ((k & 1) == 0) {
s = 1;
} else {
- /* else set s=1 if n = 1/7 (mod 8) or s=-1 if n = 3/5 (mod 8) */
- if ((res = mp_mod_d (n, 8, &residue)) != MP_OKAY) {
- goto __E;
- }
+ /* else set s=1 if p = 1/7 (mod 8) or s=-1 if p = 3/5 (mod 8) */
+ residue = p->dp[0] & 7;
if (residue == 1 || residue == 7) {
s = 1;
}
}
- /* step 5. if n == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */
- if ((res = mp_mod_d (n, 4, &residue)) != MP_OKAY) {
- goto __E;
- }
- if (residue == 3) {
- if ((res = mp_mod_d (&a1, 4, &residue)) != MP_OKAY) {
- goto __E;
- }
- if (residue == 3) {
- s = -s;
- }
+ /* step 5. if p == 3 (mod 4) *and* a1 == 3 (mod 4) then s = -s */
+ if ( ((p->dp[0] & 3) == 3) && ((a1.dp[0] & 3) == 3)) {
+ s = -s;
}
/* if a1 == 1 we're done */
*c = s;
} else {
/* n1 = n mod a1 */
- if ((res = mp_mod (n, &a1, &n1)) != MP_OKAY) {
- goto __E;
+ if ((res = mp_mod (p, &a1, &p1)) != MP_OKAY) {
+ goto LBL_P1;
}
- if ((res = mp_jacobi (&n1, &a1, &r)) != MP_OKAY) {
- goto __E;
+ if ((res = mp_jacobi (&p1, &a1, &r)) != MP_OKAY) {
+ goto LBL_P1;
}
*c = s * r;
}
/* done */
res = MP_OKAY;
-__E:mp_clear (&e);
-__N1:mp_clear (&n1);
-__A1:mp_clear (&a1);
+LBL_P1:mp_clear (&p1);
+LBL_A1:mp_clear (&a1);
return res;
}
+#endif