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Diffstat (limited to 'source4/heimdal/lib/hcrypto/libtommath/etc/mersenne.c')
-rw-r--r--source4/heimdal/lib/hcrypto/libtommath/etc/mersenne.c138
1 files changed, 138 insertions, 0 deletions
diff --git a/source4/heimdal/lib/hcrypto/libtommath/etc/mersenne.c b/source4/heimdal/lib/hcrypto/libtommath/etc/mersenne.c
new file mode 100644
index 00000000000..0c9f52fcf86
--- /dev/null
+++ b/source4/heimdal/lib/hcrypto/libtommath/etc/mersenne.c
@@ -0,0 +1,138 @@
+/* Finds Mersenne primes using the Lucas-Lehmer test
+ *
+ * Tom St Denis, tomstdenis@gmail.com
+ */
+#include <time.h>
+#include <tommath.h>
+
+static mp_err is_mersenne(long s, mp_bool *pp)
+{
+ mp_int n, u;
+ mp_err res;
+ int k;
+
+ *pp = MP_NO;
+
+ if ((res = mp_init(&n)) != MP_OKAY) {
+ return res;
+ }
+
+ if ((res = mp_init(&u)) != MP_OKAY) {
+ goto LBL_N;
+ }
+
+ /* n = 2^s - 1 */
+ if ((res = mp_2expt(&n, (int)s)) != MP_OKAY) {
+ goto LBL_MU;
+ }
+ if ((res = mp_sub_d(&n, 1uL, &n)) != MP_OKAY) {
+ goto LBL_MU;
+ }
+
+ /* set u=4 */
+ mp_set(&u, 4uL);
+
+ /* for k=1 to s-2 do */
+ for (k = 1; k <= (s - 2); k++) {
+ /* u = u^2 - 2 mod n */
+ if ((res = mp_sqr(&u, &u)) != MP_OKAY) {
+ goto LBL_MU;
+ }
+ if ((res = mp_sub_d(&u, 2uL, &u)) != MP_OKAY) {
+ goto LBL_MU;
+ }
+
+ /* make sure u is positive */
+ while (u.sign == MP_NEG) {
+ if ((res = mp_add(&u, &n, &u)) != MP_OKAY) {
+ goto LBL_MU;
+ }
+ }
+
+ /* reduce */
+ if ((res = mp_reduce_2k(&u, &n, 1uL)) != MP_OKAY) {
+ goto LBL_MU;
+ }
+ }
+
+ /* if u == 0 then its prime */
+ if (mp_iszero(&u) == MP_YES) {
+ mp_prime_is_prime(&n, 8, pp);
+ if (*pp != MP_YES) printf("FAILURE\n");
+ }
+
+ res = MP_OKAY;
+LBL_MU:
+ mp_clear(&u);
+LBL_N:
+ mp_clear(&n);
+ return res;
+}
+
+/* square root of a long < 65536 */
+static long i_sqrt(long x)
+{
+ long x1, x2;
+
+ x2 = 16;
+ do {
+ x1 = x2;
+ x2 = x1 - ((x1 * x1) - x) / (2 * x1);
+ } while (x1 != x2);
+
+ if ((x1 * x1) > x) {
+ --x1;
+ }
+
+ return x1;
+}
+
+/* is the long prime by brute force */
+static int isprime(long k)
+{
+ long y, z;
+
+ y = i_sqrt(k);
+ for (z = 2; z <= y; z++) {
+ if ((k % z) == 0)
+ return 0;
+ }
+ return 1;
+}
+
+
+int main(void)
+{
+ mp_bool pp;
+ long k;
+ clock_t tt;
+
+ k = 3;
+
+ for (;;) {
+ /* start time */
+ tt = clock();
+
+ /* test if 2^k - 1 is prime */
+ if (is_mersenne(k, &pp) != MP_OKAY) {
+ printf("Whoa error\n");
+ return -1;
+ }
+
+ if (pp == MP_YES) {
+ /* count time */
+ tt = clock() - tt;
+
+ /* display if prime */
+ printf("2^%-5ld - 1 is prime, test took %ld ticks\n", k, (long)tt);
+ }
+
+ /* goto next odd exponent */
+ k += 2;
+
+ /* but make sure its prime */
+ while (isprime(k) == 0) {
+ k += 2;
+ }
+ }
+}