int test_mod_exp(BIO *bp,BN_CTX *ctx);
int test_exp(BIO *bp,BN_CTX *ctx);
int test_kron(BIO *bp,BN_CTX *ctx);
+int test_sqrt(BIO *bp,BN_CTX *ctx);
int rand_neg(void);
static int results=0;
if (!test_kron(out,ctx)) goto err;
BIO_flush(out);
+ message(out,"BN_mod_sqrt");
+ if (!test_sqrt(out,ctx)) goto err;
+ BIO_flush(out);
+
BN_CTX_free(ctx);
BIO_free(out);
BN_rand(&n,bits,0,1);
BN_MONT_CTX_set(mont,&n,ctx);
+ BN_nnmod(&a,&a,&n,ctx);
+ BN_nnmod(&b,&b,&n,ctx);
+
BN_to_montgomery(&A,&a,mont,ctx);
BN_to_montgomery(&B,&b,mont,ctx);
if (!BN_generate_prime(b, 512, 0, NULL, NULL, genprime_cb, NULL)) goto err;
putc('\n', stderr);
- if (1 != BN_is_prime(b, 10, NULL, ctx, NULL))
- {
- fprintf(stderr, "BN_is_prime failed\n");
- goto err;
- }
for (i = 0; i < num0; i++)
{
if (!BN_rand(a, 512, 0, 0)) goto err;
- if (!BN_nnmod(a, a, b, ctx)) goto err;
-
+ a->neg = rand_neg();
+
/* r := (b-1)/2 (note that b is odd) */
if (!BN_copy(r, b)) goto err;
if (!BN_sub_word(r, 1)) goto err;
return ret;
}
+int test_sqrt(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*p,*r;
+ int i, j;
+ int ret = 0;
+
+ a = BN_new();
+ p = BN_new();
+ r = BN_new();
+ if (a == NULL || p == NULL || r == NULL) goto err;
+
+ for (i = 0; i < 16; i++)
+ {
+ if (i < 8)
+ {
+ unsigned primes[8] = { 2, 3, 5, 7, 11, 13, 17, 19 };
+
+ if (!BN_set_word(p, primes[i])) goto err;
+ }
+ else
+ {
+ if (!BN_set_word(a, 32)) goto err;
+ if (!BN_set_word(r, 2*i + 1)) goto err;
+
+ if (!BN_generate_prime(p, 256, 0, a, r, genprime_cb, NULL)) goto err;
+ putc('\n', stderr);
+ }
+
+ for (j = 0; j < num2; j++)
+ {
+ /* construct 'a' such that it is a square modulo p,
+ * but in general not a proper square and not reduced modulo p */
+ if (!BN_rand(r, 256, 0, 3)) goto err;
+ if (!BN_nnmod(r, r, p, ctx)) goto err;
+ if (!BN_mod_sqr(r, r, p, ctx)) goto err;
+ if (!BN_rand(a, 256, 0, 3)) goto err;
+ if (!BN_nnmod(a, a, p, ctx)) goto err;
+ if (!BN_mod_sqr(a, a, p, ctx)) goto err;
+ if (!BN_mul(a, a, r, ctx)) goto err;
+
+ if (!BN_mod_sqrt(r, a, p, ctx)) goto err;
+ if (!BN_mod_sqr(r, r, p, ctx)) goto err;
+
+ if (!BN_nnmod(a, a, p, ctx)) goto err;
+
+ if (BN_cmp(a, r) != 0)
+ {
+ fprintf(stderr, "BN_mod_sqrt failed: a = ");
+ BN_print_fp(stderr, a);
+ fprintf(stderr, ", r = ");
+ BN_print_fp(stderr, r);
+ fprintf(stderr, ", p = ");
+ BN_print_fp(stderr, p);
+ fprintf(stderr, "\n");
+ goto err;
+ }
+
+ putc('.', stderr);
+ fflush(stderr);
+ }
+
+ putc('\n', stderr);
+ fflush(stderr);
+ }
+ ret = 1;
+ err:
+ if (a != NULL) BN_free(a);
+ if (p != NULL) BN_free(p);
+ if (r != NULL) BN_free(r);
+ return ret;
+ }
+
int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
{
BIGNUM *a,*b,*c,*d;