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;
static void message(BIO *out, char *m)
{
fprintf(stderr, "test %s\n", m);
-#if defined(linux) || defined(__FreeBSD__) /* can we use GNU bc features? */
BIO_puts(out, "print \"test ");
BIO_puts(out, m);
BIO_puts(out, "\\n\"\n");
-#endif
}
int main(int argc, char *argv[])
results = 0;
- RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_rand may fail, and we don't
- * even check its return value
- * (which we should) */
+ RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
argc--;
argv++;
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);
{
BIGNUM a,b,c;
int i;
- int j;
BN_init(&a);
BN_init(&b);
BN_init(&c);
- BN_rand(&a,512,0,0);
+ BN_bntest_rand(&a,512,0,0);
for (i=0; i<num0; i++)
{
- BN_rand(&b,450+i,0,0);
+ BN_bntest_rand(&b,450+i,0,0);
a.neg=rand_neg();
b.neg=rand_neg();
- if (bp == NULL)
- for (j=0; j<10000; j++)
- BN_add(&c,&a,&b);
BN_add(&c,&a,&b);
if (bp != NULL)
{
{
BIGNUM a,b,c;
int i;
- int j;
BN_init(&a);
BN_init(&b);
{
if (i < num1)
{
- BN_rand(&a,512,0,0);
+ BN_bntest_rand(&a,512,0,0);
BN_copy(&b,&a);
if (BN_set_bit(&a,i)==0) return(0);
BN_add_word(&b,i);
}
else
{
- BN_rand(&b,400+i-num1,0,0);
+ BN_bntest_rand(&b,400+i-num1,0,0);
a.neg=rand_neg();
b.neg=rand_neg();
}
- if (bp == NULL)
- for (j=0; j<10000; j++)
- BN_sub(&c,&a,&b);
BN_sub(&c,&a,&b);
if (bp != NULL)
{
{
BIGNUM a,b,c,d,e;
int i;
- int j;
BN_init(&a);
BN_init(&b);
{
if (i < num1)
{
- BN_rand(&a,400,0,0);
+ BN_bntest_rand(&a,400,0,0);
BN_copy(&b,&a);
BN_lshift(&a,&a,i);
BN_add_word(&a,i);
}
else
- BN_rand(&b,50+3*(i-num1),0,0);
+ BN_bntest_rand(&b,50+3*(i-num1),0,0);
a.neg=rand_neg();
b.neg=rand_neg();
- if (bp == NULL)
- for (j=0; j<100; j++)
- BN_div(&d,&c,&a,&b,ctx);
BN_div(&d,&c,&a,&b,ctx);
if (bp != NULL)
{
BIGNUM a,b,c,d,e;
BN_RECP_CTX recp;
int i;
- int j;
BN_RECP_CTX_init(&recp);
BN_init(&a);
{
if (i < num1)
{
- BN_rand(&a,400,0,0);
+ BN_bntest_rand(&a,400,0,0);
BN_copy(&b,&a);
BN_lshift(&a,&a,i);
BN_add_word(&a,i);
}
else
- BN_rand(&b,50+3*(i-num1),0,0);
+ BN_bntest_rand(&b,50+3*(i-num1),0,0);
a.neg=rand_neg();
b.neg=rand_neg();
BN_RECP_CTX_set(&recp,&b,ctx);
- if (bp == NULL)
- for (j=0; j<100; j++)
- BN_div_recp(&d,&c,&a,&recp,ctx);
BN_div_recp(&d,&c,&a,&recp,ctx);
if (bp != NULL)
{
{
BIGNUM a,b,c,d,e;
int i;
- int j;
BN_CTX ctx;
BN_CTX_init(&ctx);
{
if (i <= num1)
{
- BN_rand(&a,100,0,0);
- BN_rand(&b,100,0,0);
+ BN_bntest_rand(&a,100,0,0);
+ BN_bntest_rand(&b,100,0,0);
}
else
- BN_rand(&b,i-num1,0,0);
+ BN_bntest_rand(&b,i-num1,0,0);
a.neg=rand_neg();
b.neg=rand_neg();
- if (bp == NULL)
- for (j=0; j<100; j++)
- BN_mul(&c,&a,&b,&ctx);
BN_mul(&c,&a,&b,&ctx);
if (bp != NULL)
{
{
BIGNUM a,c,d,e;
int i;
- int j;
BN_init(&a);
BN_init(&c);
for (i=0; i<num0; i++)
{
- BN_rand(&a,40+i*10,0,0);
+ BN_bntest_rand(&a,40+i*10,0,0);
a.neg=rand_neg();
- if (bp == NULL)
- for (j=0; j<100; j++)
- BN_sqr(&c,&a,ctx);
BN_sqr(&c,&a,ctx);
if (bp != NULL)
{
BIGNUM a,b,c,d,A,B;
BIGNUM n;
int i;
- int j;
BN_MONT_CTX *mont;
BN_init(&a);
mont=BN_MONT_CTX_new();
- BN_rand(&a,100,0,0); /**/
- BN_rand(&b,100,0,0); /**/
+ BN_bntest_rand(&a,100,0,0); /**/
+ BN_bntest_rand(&b,100,0,0); /**/
for (i=0; i<num2; i++)
{
int bits = (200*(i+1))/num2;
if (bits == 0)
continue;
- BN_rand(&n,bits,0,1);
+ BN_bntest_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 (bp == NULL)
- for (j=0; j<100; j++)
- BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
BN_from_montgomery(&A,&c,mont,ctx);/**/
if (bp != NULL)
{
BIGNUM *a,*b,*c,*d,*e;
int i;
- int j;
a=BN_new();
b=BN_new();
d=BN_new();
e=BN_new();
- BN_rand(a,1024,0,0); /**/
+ BN_bntest_rand(a,1024,0,0); /**/
for (i=0; i<num0; i++)
{
- BN_rand(b,450+i*10,0,0); /**/
+ BN_bntest_rand(b,450+i*10,0,0); /**/
a->neg=rand_neg();
b->neg=rand_neg();
- if (bp == NULL)
- for (j=0; j<100; j++)
- BN_mod(c,a,b,ctx);/**/
BN_mod(c,a,b,ctx);/**/
if (bp != NULL)
{
int test_mod_mul(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a,*b,*c,*d,*e;
- int i;
+ int i,j;
a=BN_new();
b=BN_new();
d=BN_new();
e=BN_new();
- BN_rand(c,1024,0,0); /**/
+ for (j=0; j<3; j++) {
+ BN_bntest_rand(c,1024,0,0); /**/
for (i=0; i<num0; i++)
{
- BN_rand(a,475+i*10,0,0); /**/
- BN_rand(b,425+i*11,0,0); /**/
+ BN_bntest_rand(a,475+i*10,0,0); /**/
+ BN_bntest_rand(b,425+i*11,0,0); /**/
a->neg=rand_neg();
b->neg=rand_neg();
- /* if (bp == NULL)
- for (j=0; j<100; j++)
- BN_mod_mul(d,a,b,c,ctx);*/ /**/
-
if (!BN_mod_mul(e,a,b,c,ctx))
{
unsigned long l;
return 0;
}
}
+ }
BN_free(a);
BN_free(b);
BN_free(c);
d=BN_new();
e=BN_new();
- BN_rand(c,30,0,1); /* must be odd for montgomery */
+ BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
for (i=0; i<num2; i++)
{
- BN_rand(a,20+i*5,0,0); /**/
- BN_rand(b,2+i,0,0); /**/
+ BN_bntest_rand(a,20+i*5,0,0); /**/
+ BN_bntest_rand(b,2+i,0,0); /**/
if (!BN_mod_exp(d,a,b,c,ctx))
return(00);
for (i=0; i<num2; i++)
{
- BN_rand(a,20+i*5,0,0); /**/
- BN_rand(b,2+i,0,0); /**/
+ BN_bntest_rand(a,20+i*5,0,0); /**/
+ BN_bntest_rand(b,2+i,0,0); /**/
if (!BN_exp(d,a,b,ctx))
return(00);
int test_kron(BIO *bp, BN_CTX *ctx)
{
- BIGNUM *a,*b,*r;
+ BIGNUM *a,*b,*r,*t;
int i;
int legendre, kronecker;
int ret = 0;
a = BN_new();
b = BN_new();
r = BN_new();
- if (a == NULL || b == NULL || r == NULL) goto err;
+ t = BN_new();
+ if (a == NULL || b == NULL || r == NULL || t == NULL) goto err;
/* We test BN_kronecker(a, b, ctx) just for b odd (Jacobi symbol).
* In this case we know that if b is prime, then BN_kronecker(a, b, ctx)
* works.) */
if (!BN_generate_prime(b, 512, 0, NULL, NULL, genprime_cb, NULL)) goto err;
+ b->neg = rand_neg();
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;
+ if (!BN_bntest_rand(a, 512, 0, 0)) goto err;
+ a->neg = rand_neg();
+
+ /* t := (|b|-1)/2 (note that b is odd) */
+ if (!BN_copy(t, b)) goto err;
+ t->neg = 0;
+ if (!BN_sub_word(t, 1)) goto err;
+ if (!BN_rshift1(t, t)) goto err;
+ /* r := a^t mod b */
+ b->neg=0;
- /* r := (b-1)/2 (note that b is odd) */
- if (!BN_copy(r, b)) goto err;
- if (!BN_sub_word(r, 1)) goto err;
- if (!BN_rshift1(r, r)) goto err;
- /* r := a^r mod b */
- if (!BN_mod_exp(r, a, r, b, ctx)) goto err;
+ if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err; /* XXX should be BN_mod_exp_recp, but ..._recp triggers a bug that must be fixed */
+ b->neg=1;
if (BN_is_word(r, 1))
legendre = 1;
+ else if (BN_is_zero(r))
+ legendre = 0;
else
{
if (!BN_add_word(r, 1)) goto err;
- if (0 != BN_cmp(r, b))
+ if (0 != BN_ucmp(r, b))
{
fprintf(stderr, "Legendre symbol computation failed\n");
goto err;
}
legendre = -1;
}
-
+
kronecker = BN_kronecker(a, b, ctx);
if (kronecker < -1) goto err;
+ /* we actually need BN_kronecker(a, |b|) */
+ if (a->neg && b->neg)
+ kronecker = -kronecker;
if (legendre != kronecker)
{
fprintf(stderr, "legendre != kronecker; a = ");
BN_print_fp(stderr, a);
- fprintf(stderr, ", a = ");
+ fprintf(stderr, ", b = ");
BN_print_fp(stderr, b);
fprintf(stderr, "\n");
goto err;
if (a != NULL) BN_free(a);
if (b != NULL) BN_free(b);
if (r != NULL) BN_free(r);
+ if (t != NULL) BN_free(t);
+ 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);
+ }
+ p->neg = rand_neg();
+
+ 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_bntest_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_bntest_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 (rand_neg())
+ if (!BN_sub(a, a, p)) 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;
}
else
{
a=BN_new();
- BN_rand(a,200,0,0); /**/
+ BN_bntest_rand(a,200,0,0); /**/
a->neg=rand_neg();
}
for (i=0; i<num0; i++)
b=BN_new();
c=BN_new();
- BN_rand(a,200,0,0); /**/
+ BN_bntest_rand(a,200,0,0); /**/
a->neg=rand_neg();
for (i=0; i<num0; i++)
{
e=BN_new();
BN_one(c);
- BN_rand(a,200,0,0); /**/
+ BN_bntest_rand(a,200,0,0); /**/
a->neg=rand_neg();
for (i=0; i<num0; i++)
{
b=BN_new();
c=BN_new();
- BN_rand(a,200,0,0); /**/
+ BN_bntest_rand(a,200,0,0); /**/
a->neg=rand_neg();
for (i=0; i<num0; i++)
{
}
BN_sub(c,a,b);
BN_sub(c,c,b);
- if(!BN_is_zero(c) && !BN_is_one(c))
+ if(!BN_is_zero(c) && !BN_abs_is_word(c, 1))
{
fprintf(stderr,"Right shift one test failed!\n");
return 0;
projects / openssl.git / blobdiff