#include "../bio/bss_file.c"
#endif
+const int num0 = 100; /* number of tests */
+const int num1 = 50; /* additional tests for some functions */
+const int num2 = 5; /* number of tests for slow functions */
+
int test_add(BIO *bp);
int test_sub(BIO *bp);
int test_lshift1(BIO *bp);
-int test_lshift(BIO *bp,BN_CTX *ctx);
+int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_);
int test_rshift1(BIO *bp);
int test_rshift(BIO *bp,BN_CTX *ctx);
int test_div(BIO *bp,BN_CTX *ctx);
int test_mod_mul(BIO *bp,BN_CTX *ctx);
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;
#include "bss_file.c"
#endif
+static unsigned char lst[]="\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
+"\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
+
+static const char rnd_seed[] = "string to make the random number generator think it has entropy";
+
+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[])
{
BN_CTX *ctx;
BIO *out;
char *outfile=NULL;
- srand((unsigned int)time(NULL));
+ 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) */
argc--;
argv++;
if (!results)
BIO_puts(out,"obase=16\nibase=16\n");
- fprintf(stderr,"test BN_add\n");
+#if 0
+ message(out,"BN_add");
if (!test_add(out)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_sub\n");
+ message(out,"BN_sub");
if (!test_sub(out)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_lshift1\n");
+ message(out,"BN_lshift1");
if (!test_lshift1(out)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_lshift\n");
- if (!test_lshift(out,ctx)) goto err;
- fflush(stdout);
+ message(out,"BN_lshift (fixed)");
+ if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
+ goto err;
+ BIO_flush(out);
- fprintf(stderr,"test BN_rshift1\n");
+ message(out,"BN_lshift");
+ if (!test_lshift(out,ctx,NULL)) goto err;
+ BIO_flush(out);
+
+ message(out,"BN_rshift1");
if (!test_rshift1(out)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_rshift\n");
+ message(out,"BN_rshift");
if (!test_rshift(out,ctx)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_sqr\n");
+ message(out,"BN_sqr");
if (!test_sqr(out,ctx)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_mul\n");
+ message(out,"BN_mul");
if (!test_mul(out)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_div\n");
+ message(out,"BN_div");
if (!test_div(out,ctx)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_div_recp\n");
+ message(out,"BN_div_recp");
if (!test_div_recp(out,ctx)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_mod\n");
+ message(out,"BN_mod");
if (!test_mod(out,ctx)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_mod_mul\n");
+ message(out,"BN_mod_mul");
if (!test_mod_mul(out,ctx)) goto err;
- fflush(stdout);
+ BIO_flush(out);
-/*
- fprintf(stderr,"test BN_mont\n");
+ message(out,"BN_mont");
if (!test_mont(out,ctx)) goto err;
- fflush(stdout);
-*/
- fprintf(stderr,"test BN_mod_exp\n");
+ BIO_flush(out);
+
+ message(out,"BN_mod_exp");
if (!test_mod_exp(out,ctx)) goto err;
- fflush(stdout);
+ BIO_flush(out);
- fprintf(stderr,"test BN_exp\n");
+ message(out,"BN_exp");
if (!test_exp(out,ctx)) goto err;
- fflush(stdout);
+ BIO_flush(out);
+#endif
+
+ message(out,"BN_kronecker");
+ 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);
/**/
exit(0);
err:
+ BIO_puts(out,"1\n"); /* make sure the Perl script fed by bc notices
+ * the failure, see test_bn in test/Makefile.ssl*/
+ BIO_flush(out);
ERR_load_crypto_strings();
- ERR_print_errors(out);
+ ERR_print_errors_fp(stderr);
exit(1);
return(1);
}
BN_init(&c);
BN_rand(&a,512,0,0);
- for (i=0; i<100; i++)
+ for (i=0; i<num0; i++)
{
BN_rand(&b,450+i,0,0);
a.neg=rand_neg();
BN_add(&c,&c,&a);
if(!BN_is_zero(&c))
{
- BIO_puts(bp,"Add test failed!\n");
+ fprintf(stderr,"Add test failed!\n");
return 0;
}
}
BN_init(&b);
BN_init(&c);
- BN_rand(&a,512,0,0);
- for (i=0; i<100; i++)
+ for (i=0; i<num0+num1; i++)
{
- BN_rand(&b,400+i,0,0);
- a.neg=rand_neg();
- b.neg=rand_neg();
+ if (i < num1)
+ {
+ BN_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);
+ 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,&c,&a);
if(!BN_is_zero(&c))
{
- BIO_puts(bp,"Subtract test failed!\n");
+ fprintf(stderr,"Subtract test failed!\n");
return 0;
}
}
BN_init(&d);
BN_init(&e);
- BN_rand(&a,400,0,0);
- for (i=0; i<100; i++)
+ for (i=0; i<num0+num1; i++)
{
- BN_rand(&b,50+i,0,0);
+ if (i < num1)
+ {
+ BN_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);
a.neg=rand_neg();
b.neg=rand_neg();
if (bp == NULL)
BN_sub(&d,&d,&a);
if(!BN_is_zero(&d))
{
- BIO_puts(bp,"Division test failed!\n");
+ fprintf(stderr,"Division test failed!\n");
return 0;
}
}
BN_init(&d);
BN_init(&e);
- BN_rand(&a,400,0,0);
- for (i=0; i<100; i++)
+ for (i=0; i<num0+num1; i++)
{
- BN_rand(&b,50+i,0,0);
+ if (i < num1)
+ {
+ BN_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);
a.neg=rand_neg();
b.neg=rand_neg();
BN_RECP_CTX_set(&recp,&b,ctx);
BN_sub(&d,&d,&a);
if(!BN_is_zero(&d))
{
- BIO_puts(bp,"Reciprocal division test failed!\n");
+ fprintf(stderr,"Reciprocal division test failed!\n");
+ fprintf(stderr,"a=");
+ BN_print_fp(stderr,&a);
+ fprintf(stderr,"\nb=");
+ BN_print_fp(stderr,&b);
+ fprintf(stderr,"\n");
return 0;
}
}
BN_init(&d);
BN_init(&e);
- BN_rand(&a,200,0,0);
- for (i=0; i<100; i++)
+ for (i=0; i<num0+num1; i++)
{
- BN_rand(&b,250+i,0,0);
- BN_rand(&b,200,0,0);
+ if (i <= num1)
+ {
+ BN_rand(&a,100,0,0);
+ BN_rand(&b,100,0,0);
+ }
+ else
+ BN_rand(&b,i-num1,0,0);
a.neg=rand_neg();
b.neg=rand_neg();
if (bp == NULL)
BN_sub(&d,&d,&b);
if(!BN_is_zero(&d) || !BN_is_zero(&e))
{
- BIO_puts(bp,"Multiplication test failed!\n");
+ fprintf(stderr,"Multiplication test failed!\n");
return 0;
}
}
BN_init(&d);
BN_init(&e);
- for (i=0; i<40; i++)
+ for (i=0; i<num0; i++)
{
BN_rand(&a,40+i*10,0,0);
a.neg=rand_neg();
BN_sub(&d,&d,&a);
if(!BN_is_zero(&d) || !BN_is_zero(&e))
{
- BIO_puts(bp,"Square test failed!\n");
+ fprintf(stderr,"Square test failed!\n");
return 0;
}
}
BN_rand(&a,100,0,0); /**/
BN_rand(&b,100,0,0); /**/
- for (i=0; i<10; i++)
+ for (i=0; i<num2; i++)
{
- BN_rand(&n,(100%BN_BITS2+1)*BN_BITS2*i*BN_BITS2,0,1); /**/
+ int bits = (200*(i+1))/num2;
+
+ if (bits == 0)
+ continue;
+ 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);
BN_sub(&d,&d,&A);
if(!BN_is_zero(&d))
{
- BIO_puts(bp,"Montgomery multiplication test failed!\n");
+ fprintf(stderr,"Montgomery multiplication test failed!\n");
return 0;
}
}
e=BN_new();
BN_rand(a,1024,0,0); /**/
- for (i=0; i<20; i++)
+ for (i=0; i<num0; i++)
{
BN_rand(b,450+i*10,0,0); /**/
a->neg=rand_neg();
BN_sub(e,e,c);
if(!BN_is_zero(e))
{
- BIO_puts(bp,"Modulo test failed!\n");
+ fprintf(stderr,"Modulo test failed!\n");
return 0;
}
}
e=BN_new();
BN_rand(c,1024,0,0); /**/
- for (i=0; i<10; i++)
+ for (i=0; i<num0; i++)
{
BN_rand(a,475+i*10,0,0); /**/
- BN_rand(b,425+i*10,0,0); /**/
+ BN_rand(b,425+i*11,0,0); /**/
a->neg=rand_neg();
b->neg=rand_neg();
/* if (bp == NULL)
BN_print(bp,b);
BIO_puts(bp," % ");
BN_print(bp,c);
+ if ((a->neg ^ b->neg) && !BN_is_zero(e))
+ {
+ /* If (a*b) % c is negative, c must be added
+ * in order to obtain the normalized remainder
+ * (new with OpenSSL 0.9.7, previous versions of
+ * BN_mod_mul could generate negative results)
+ */
+ BIO_puts(bp," + ");
+ BN_print(bp,c);
+ }
BIO_puts(bp," - ");
}
BN_print(bp,e);
BN_div(a,b,d,c,ctx);
if(!BN_is_zero(b))
{
- BIO_puts(bp,"Modulo multiply test failed!\n");
+ fprintf(stderr,"Modulo multiply test failed!\n");
+ ERR_print_errors_fp(stderr);
return 0;
}
}
e=BN_new();
BN_rand(c,30,0,1); /* must be odd for montgomery */
- for (i=0; i<6; i++)
+ for (i=0; i<num2; i++)
{
BN_rand(a,20+i*5,0,0); /**/
BN_rand(b,2+i,0,0); /**/
BN_div(a,b,e,c,ctx);
if(!BN_is_zero(b))
{
- BIO_puts(bp,"Modulo exponentiation test failed!\n");
+ fprintf(stderr,"Modulo exponentiation test failed!\n");
return 0;
}
}
one=BN_new();
BN_one(one);
- for (i=0; i<6; i++)
+ for (i=0; i<num2; i++)
{
BN_rand(a,20+i*5,0,0); /**/
BN_rand(b,2+i,0,0); /**/
BN_sub(e,e,d);
if(!BN_is_zero(e))
{
- BIO_puts(bp,"Exponentiation test failed!\n");
+ fprintf(stderr,"Exponentiation test failed!\n");
return 0;
}
}
return(1);
}
-int test_lshift(BIO *bp,BN_CTX *ctx)
+static void genprime_cb(int p, int n, void *arg)
+ {
+ char c='*';
+
+ if (p == 0) c='.';
+ if (p == 1) c='+';
+ if (p == 2) c='*';
+ if (p == 3) c='\n';
+ putc(c, stderr);
+ fflush(stderr);
+ (void)n;
+ (void)arg;
+ }
+
+int test_kron(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*r,*t;
+ int i;
+ int legendre, kronecker;
+ int ret = 0;
+
+ a = BN_new();
+ b = BN_new();
+ r = BN_new();
+ 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)
+ * is congruent to $a^{(b-1)/2}$, modulo $b$ (Legendre symbol).
+ * So we generate a random prime b and compare these values
+ * for a number of random a's. (That is, we run the Solovay-Strassen
+ * primality test to confirm that b is prime, except that we
+ * don't want to test whether b is prime but whether BN_kronecker
+ * works.) */
+
+#if 0
+ if (!BN_generate_prime(b, 512, 0, NULL, NULL, genprime_cb, NULL)) goto err;
+#else
+ BN_set_word(b,65537);
+#endif
+ putc('\n', stderr);
+
+ for (i = 0; i < num0; i++)
+ {
+ if (!BN_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;
+ if (!BN_sub_word(t, 1)) goto err;
+ if (!BN_rshift1(t, t)) goto err;
+ /* r := a^t mod b */
+#if 1
+ if (!BN_mod_exp(r, a, t, b, ctx)) goto err;
+#elif 0
+ if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err;
+#else
+ if (!BN_mod_exp_simple(r, a, t, b, ctx)) goto err;
+#endif
+
+ if (BN_is_word(r, 1))
+ legendre = 1;
+ else
+ {
+ if (!BN_add_word(r, 1)) goto err;
+ if (0 != BN_cmp(r, b))
+ {
+ fprintf(stderr, "Legendre symbol computation failed\n");
+ goto err;
+ }
+ legendre = -1;
+ }
+
+ kronecker = BN_kronecker(a, b, ctx);
+ if (kronecker < -1) goto err;
+
+ if (legendre != kronecker)
+ {
+ fprintf(stderr, "legendre != kronecker; a = ");
+ BN_print_fp(stderr, a);
+ fprintf(stderr, ", a = ");
+ BN_print_fp(stderr, b);
+ fprintf(stderr, "\n");
+ goto err;
+ }
+
+ putc('.', stderr);
+ fflush(stderr);
+ }
+
+ putc('\n', stderr);
+ fflush(stderr);
+ ret = 1;
+ 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);
+ }
+
+ 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;
int i;
- a=BN_new();
b=BN_new();
c=BN_new();
d=BN_new();
BN_one(c);
- BN_rand(a,200,0,0); /**/
- a->neg=rand_neg();
- for (i=0; i<70; i++)
+ if(a_)
+ a=a_;
+ else
+ {
+ a=BN_new();
+ BN_rand(a,200,0,0); /**/
+ a->neg=rand_neg();
+ }
+ for (i=0; i<num0; i++)
{
BN_lshift(b,a,i+1);
BN_add(c,c,c);
BN_sub(d,d,b);
if(!BN_is_zero(d))
{
- BIO_puts(bp,"Left shift test failed!\n");
+ fprintf(stderr,"Left shift test failed!\n");
+ fprintf(stderr,"a=");
+ BN_print_fp(stderr,a);
+ fprintf(stderr,"\nb=");
+ BN_print_fp(stderr,b);
+ fprintf(stderr,"\nc=");
+ BN_print_fp(stderr,c);
+ fprintf(stderr,"\nd=");
+ BN_print_fp(stderr,d);
+ fprintf(stderr,"\n");
return 0;
}
}
BN_rand(a,200,0,0); /**/
a->neg=rand_neg();
- for (i=0; i<70; i++)
+ for (i=0; i<num0; i++)
{
BN_lshift1(b,a);
if (bp != NULL)
BN_sub(a,b,c);
if(!BN_is_zero(a))
{
- BIO_puts(bp,"Left shift one test failed!\n");
+ fprintf(stderr,"Left shift one test failed!\n");
return 0;
}
BN_rand(a,200,0,0); /**/
a->neg=rand_neg();
- for (i=0; i<70; i++)
+ for (i=0; i<num0; i++)
{
BN_rshift(b,a,i+1);
BN_add(c,c,c);
BN_sub(d,d,b);
if(!BN_is_zero(d))
{
- BIO_puts(bp,"Right shift test failed!\n");
+ fprintf(stderr,"Right shift test failed!\n");
return 0;
}
}
BN_rand(a,200,0,0); /**/
a->neg=rand_neg();
- for (i=0; i<70; i++)
+ for (i=0; i<num0; i++)
{
BN_rshift1(b,a);
if (bp != NULL)
BN_sub(c,c,b);
if(!BN_is_zero(c) && !BN_is_one(c))
{
- BIO_puts(bp,"Right shift one test failed!\n");
+ fprintf(stderr,"Right shift one test failed!\n");
return 0;
}
BN_copy(a,b);
projects / openssl.git / blobdiff