* copied and put under another distribution licence
* [including the GNU Public Licence.]
*/
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ *
+ * Portions of the attached software ("Contribution") are developed by
+ * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
+ *
+ * The Contribution is licensed pursuant to the Eric Young open source
+ * license provided above.
+ *
+ * The binary polynomial arithmetic software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
+ *
+ */
+
+/* Until the key-gen callbacks are modified to use newer prototypes, we allow
+ * deprecated functions for openssl-internal code */
+#ifdef OPENSSL_NO_DEPRECATED
+#undef OPENSSL_NO_DEPRECATED
+#endif
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
-#include "openssl/e_os.h"
+#include "e_os.h"
#include <openssl/bio.h>
#include <openssl/bn.h>
#include <openssl/x509.h>
#include <openssl/err.h>
-#ifdef WINDOWS
-#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_rshift1(BIO *bp);
int test_rshift(BIO *bp,BN_CTX *ctx);
int test_div(BIO *bp,BN_CTX *ctx);
+int test_div_word(BIO *bp);
int test_div_recp(BIO *bp,BN_CTX *ctx);
int test_mul(BIO *bp);
int test_sqr(BIO *bp,BN_CTX *ctx);
int test_mod(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_mod_exp_mont_consttime(BIO *bp,BN_CTX *ctx);
int test_exp(BIO *bp,BN_CTX *ctx);
+int test_gf2m_add(BIO *bp);
+int test_gf2m_mod(BIO *bp);
+int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx);
+int test_gf2m_mod_solve_quad(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;
-#ifdef NO_STDIO
-#define APPS_WIN16
-#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 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++;
ctx=BN_CTX_new();
- if (ctx == NULL) exit(1);
+ if (ctx == NULL) EXIT(1);
out=BIO_new(BIO_s_file());
- if (out == NULL) exit(1);
+ if (out == NULL) EXIT(1);
if (outfile == NULL)
{
BIO_set_fp(out,stdout,BIO_NOCLOSE);
if (!BIO_write_filename(out,outfile))
{
perror(outfile);
- exit(1);
+ EXIT(1);
}
}
if (!test_div(out,ctx)) goto err;
BIO_flush(out);
+ message(out,"BN_div_word");
+ if (!test_div_word(out)) goto err;
+ BIO_flush(out);
+
message(out,"BN_div_recp");
if (!test_div_recp(out,ctx)) goto err;
BIO_flush(out);
if (!test_mod_exp(out,ctx)) goto err;
BIO_flush(out);
+ message(out,"BN_mod_exp_mont_consttime");
+ if (!test_mod_exp_mont_consttime(out,ctx)) goto err;
+ BIO_flush(out);
+
message(out,"BN_exp");
if (!test_exp(out,ctx)) goto err;
BIO_flush(out);
if (!test_sqrt(out,ctx)) goto err;
BIO_flush(out);
+ message(out,"BN_GF2m_add");
+ if (!test_gf2m_add(out)) goto err;
+ BIO_flush(out);
+
+ message(out,"BN_GF2m_mod");
+ if (!test_gf2m_mod(out)) goto err;
+ BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_mul");
+ if (!test_gf2m_mod_mul(out,ctx)) goto err;
+ BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_sqr");
+ if (!test_gf2m_mod_sqr(out,ctx)) goto err;
+ BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_inv");
+ if (!test_gf2m_mod_inv(out,ctx)) goto err;
+ BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_div");
+ if (!test_gf2m_mod_div(out,ctx)) goto err;
+ BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_exp");
+ if (!test_gf2m_mod_exp(out,ctx)) goto err;
+ BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_sqrt");
+ if (!test_gf2m_mod_sqrt(out,ctx)) goto err;
+ BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_solve_quad");
+ if (!test_gf2m_mod_solve_quad(out,ctx)) goto err;
+ BIO_flush(out);
+
BN_CTX_free(ctx);
BIO_free(out);
/**/
- exit(0);
+ 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_fp(stderr);
- exit(1);
+ EXIT(1);
return(1);
}
{
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)
{
return(1);
}
+static void print_word(BIO *bp,BN_ULONG w)
+ {
+#ifdef SIXTY_FOUR_BIT
+ if (sizeof(w) > sizeof(unsigned long))
+ {
+ unsigned long h=(unsigned long)(w>>32),
+ l=(unsigned long)(w);
+
+ if (h) BIO_printf(bp,"%lX%08lX",h,l);
+ else BIO_printf(bp,"%lX",l);
+ return;
+ }
+#endif
+ BIO_printf(bp,BN_HEX_FMT1,w);
+ }
+
+int test_div_word(BIO *bp)
+ {
+ BIGNUM a,b;
+ BN_ULONG r,s;
+ int i;
+
+ BN_init(&a);
+ BN_init(&b);
+
+ for (i=0; i<num0; i++)
+ {
+ do {
+ BN_bntest_rand(&a,512,-1,0);
+ BN_bntest_rand(&b,BN_BITS2,-1,0);
+ s = b.d[0];
+ } while (!s);
+
+ BN_copy(&b, &a);
+ r = BN_div_word(&b, s);
+
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," / ");
+ print_word(bp,s);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,&b);
+ BIO_puts(bp,"\n");
+
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," % ");
+ print_word(bp,s);
+ BIO_puts(bp," - ");
+ }
+ print_word(bp,r);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul_word(&b,s);
+ BN_add_word(&b,r);
+ BN_sub(&b,&a,&b);
+ if(!BN_is_zero(&b))
+ {
+ fprintf(stderr,"Division (word) test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(&a);
+ BN_free(&b);
+ return(1);
+ }
+
int test_div_recp(BIO *bp, BN_CTX *ctx)
{
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 *ctx;
- BN_CTX_init(&ctx);
+ ctx = BN_CTX_new();
+ if (ctx == NULL) EXIT(1);
+
BN_init(&a);
BN_init(&b);
BN_init(&c);
{
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);
+ BN_mul(&c,&a,&b,ctx);
if (bp != NULL)
{
if (!results)
BN_print(bp,&c);
BIO_puts(bp,"\n");
}
- BN_div(&d,&e,&c,&a,&ctx);
+ BN_div(&d,&e,&c,&a,ctx);
BN_sub(&d,&d,&b);
if(!BN_is_zero(&d) || !BN_is_zero(&e))
{
BN_free(&c);
BN_free(&d);
BN_free(&e);
- BN_CTX_free(&ctx);
+ BN_CTX_free(ctx);
return(1);
}
{
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);
BN_init(&n);
mont=BN_MONT_CTX_new();
+ if (mont == NULL)
+ return 0;
- 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_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;
while ((l=ERR_get_error()))
fprintf(stderr,"ERROR:%s\n",
ERR_error_string(l,NULL));
- exit(1);
+ EXIT(1);
}
if (bp != NULL)
{
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);
return(1);
}
+int test_mod_exp_mont_consttime(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*b,*c,*d,*e;
+ int i;
+
+ a=BN_new();
+ b=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_bntest_rand(c,30,0,1); /* must be odd for montgomery */
+ for (i=0; i<num2; i++)
+ {
+ BN_bntest_rand(a,20+i*5,0,0); /**/
+ BN_bntest_rand(b,2+i,0,0); /**/
+
+ if (!BN_mod_exp_mont_consttime(d,a,b,c,ctx,NULL))
+ return(00);
+
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," ^ ");
+ BN_print(bp,b);
+ BIO_puts(bp," % ");
+ BN_print(bp,c);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,d);
+ BIO_puts(bp,"\n");
+ }
+ BN_exp(e,a,b,ctx);
+ BN_sub(e,e,d);
+ BN_div(a,b,e,c,ctx);
+ if(!BN_is_zero(b))
+ {
+ fprintf(stderr,"Modulo exponentiation test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
int test_exp(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a,*b,*d,*e,*one;
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);
return(1);
}
-static void genprime_cb(int p, int n, void *arg)
+int test_gf2m_add(BIO *bp)
+ {
+ BIGNUM a,b,c;
+ int i, ret = 0;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_rand(&a,512,0,0);
+ BN_copy(&b, BN_value_one());
+ a.neg=rand_neg();
+ b.neg=rand_neg();
+ BN_GF2m_add(&c,&a,&b);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,&a);
+ BIO_puts(bp," ^ ");
+ BN_print(bp,&b);
+ BIO_puts(bp," = ");
+ }
+ BN_print(bp,&c);
+ BIO_puts(bp,"\n");
+ }
+#endif
+ /* Test that two added values have the correct parity. */
+ if((BN_is_odd(&a) && BN_is_odd(&c)) || (!BN_is_odd(&a) && !BN_is_odd(&c)))
+ {
+ fprintf(stderr,"GF(2^m) addition test (a) failed!\n");
+ goto err;
+ }
+ BN_GF2m_add(&c,&c,&c);
+ /* Test that c + c = 0. */
+ if(!BN_is_zero(&c))
+ {
+ fprintf(stderr,"GF(2^m) addition test (b) failed!\n");
+ goto err;
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(&a);
+ BN_free(&b);
+ BN_free(&c);
+ return ret;
+ }
+
+int test_gf2m_mod(BIO *bp)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 1024, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod(c, a, b[j]);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp," - ");
+ BN_print(bp,c);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(d, a, c);
+ BN_GF2m_mod(e, d, b[j]);
+ /* Test that a + (a mod p) mod p == 0. */
+ if(!BN_is_zero(e))
+ {
+ fprintf(stderr,"GF(2^m) modulo test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return ret;
+ }
+
+int test_gf2m_mod_mul(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f,*g,*h;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+ g=BN_new();
+ h=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 1024, 0, 0);
+ BN_bntest_rand(c, 1024, 0, 0);
+ BN_bntest_rand(d, 1024, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_mul(e, a, c, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,c);
+ BIO_puts(bp," % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp," - ");
+ BN_print(bp,e);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(f, a, d);
+ BN_GF2m_mod_mul(g, f, c, b[j], ctx);
+ BN_GF2m_mod_mul(h, d, c, b[j], ctx);
+ BN_GF2m_add(f, e, g);
+ BN_GF2m_add(f, f, h);
+ /* Test that (a+d)*c = a*c + d*c. */
+ if(!BN_is_zero(f))
+ {
+ fprintf(stderr,"GF(2^m) modular multiplication test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ BN_free(g);
+ BN_free(h);
+ return ret;
+ }
+
+int test_gf2m_mod_sqr(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 1024, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_sqr(c, a, b[j], ctx);
+ BN_copy(d, a);
+ BN_GF2m_mod_mul(d, a, d, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," ^ 2 % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp, " = ");
+ BN_print(bp,c);
+ BIO_puts(bp,"; a * a = ");
+ BN_print(bp,d);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(d, c, d);
+ /* Test that a*a = a^2. */
+ if(!BN_is_zero(d))
+ {
+ fprintf(stderr,"GF(2^m) modular squaring test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ return ret;
+ }
+
+int test_gf2m_mod_inv(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_inv(c, a, b[j], ctx);
+ BN_GF2m_mod_mul(d, a, c, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp, " * ");
+ BN_print(bp,c);
+ BIO_puts(bp," - 1 % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ /* Test that ((1/a)*a) = 1. */
+ if(!BN_is_one(d))
+ {
+ fprintf(stderr,"GF(2^m) modular inversion test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ return ret;
+ }
+
+int test_gf2m_mod_div(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ BN_bntest_rand(c, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_div(d, a, c, b[j], ctx);
+ BN_GF2m_mod_mul(e, d, c, b[j], ctx);
+ BN_GF2m_mod_div(f, a, e, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp, " = ");
+ BN_print(bp,c);
+ BIO_puts(bp," * ");
+ BN_print(bp,d);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ /* Test that ((a/c)*c)/a = 1. */
+ if(!BN_is_one(f))
+ {
+ fprintf(stderr,"GF(2^m) modular division test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ return ret;
+ }
+
+int test_gf2m_mod_exp(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ BN_bntest_rand(c, 512, 0, 0);
+ BN_bntest_rand(d, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod_exp(e, a, c, b[j], ctx);
+ BN_GF2m_mod_exp(f, a, d, b[j], ctx);
+ BN_GF2m_mod_mul(e, e, f, b[j], ctx);
+ BN_add(f, c, d);
+ BN_GF2m_mod_exp(f, a, f, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp, " ^ (");
+ BN_print(bp,c);
+ BIO_puts(bp," + ");
+ BN_print(bp,d);
+ BIO_puts(bp, ") = ");
+ BN_print(bp,e);
+ BIO_puts(bp, "; - ");
+ BN_print(bp,f);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(f, e, f);
+ /* Test that a^(c+d)=a^c*a^d. */
+ if(!BN_is_zero(f))
+ {
+ fprintf(stderr,"GF(2^m) modular exponentiation test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ return ret;
+ }
+
+int test_gf2m_mod_sqrt(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e,*f;
+ int i, j, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+ f=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ BN_GF2m_mod(c, a, b[j]);
+ BN_GF2m_mod_sqrt(d, a, b[j], ctx);
+ BN_GF2m_mod_sqr(e, d, b[j], ctx);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,d);
+ BIO_puts(bp, " ^ 2 - ");
+ BN_print(bp,a);
+ BIO_puts(bp,"\n");
+ }
+ }
+#endif
+ BN_GF2m_add(f, c, e);
+ /* Test that d^2 = a, where d = sqrt(a). */
+ if(!BN_is_zero(f))
+ {
+ fprintf(stderr,"GF(2^m) modular square root test failed!\n");
+ goto err;
+ }
+ }
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_free(f);
+ return ret;
+ }
+
+int test_gf2m_mod_solve_quad(BIO *bp,BN_CTX *ctx)
+ {
+ BIGNUM *a,*b[2],*c,*d,*e;
+ int i, j, s = 0, t, ret = 0;
+ unsigned int p0[] = {163,7,6,3,0};
+ unsigned int p1[] = {193,15,0};
+
+ a=BN_new();
+ b[0]=BN_new();
+ b[1]=BN_new();
+ c=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ BN_GF2m_arr2poly(p0, b[0]);
+ BN_GF2m_arr2poly(p1, b[1]);
+
+ for (i=0; i<num0; i++)
+ {
+ BN_bntest_rand(a, 512, 0, 0);
+ for (j=0; j < 2; j++)
+ {
+ t = BN_GF2m_mod_solve_quad(c, a, b[j], ctx);
+ if (t)
+ {
+ s++;
+ BN_GF2m_mod_sqr(d, c, b[j], ctx);
+ BN_GF2m_add(d, c, d);
+ BN_GF2m_mod(e, a, b[j]);
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,c);
+ BIO_puts(bp, " is root of z^2 + z = ");
+ BN_print(bp,a);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp, "\n");
+ }
+ }
+#endif
+ BN_GF2m_add(e, e, d);
+ /* Test that solution of quadratic c satisfies c^2 + c = a. */
+ if(!BN_is_zero(e))
+ {
+ fprintf(stderr,"GF(2^m) modular solve quadratic test failed!\n");
+ goto err;
+ }
+
+ }
+ else
+ {
+#if 0 /* make test uses ouput in bc but bc can't handle GF(2^m) arithmetic */
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BIO_puts(bp, "There are no roots of z^2 + z = ");
+ BN_print(bp,a);
+ BIO_puts(bp, " % ");
+ BN_print(bp,b[j]);
+ BIO_puts(bp, "\n");
+ }
+ }
+#endif
+ }
+ }
+ }
+ if (s == 0)
+ {
+ fprintf(stderr,"All %i tests of GF(2^m) modular solve quadratic resulted in no roots;\n", num0);
+ fprintf(stderr,"this is very unlikely and probably indicates an error.\n");
+ goto err;
+ }
+ ret = 1;
+ err:
+ BN_free(a);
+ BN_free(b[0]);
+ BN_free(b[1]);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return ret;
+ }
+
+static int genprime_cb(int p, int n, BN_GENCB *arg)
{
char c='*';
if (p == 3) c='\n';
putc(c, stderr);
fflush(stderr);
- (void)n;
- (void)arg;
+ return 1;
}
int test_kron(BIO *bp, BN_CTX *ctx)
{
- BIGNUM *a,*b,*r;
+ BN_GENCB cb;
+ 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;
+
+ BN_GENCB_set(&cb, genprime_cb, NULL);
/* 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)
* don't want to test whether b is prime but whether BN_kronecker
* works.) */
- if (!BN_generate_prime(b, 512, 0, NULL, NULL, genprime_cb, NULL)) goto err;
+ if (!BN_generate_prime_ex(b, 512, 0, NULL, NULL, &cb)) goto err;
+ b->neg = rand_neg();
putc('\n', stderr);
for (i = 0; i < num0; i++)
{
- if (!BN_rand(a, 512, 0, 0)) goto err;
+ if (!BN_bntest_rand(a, 512, 0, 0)) 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;
- if (!BN_rshift1(r, r)) goto err;
- /* r := a^r mod b */
-#if 0 /* These three variants should produce the same result, but with
- * BN_mod_exp_recp or BN_mod_exp_simple, the test fails with
- * the "Legendre symbol computation failed" error.
- * (Platform: debug-solaris-sparcv9-gcc)
- */
- if (!BN_mod_exp(r, a, r, b, ctx)) goto err;
-#elsif 0
- if (!BN_mod_exp_recp(r, a, r, b, ctx)) goto err;
-#else
- if (!BN_mod_exp_simple(r, a, r, b, ctx)) goto err;
-#endif
+ /* 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;
+
+ if (!BN_mod_exp_recp(r, a, t, b, ctx)) goto err;
+ 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)
{
+ BN_GENCB cb;
BIGNUM *a,*p,*r;
int i, j;
int ret = 0;
p = BN_new();
r = BN_new();
if (a == NULL || p == NULL || r == NULL) goto err;
-
+
+ BN_GENCB_set(&cb, genprime_cb, NULL);
+
for (i = 0; i < 16; i++)
{
if (i < 8)
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;
+ if (!BN_generate_prime_ex(p, 256, 0, a, r, &cb)) 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_rand(r, 256, 0, 3)) goto err;
+ 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_rand(a, 256, 0, 3)) 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;
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