* 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.
+ *
+ */
#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
+#include "../crypto/bn/bn_lcl.h"
const int num0 = 100; /* number of tests */
const int num1 = 50; /* additional tests for some 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_mod_exp_mont5(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 test_small_prime(BIO *bp,BN_CTX *ctx);
+int test_probable_prime_coprime(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";
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);
}
}
message(out,"BN_add");
if (!test_add(out)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_sub");
if (!test_sub(out)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_lshift1");
if (!test_lshift1(out)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_lshift (fixed)");
if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_lshift");
if (!test_lshift(out,ctx,NULL)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_rshift1");
if (!test_rshift1(out)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_rshift");
if (!test_rshift(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_sqr");
if (!test_sqr(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_mul");
if (!test_mul(out)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_div");
if (!test_div(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
+
+ message(out,"BN_div_word");
+ if (!test_div_word(out)) goto err;
+ (void)BIO_flush(out);
message(out,"BN_div_recp");
if (!test_div_recp(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_mod");
if (!test_mod(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_mod_mul");
if (!test_mod_mul(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_mont");
if (!test_mont(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_mod_exp");
if (!test_mod_exp(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
+
+ message(out,"BN_mod_exp_mont_consttime");
+ if (!test_mod_exp_mont_consttime(out,ctx)) goto err;
+ if (!test_mod_exp_mont5(out,ctx)) goto err;
+ (void)BIO_flush(out);
message(out,"BN_exp");
if (!test_exp(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_kronecker");
if (!test_kron(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
message(out,"BN_mod_sqrt");
if (!test_sqrt(out,ctx)) goto err;
- BIO_flush(out);
+ (void)BIO_flush(out);
+
+ message(out,"Small prime generation");
+ if (!test_small_prime(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+#ifdef OPENSSL_SYS_WIN32
+ message(out,"Probable prime generation with coprimes disabled");
+#else
+ message(out,"Probable prime generation with coprimes");
+ if (!test_probable_prime_coprime(out,ctx)) goto err;
+#endif
+ (void)BIO_flush(out);
+
+#ifndef OPENSSL_NO_EC2M
+ message(out,"BN_GF2m_add");
+ if (!test_gf2m_add(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod");
+ if (!test_gf2m_mod(out)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_mul");
+ if (!test_gf2m_mod_mul(out,ctx)) goto err;
+ (void)BIO_flush(out);
+ message(out,"BN_GF2m_mod_sqr");
+ if (!test_gf2m_mod_sqr(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_inv");
+ if (!test_gf2m_mod_inv(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_div");
+ if (!test_gf2m_mod_div(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_exp");
+ if (!test_gf2m_mod_exp(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_sqrt");
+ if (!test_gf2m_mod_sqrt(out,ctx)) goto err;
+ (void)BIO_flush(out);
+
+ message(out,"BN_GF2m_mod_solve_quad");
+ if (!test_gf2m_mod_solve_quad(out,ctx)) goto err;
+ (void)BIO_flush(out);
+#endif
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);
+ (void)BIO_flush(out);
ERR_load_crypto_strings();
ERR_print_errors_fp(stderr);
- exit(1);
+ EXIT(1);
return(1);
}
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;
{
BIGNUM a,b,c,d,e;
int i;
- 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);
BN_bntest_rand(&b,i-num1,0,0);
a.neg=rand_neg();
b.neg=rand_neg();
- 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);
}
int test_sqr(BIO *bp, BN_CTX *ctx)
{
- BIGNUM a,c,d,e;
- int i;
+ BIGNUM *a,*c,*d,*e;
+ int i, ret = 0;
- BN_init(&a);
- BN_init(&c);
- BN_init(&d);
- BN_init(&e);
+ a = BN_new();
+ c = BN_new();
+ d = BN_new();
+ e = BN_new();
+ if (a == NULL || c == NULL || d == NULL || e == NULL)
+ {
+ goto err;
+ }
for (i=0; i<num0; i++)
{
- BN_bntest_rand(&a,40+i*10,0,0);
- a.neg=rand_neg();
- BN_sqr(&c,&a,ctx);
+ BN_bntest_rand(a,40+i*10,0,0);
+ a->neg=rand_neg();
+ BN_sqr(c,a,ctx);
if (bp != NULL)
{
if (!results)
{
- BN_print(bp,&a);
+ BN_print(bp,a);
BIO_puts(bp," * ");
- BN_print(bp,&a);
+ BN_print(bp,a);
BIO_puts(bp," - ");
}
- BN_print(bp,&c);
+ BN_print(bp,c);
BIO_puts(bp,"\n");
}
- BN_div(&d,&e,&c,&a,ctx);
- BN_sub(&d,&d,&a);
- if(!BN_is_zero(&d) || !BN_is_zero(&e))
- {
- fprintf(stderr,"Square test failed!\n");
- return 0;
- }
+ BN_div(d,e,c,a,ctx);
+ BN_sub(d,d,a);
+ if(!BN_is_zero(d) || !BN_is_zero(e))
+ {
+ fprintf(stderr,"Square test failed!\n");
+ goto err;
+ }
}
- BN_free(&a);
- BN_free(&c);
- BN_free(&d);
- BN_free(&e);
- return(1);
+
+ /* Regression test for a BN_sqr overflow bug. */
+ BN_hex2bn(&a,
+ "80000000000000008000000000000001FFFFFFFFFFFFFFFE0000000000000000");
+ BN_sqr(c, a, ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,a);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,c);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(d, a, a, ctx);
+ if (BN_cmp(c, d))
+ {
+ fprintf(stderr, "Square test failed: BN_sqr and BN_mul produce "
+ "different results!\n");
+ goto err;
+ }
+
+ /* Regression test for a BN_sqr overflow bug. */
+ BN_hex2bn(&a,
+ "80000000000000000000000080000001FFFFFFFE000000000000000000000000");
+ BN_sqr(c, a, ctx);
+ if (bp != NULL)
+ {
+ if (!results)
+ {
+ BN_print(bp,a);
+ BIO_puts(bp," * ");
+ BN_print(bp,a);
+ BIO_puts(bp," - ");
+ }
+ BN_print(bp,c);
+ BIO_puts(bp,"\n");
+ }
+ BN_mul(d, a, a, ctx);
+ if (BN_cmp(c, d))
+ {
+ fprintf(stderr, "Square test failed: BN_sqr and BN_mul produce "
+ "different results!\n");
+ goto err;
+ }
+ ret = 1;
+err:
+ if (a != NULL) BN_free(a);
+ if (c != NULL) BN_free(c);
+ if (d != NULL) BN_free(d);
+ if (e != NULL) BN_free(e);
+ return ret;
}
int test_mont(BIO *bp, BN_CTX *ctx)
BN_init(&n);
mont=BN_MONT_CTX_new();
+ if (mont == NULL)
+ return 0;
BN_bntest_rand(&a,100,0,0); /**/
BN_bntest_rand(&b,100,0,0); /**/
while ((l=ERR_get_error()))
fprintf(stderr,"ERROR:%s\n",
ERR_error_string(l,NULL));
- exit(1);
+ EXIT(1);
}
if (bp != NULL)
{
BN_bntest_rand(b,2+i,0,0); /**/
if (!BN_mod_exp(d,a,b,c,ctx))
+ return(0);
+
+ 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_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)
return(1);
}
+/* Test constant-time modular exponentiation with 1024-bit inputs,
+ * which on x86_64 cause a different code branch to be taken.
+ */
+int test_mod_exp_mont5(BIO *bp, BN_CTX *ctx)
+ {
+ BIGNUM *a,*p,*m,*d,*e;
+
+ BN_MONT_CTX *mont;
+
+ a=BN_new();
+ p=BN_new();
+ m=BN_new();
+ d=BN_new();
+ e=BN_new();
+
+ mont = BN_MONT_CTX_new();
+
+ BN_bntest_rand(m,1024,0,1); /* must be odd for montgomery */
+ /* Zero exponent */
+ BN_bntest_rand(a,1024,0,0);
+ BN_zero(p);
+ if(!BN_mod_exp_mont_consttime(d,a,p,m,ctx,NULL))
+ return 0;
+ if(!BN_is_one(d))
+ {
+ fprintf(stderr, "Modular exponentiation test failed!\n");
+ return 0;
+ }
+ /* Zero input */
+ BN_bntest_rand(p,1024,0,0);
+ BN_zero(a);
+ if(!BN_mod_exp_mont_consttime(d,a,p,m,ctx,NULL))
+ return 0;
+ if(!BN_is_zero(d))
+ {
+ fprintf(stderr, "Modular exponentiation test failed!\n");
+ return 0;
+ }
+ /* Craft an input whose Montgomery representation is 1,
+ * i.e., shorter than the modulus m, in order to test
+ * the const time precomputation scattering/gathering.
+ */
+ BN_one(a);
+ BN_MONT_CTX_set(mont,m,ctx);
+ if(!BN_from_montgomery(e,a,mont,ctx))
+ return 0;
+ if(!BN_mod_exp_mont_consttime(d,e,p,m,ctx,NULL))
+ return 0;
+ if(!BN_mod_exp_simple(a,e,p,m,ctx))
+ return 0;
+ if(BN_cmp(a,d) != 0)
+ {
+ fprintf(stderr,"Modular exponentiation test failed!\n");
+ return 0;
+ }
+ /* Finally, some regular test vectors. */
+ BN_bntest_rand(e,1024,0,0);
+ if(!BN_mod_exp_mont_consttime(d,e,p,m,ctx,NULL))
+ return 0;
+ if(!BN_mod_exp_simple(a,e,p,m,ctx))
+ return 0;
+ if(BN_cmp(a,d) != 0)
+ {
+ fprintf(stderr,"Modular exponentiation test failed!\n");
+ return 0;
+ }
+ BN_free(a);
+ BN_free(p);
+ BN_free(m);
+ BN_free(d);
+ BN_free(e);
+ return(1);
+ }
+
int test_exp(BIO *bp, BN_CTX *ctx)
{
BIGNUM *a,*b,*d,*e,*one;
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);
+ if (BN_exp(d,a,b,ctx) <= 0)
+ return(0);
if (bp != NULL)
{
BN_free(one);
return(1);
}
+#ifndef OPENSSL_NO_EC2M
+int test_gf2m_add(BIO *bp)
+ {
+ BIGNUM a,b,c;
+ int i, ret = 0;
+
+ BN_init(&a);
+ BN_init(&b);
+ BN_init(&c);
-static void genprime_cb(int p, int n, void *arg)
+ 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;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ 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;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ 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;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ 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;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ 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;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ 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;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ 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;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ 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;
+ int p0[] = {163,7,6,3,0,-1};
+ int p1[] = {193,15,0,-1};
+
+ 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;
+ }
+#endif
+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)
{
+ BN_GENCB cb;
BIGNUM *a,*b,*r,*t;
int i;
int legendre, kronecker;
r = BN_new();
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_bntest_rand(a, 512, 0, 0)) goto err;
a->neg = rand_neg();
- /* t := (b-1)/2 (note that b is odd) */
+ /* 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 */
- if (!BN_mod_exp(r, a, t, b, ctx)) goto err;
+ 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_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;
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)
{
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++)
{
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;
return ret;
}
+int test_small_prime(BIO *bp,BN_CTX *ctx)
+ {
+ static const int bits = 10;
+ int ret = 0;
+ BIGNUM r;
+
+ BN_init(&r);
+ if (!BN_generate_prime_ex(&r, bits, 0, NULL, NULL, NULL))
+ goto err;
+ if (BN_num_bits(&r) != bits)
+ {
+ BIO_printf(bp, "Expected %d bit prime, got %d bit number\n", bits, BN_num_bits(&r));
+ goto err;
+ }
+
+ ret = 1;
+
+err:
+ BN_clear(&r);
+ return ret;
+ }
+#ifndef OPENSSL_SYS_WIN32
+int test_probable_prime_coprime(BIO *bp, BN_CTX *ctx)
+ {
+ int i, j, ret = 0;
+ BIGNUM r;
+ BN_ULONG primes[5] = { 2, 3, 5, 7, 11 };
+
+ BN_init(&r);
+
+ for (i = 0; i < 1000; i++)
+ {
+ if (!bn_probable_prime_dh_coprime(&r, 1024, ctx)) goto err;
+
+ for (j = 0; j < 5; j++)
+ {
+ if (BN_mod_word(&r, primes[j]) == 0)
+ {
+ BIO_printf(bp, "Number generated is not coprime to %ld:\n", primes[j]);
+ BN_print_fp(stdout, &r);
+ BIO_printf(bp, "\n");
+ goto err;
+ }
+ }
+ }
+
+ ret = 1;
+
+err:
+ BN_clear(&r);
+ return ret;
+ }
+#endif
int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
{
BIGNUM *a,*b,*c,*d;
}
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