* This package is an SSL implementation written
* by Eric Young (eay@cryptsoft.com).
* The implementation was written so as to conform with Netscapes SSL.
- *
+ *
* This library is free for commercial and non-commercial use as long as
* the following conditions are aheared to. The following conditions
* apply to all code found in this distribution, be it the RC4, RSA,
* lhash, DES, etc., code; not just the SSL code. The SSL documentation
* included with this distribution is covered by the same copyright terms
* except that the holder is Tim Hudson (tjh@cryptsoft.com).
- *
+ *
* Copyright remains Eric Young's, and as such any Copyright notices in
* the code are not to be removed.
* If this package is used in a product, Eric Young should be given attribution
* as the author of the parts of the library used.
* This can be in the form of a textual message at program startup or
* in documentation (online or textual) provided with the package.
- *
+ *
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* Eric Young (eay@cryptsoft.com)"
* The word 'cryptographic' can be left out if the rouines from the library
* being used are not cryptographic related :-).
- * 4. If you include any Windows specific code (or a derivative thereof) from
+ * 4. If you include any Windows specific code (or a derivative thereof) from
* the apps directory (application code) you must include an acknowledgement:
* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
- *
+ *
* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
- *
+ *
* The licence and distribution terms for any publically available version or
* derivative of this code cannot be changed. i.e. this code cannot simply be
* copied and put under another distribution licence
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
- * Portions of the attached software ("Contribution") are developed by
+ * 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
+ * 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/x509.h>
#include <openssl/err.h>
-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 */
+#include "../crypto/bn/bn_lcl.h"
+
+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,BIGNUM *a_);
+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_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_div_recp(BIO *bp, BN_CTX *ctx);
int test_mul(BIO *bp);
-int test_sqr(BIO *bp,BN_CTX *ctx);
-int test_mont(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_sqr(BIO *bp, BN_CTX *ctx);
+int test_mont(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_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_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;
+static int results = 0;
-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 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 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);
- BIO_puts(out, "print \"test ");
- BIO_puts(out, m);
- BIO_puts(out, "\\n\"\n");
- }
+{
+ fprintf(stderr, "test %s\n", m);
+ BIO_puts(out, "print \"test ");
+ BIO_puts(out, m);
+ BIO_puts(out, "\\n\"\n");
+}
int main(int argc, char *argv[])
- {
- BN_CTX *ctx;
- BIO *out;
- char *outfile=NULL;
-
- results = 0;
-
- RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
-
- argc--;
- argv++;
- while (argc >= 1)
- {
- if (strcmp(*argv,"-results") == 0)
- results=1;
- else if (strcmp(*argv,"-out") == 0)
- {
- if (--argc < 1) break;
- outfile= *(++argv);
- }
- argc--;
- argv++;
- }
-
-
- ctx=BN_CTX_new();
- if (ctx == NULL) EXIT(1);
-
- out=BIO_new(BIO_s_file());
- if (out == NULL) EXIT(1);
- if (outfile == NULL)
- {
- BIO_set_fp(out,stdout,BIO_NOCLOSE);
- }
- else
- {
- if (!BIO_write_filename(out,outfile))
- {
- perror(outfile);
- EXIT(1);
- }
- }
-
- if (!results)
- BIO_puts(out,"obase=16\nibase=16\n");
-
- message(out,"BN_add");
- if (!test_add(out)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_sub");
- if (!test_sub(out)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_lshift1");
- if (!test_lshift1(out)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_lshift (fixed)");
- if (!test_lshift(out,ctx,BN_bin2bn(lst,sizeof(lst)-1,NULL)))
- goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_lshift");
- if (!test_lshift(out,ctx,NULL)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_rshift1");
- if (!test_rshift1(out)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_rshift");
- if (!test_rshift(out,ctx)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_sqr");
- if (!test_sqr(out,ctx)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_mul");
- if (!test_mul(out)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_div");
- if (!test_div(out,ctx)) goto err;
- (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;
- (void)BIO_flush(out);
-
- message(out,"BN_mod");
- if (!test_mod(out,ctx)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_mod_mul");
- if (!test_mod_mul(out,ctx)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_mont");
- if (!test_mont(out,ctx)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_mod_exp");
- if (!test_mod_exp(out,ctx)) goto err;
- (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;
- (void)BIO_flush(out);
-
- message(out,"BN_kronecker");
- if (!test_kron(out,ctx)) goto err;
- (void)BIO_flush(out);
-
- message(out,"BN_mod_sqrt");
- if (!test_sqrt(out,ctx)) goto err;
- (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);
+{
+ BN_CTX *ctx;
+ BIO *out;
+ char *outfile = NULL;
+
+ results = 0;
+
+ RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
+
+ argc--;
+ argv++;
+ while (argc >= 1) {
+ if (strcmp(*argv, "-results") == 0)
+ results = 1;
+ else if (strcmp(*argv, "-out") == 0) {
+ if (--argc < 1)
+ break;
+ outfile = *(++argv);
+ }
+ argc--;
+ argv++;
+ }
+
+ ctx = BN_CTX_new();
+ if (ctx == NULL)
+ EXIT(1);
+
+ out = BIO_new(BIO_s_file());
+ if (out == NULL)
+ EXIT(1);
+ if (outfile == NULL) {
+ BIO_set_fp(out, stdout, BIO_NOCLOSE);
+ } else {
+ if (!BIO_write_filename(out, outfile)) {
+ perror(outfile);
+ EXIT(1);
+ }
+ }
+
+ if (!results)
+ BIO_puts(out, "obase=16\nibase=16\n");
+
+ message(out, "BN_add");
+ if (!test_add(out))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_sub");
+ if (!test_sub(out))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_lshift1");
+ if (!test_lshift1(out))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_lshift (fixed)");
+ if (!test_lshift(out, ctx, BN_bin2bn(lst, sizeof(lst) - 1, NULL)))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_lshift");
+ if (!test_lshift(out, ctx, NULL))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_rshift1");
+ if (!test_rshift1(out))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_rshift");
+ if (!test_rshift(out, ctx))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_sqr");
+ if (!test_sqr(out, ctx))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_mul");
+ if (!test_mul(out))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_div");
+ if (!test_div(out, ctx))
+ goto err;
+ (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;
+ (void)BIO_flush(out);
+
+ message(out, "BN_mod");
+ if (!test_mod(out, ctx))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_mod_mul");
+ if (!test_mod_mul(out, ctx))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_mont");
+ if (!test_mont(out, ctx))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_mod_exp");
+ if (!test_mod_exp(out, ctx))
+ goto err;
+ (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;
+ (void)BIO_flush(out);
+
+ message(out, "BN_kronecker");
+ if (!test_kron(out, ctx))
+ goto err;
+ (void)BIO_flush(out);
+
+ message(out, "BN_mod_sqrt");
+ if (!test_sqrt(out, ctx))
+ goto err;
+ (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);
- message(out,"BN_GF2m_mod_solve_quad");
- if (!test_gf2m_mod_solve_quad(out,ctx)) goto err;
- (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);
-err:
- BIO_puts(out,"1\n"); /* make sure the Perl script fed by bc notices
- * the failure, see test_bn in test/Makefile.ssl*/
- (void)BIO_flush(out);
- ERR_load_crypto_strings();
- ERR_print_errors_fp(stderr);
- EXIT(1);
- return(1);
- }
+ 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 */
+ (void)BIO_flush(out);
+ ERR_load_crypto_strings();
+ ERR_print_errors_fp(stderr);
+ EXIT(1);
+}
int test_add(BIO *bp)
- {
- BIGNUM a,b,c;
- int i;
-
- BN_init(&a);
- BN_init(&b);
- BN_init(&c);
-
- BN_bntest_rand(&a,512,0,0);
- for (i=0; i<num0; i++)
- {
- BN_bntest_rand(&b,450+i,0,0);
- a.neg=rand_neg();
- b.neg=rand_neg();
- BN_add(&c,&a,&b);
- 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");
- }
- a.neg=!a.neg;
- b.neg=!b.neg;
- BN_add(&c,&c,&b);
- BN_add(&c,&c,&a);
- if(!BN_is_zero(&c))
- {
- fprintf(stderr,"Add test failed!\n");
- return 0;
- }
- }
- BN_free(&a);
- BN_free(&b);
- BN_free(&c);
- return(1);
- }
+{
+ BIGNUM *a, *b, *c;
+ int i;
+
+ a = BN_new();
+ b = BN_new();
+ c = BN_new();
+
+ BN_bntest_rand(a, 512, 0, 0);
+ for (i = 0; i < num0; i++) {
+ BN_bntest_rand(b, 450 + i, 0, 0);
+ a->neg = rand_neg();
+ b->neg = rand_neg();
+ BN_add(c, a, b);
+ 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");
+ }
+ a->neg = !a->neg;
+ b->neg = !b->neg;
+ BN_add(c, c, b);
+ BN_add(c, c, a);
+ if (!BN_is_zero(c)) {
+ fprintf(stderr, "Add test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ return (1);
+}
int test_sub(BIO *bp)
- {
- BIGNUM a,b,c;
- int i;
-
- BN_init(&a);
- BN_init(&b);
- BN_init(&c);
-
- for (i=0; i<num0+num1; i++)
- {
- if (i < num1)
- {
- 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_bntest_rand(&b,400+i-num1,0,0);
- a.neg=rand_neg();
- b.neg=rand_neg();
- }
- BN_sub(&c,&a,&b);
- 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");
- }
- BN_add(&c,&c,&b);
- BN_sub(&c,&c,&a);
- if(!BN_is_zero(&c))
- {
- fprintf(stderr,"Subtract test failed!\n");
- return 0;
- }
- }
- BN_free(&a);
- BN_free(&b);
- BN_free(&c);
- return(1);
- }
+{
+ BIGNUM *a, *b, *c;
+ int i;
+
+ a = BN_new();
+ b = BN_new();
+ c = BN_new();
+
+ for (i = 0; i < num0 + num1; i++) {
+ if (i < num1) {
+ 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_bntest_rand(b, 400 + i - num1, 0, 0);
+ a->neg = rand_neg();
+ b->neg = rand_neg();
+ }
+ BN_sub(c, a, b);
+ 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");
+ }
+ BN_add(c, c, b);
+ BN_sub(c, c, a);
+ if (!BN_is_zero(c)) {
+ fprintf(stderr, "Subtract test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ return (1);
+}
int test_div(BIO *bp, BN_CTX *ctx)
- {
- BIGNUM a,b,c,d,e;
- int i;
-
- BN_init(&a);
- BN_init(&b);
- BN_init(&c);
- BN_init(&d);
- BN_init(&e);
-
- for (i=0; i<num0+num1; i++)
- {
- if (i < num1)
- {
- BN_bntest_rand(&a,400,0,0);
- BN_copy(&b,&a);
- BN_lshift(&a,&a,i);
- BN_add_word(&a,i);
- }
- else
- BN_bntest_rand(&b,50+3*(i-num1),0,0);
- a.neg=rand_neg();
- b.neg=rand_neg();
- BN_div(&d,&c,&a,&b,ctx);
- if (bp != NULL)
- {
- if (!results)
- {
- BN_print(bp,&a);
- BIO_puts(bp," / ");
- BN_print(bp,&b);
- BIO_puts(bp," - ");
- }
- BN_print(bp,&d);
- BIO_puts(bp,"\n");
-
- if (!results)
- {
- BN_print(bp,&a);
- BIO_puts(bp," % ");
- BN_print(bp,&b);
- BIO_puts(bp," - ");
- }
- BN_print(bp,&c);
- BIO_puts(bp,"\n");
- }
- BN_mul(&e,&d,&b,ctx);
- BN_add(&d,&e,&c);
- BN_sub(&d,&d,&a);
- if(!BN_is_zero(&d))
- {
- fprintf(stderr,"Division test failed!\n");
- return 0;
- }
- }
- BN_free(&a);
- BN_free(&b);
- BN_free(&c);
- BN_free(&d);
- BN_free(&e);
- return(1);
- }
-
-static void print_word(BIO *bp,BN_ULONG w)
- {
+{
+ BIGNUM *a, *b, *c, *d, *e;
+ int i;
+
+ a = BN_new();
+ b = BN_new();
+ c = BN_new();
+ d = BN_new();
+ e = BN_new();
+
+ for (i = 0; i < num0 + num1; i++) {
+ if (i < num1) {
+ BN_bntest_rand(a, 400, 0, 0);
+ BN_copy(b, a);
+ BN_lshift(a, a, i);
+ BN_add_word(a, i);
+ } else
+ BN_bntest_rand(b, 50 + 3 * (i - num1), 0, 0);
+ a->neg = rand_neg();
+ b->neg = rand_neg();
+ BN_div(d, c, a, b, ctx);
+ if (bp != NULL) {
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " / ");
+ BN_print(bp, b);
+ BIO_puts(bp, " - ");
+ }
+ BN_print(bp, d);
+ BIO_puts(bp, "\n");
+
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " % ");
+ BN_print(bp, b);
+ BIO_puts(bp, " - ");
+ }
+ BN_print(bp, c);
+ BIO_puts(bp, "\n");
+ }
+ BN_mul(e, d, b, ctx);
+ BN_add(d, e, c);
+ BN_sub(d, d, a);
+ if (!BN_is_zero(d)) {
+ fprintf(stderr, "Division test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ 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;
- }
+ 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);
- }
+ 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);
- }
+{
+ BIGNUM *a, *b;
+ BN_ULONG r, s;
+ int i;
+
+ a = BN_new();
+ b = BN_new();
+
+ 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;
-
- BN_RECP_CTX_init(&recp);
- BN_init(&a);
- BN_init(&b);
- BN_init(&c);
- BN_init(&d);
- BN_init(&e);
-
- for (i=0; i<num0+num1; i++)
- {
- if (i < num1)
- {
- BN_bntest_rand(&a,400,0,0);
- BN_copy(&b,&a);
- BN_lshift(&a,&a,i);
- BN_add_word(&a,i);
- }
- else
- 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);
- BN_div_recp(&d,&c,&a,&recp,ctx);
- if (bp != NULL)
- {
- if (!results)
- {
- BN_print(bp,&a);
- BIO_puts(bp," / ");
- BN_print(bp,&b);
- BIO_puts(bp," - ");
- }
- BN_print(bp,&d);
- BIO_puts(bp,"\n");
-
- if (!results)
- {
- BN_print(bp,&a);
- BIO_puts(bp," % ");
- BN_print(bp,&b);
- BIO_puts(bp," - ");
- }
- BN_print(bp,&c);
- BIO_puts(bp,"\n");
- }
- BN_mul(&e,&d,&b,ctx);
- BN_add(&d,&e,&c);
- BN_sub(&d,&d,&a);
- if(!BN_is_zero(&d))
- {
- 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_free(&a);
- BN_free(&b);
- BN_free(&c);
- BN_free(&d);
- BN_free(&e);
- BN_RECP_CTX_free(&recp);
- return(1);
- }
+{
+ BIGNUM *a, *b, *c, *d, *e;
+ BN_RECP_CTX *recp;
+ int i;
+
+ recp = BN_RECP_CTX_new();
+ a = BN_new();
+ b = BN_new();
+ c = BN_new();
+ d = BN_new();
+ e = BN_new();
+
+ for (i = 0; i < num0 + num1; i++) {
+ if (i < num1) {
+ BN_bntest_rand(a, 400, 0, 0);
+ BN_copy(b, a);
+ BN_lshift(a, a, i);
+ BN_add_word(a, i);
+ } else
+ 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);
+ BN_div_recp(d, c, a, recp, ctx);
+ if (bp != NULL) {
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " / ");
+ BN_print(bp, b);
+ BIO_puts(bp, " - ");
+ }
+ BN_print(bp, d);
+ BIO_puts(bp, "\n");
+
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " % ");
+ BN_print(bp, b);
+ BIO_puts(bp, " - ");
+ }
+ BN_print(bp, c);
+ BIO_puts(bp, "\n");
+ }
+ BN_mul(e, d, b, ctx);
+ BN_add(d, e, c);
+ BN_sub(d, d, a);
+ if (!BN_is_zero(d)) {
+ 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_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_RECP_CTX_free(recp);
+ return (1);
+}
int test_mul(BIO *bp)
- {
- BIGNUM a,b,c,d,e;
- int i;
- BN_CTX *ctx;
-
- ctx = BN_CTX_new();
- if (ctx == NULL) EXIT(1);
-
- BN_init(&a);
- BN_init(&b);
- BN_init(&c);
- BN_init(&d);
- BN_init(&e);
-
- for (i=0; i<num0+num1; i++)
- {
- if (i <= num1)
- {
- BN_bntest_rand(&a,100,0,0);
- BN_bntest_rand(&b,100,0,0);
- }
- else
- BN_bntest_rand(&b,i-num1,0,0);
- a.neg=rand_neg();
- b.neg=rand_neg();
- BN_mul(&c,&a,&b,ctx);
- 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");
- }
- BN_div(&d,&e,&c,&a,ctx);
- BN_sub(&d,&d,&b);
- if(!BN_is_zero(&d) || !BN_is_zero(&e))
- {
- fprintf(stderr,"Multiplication test failed!\n");
- return 0;
- }
- }
- BN_free(&a);
- BN_free(&b);
- BN_free(&c);
- BN_free(&d);
- BN_free(&e);
- BN_CTX_free(ctx);
- return(1);
- }
+{
+ BIGNUM *a, *b, *c, *d, *e;
+ int i;
+ BN_CTX *ctx;
+
+ ctx = BN_CTX_new();
+ if (ctx == NULL)
+ EXIT(1);
+
+ a = BN_new();
+ b = BN_new();
+ c = BN_new();
+ d = BN_new();
+ e = BN_new();
+
+ for (i = 0; i < num0 + num1; i++) {
+ if (i <= num1) {
+ BN_bntest_rand(a, 100, 0, 0);
+ BN_bntest_rand(b, 100, 0, 0);
+ } else
+ BN_bntest_rand(b, i - num1, 0, 0);
+ a->neg = rand_neg();
+ b->neg = rand_neg();
+ BN_mul(c, a, b, ctx);
+ 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");
+ }
+ BN_div(d, e, c, a, ctx);
+ BN_sub(d, d, b);
+ if (!BN_is_zero(d) || !BN_is_zero(e)) {
+ fprintf(stderr, "Multiplication test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ BN_CTX_free(ctx);
+ return (1);
+}
int test_sqr(BIO *bp, BN_CTX *ctx)
- {
- BIGNUM a,c,d,e;
- int i;
-
- BN_init(&a);
- BN_init(&c);
- BN_init(&d);
- BN_init(&e);
-
- for (i=0; i<num0; i++)
- {
- 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);
- BIO_puts(bp," * ");
- BN_print(bp,&a);
- BIO_puts(bp," - ");
- }
- 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_free(&a);
- BN_free(&c);
- BN_free(&d);
- BN_free(&e);
- return(1);
- }
+{
+ BIGNUM *a, *c, *d, *e;
+ int i, ret = 0;
+
+ 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);
+ 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_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;
+ }
+ }
+
+ /* Regression test for a BN_sqr overflow bug. */
+ BN_hex2bn(&a,
+ "80000000000000008000000000000001"
+ "FFFFFFFFFFFFFFFE0000000000000000");
+ 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,
+ "80000000000000000000000080000001"
+ "FFFFFFFE000000000000000000000000");
+ 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)
- {
- BIGNUM a,b,c,d,A,B;
- BIGNUM n;
- int i;
- BN_MONT_CTX *mont;
-
- BN_init(&a);
- BN_init(&b);
- BN_init(&c);
- BN_init(&d);
- BN_init(&A);
- BN_init(&B);
- 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); /**/
- for (i=0; i<num2; i++)
- {
- int bits = (200*(i+1))/num2;
-
- if (bits == 0)
- continue;
- 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);
-
- BN_mod_mul_montgomery(&c,&A,&B,mont,ctx);/**/
- BN_from_montgomery(&A,&c,mont,ctx);/**/
- if (bp != NULL)
- {
- if (!results)
- {
-#ifdef undef
-fprintf(stderr,"%d * %d %% %d\n",
-BN_num_bits(&a),
-BN_num_bits(&b),
-BN_num_bits(mont->N));
-#endif
- BN_print(bp,&a);
- BIO_puts(bp," * ");
- BN_print(bp,&b);
- BIO_puts(bp," % ");
- BN_print(bp,&(mont->N));
- BIO_puts(bp," - ");
- }
- BN_print(bp,&A);
- BIO_puts(bp,"\n");
- }
- BN_mod_mul(&d,&a,&b,&n,ctx);
- BN_sub(&d,&d,&A);
- if(!BN_is_zero(&d))
- {
- fprintf(stderr,"Montgomery multiplication test failed!\n");
- return 0;
- }
- }
- BN_MONT_CTX_free(mont);
- BN_free(&a);
- BN_free(&b);
- BN_free(&c);
- BN_free(&d);
- BN_free(&A);
- BN_free(&B);
- BN_free(&n);
- return(1);
- }
+{
+ BIGNUM *a, *b, *c, *d, *A, *B;
+ BIGNUM *n;
+ int i;
+ BN_MONT_CTX *mont;
+
+ a = BN_new();
+ b = BN_new();
+ c = BN_new();
+ d = BN_new();
+ A = BN_new();
+ B = BN_new();
+ n = BN_new();
+
+ mont = BN_MONT_CTX_new();
+ if (mont == NULL)
+ return 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_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);
+
+ BN_mod_mul_montgomery(c, A, B, mont, ctx);
+ BN_from_montgomery(A, c, mont, ctx);
+ if (bp != NULL) {
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " * ");
+ BN_print(bp, b);
+ BIO_puts(bp, " % ");
+ BN_print(bp, &mont->N);
+ BIO_puts(bp, " - ");
+ }
+ BN_print(bp, A);
+ BIO_puts(bp, "\n");
+ }
+ BN_mod_mul(d, a, b, n, ctx);
+ BN_sub(d, d, A);
+ if (!BN_is_zero(d)) {
+ fprintf(stderr, "Montgomery multiplication test failed!\n");
+ return 0;
+ }
+ }
+ BN_MONT_CTX_free(mont);
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(A);
+ BN_free(B);
+ BN_free(n);
+ return (1);
+}
int test_mod(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(a,1024,0,0); /**/
- for (i=0; i<num0; i++)
- {
- BN_bntest_rand(b,450+i*10,0,0); /**/
- a->neg=rand_neg();
- b->neg=rand_neg();
- BN_mod(c,a,b,ctx);/**/
- 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");
- }
- BN_div(d,e,a,b,ctx);
- BN_sub(e,e,c);
- if(!BN_is_zero(e))
- {
- fprintf(stderr,"Modulo test failed!\n");
- return 0;
- }
- }
- BN_free(a);
- BN_free(b);
- BN_free(c);
- BN_free(d);
- BN_free(e);
- return(1);
- }
+{
+ 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(a, 1024, 0, 0);
+ for (i = 0; i < num0; i++) {
+ BN_bntest_rand(b, 450 + i * 10, 0, 0);
+ a->neg = rand_neg();
+ b->neg = rand_neg();
+ BN_mod(c, a, b, ctx);
+ 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");
+ }
+ BN_div(d, e, a, b, ctx);
+ BN_sub(e, e, c);
+ if (!BN_is_zero(e)) {
+ fprintf(stderr, "Modulo 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_mul(BIO *bp, BN_CTX *ctx)
- {
- BIGNUM *a,*b,*c,*d,*e;
- int i,j;
-
- a=BN_new();
- b=BN_new();
- c=BN_new();
- d=BN_new();
- e=BN_new();
-
- for (j=0; j<3; j++) {
- BN_bntest_rand(c,1024,0,0); /**/
- for (i=0; i<num0; i++)
- {
- 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 (!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);
- }
- if (bp != NULL)
- {
- if (!results)
- {
- BN_print(bp,a);
- BIO_puts(bp," * ");
- 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);
- BIO_puts(bp,"\n");
- }
- BN_mul(d,a,b,ctx);
- BN_sub(d,d,e);
- BN_div(a,b,d,c,ctx);
- if(!BN_is_zero(b))
- {
- fprintf(stderr,"Modulo multiply test failed!\n");
- ERR_print_errors_fp(stderr);
- return 0;
- }
- }
- }
- BN_free(a);
- BN_free(b);
- BN_free(c);
- BN_free(d);
- BN_free(e);
- return(1);
- }
+{
+ BIGNUM *a, *b, *c, *d, *e;
+ int i, j;
+
+ a = BN_new();
+ b = BN_new();
+ c = BN_new();
+ d = BN_new();
+ e = BN_new();
+
+ for (j = 0; j < 3; j++) {
+ BN_bntest_rand(c, 1024, 0, 0);
+ for (i = 0; i < num0; i++) {
+ 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 (!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);
+ }
+ if (bp != NULL) {
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " * ");
+ 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);
+ BIO_puts(bp, "\n");
+ }
+ BN_mul(d, a, b, ctx);
+ BN_sub(d, d, e);
+ BN_div(a, b, d, c, ctx);
+ if (!BN_is_zero(b)) {
+ fprintf(stderr, "Modulo multiply test failed!\n");
+ ERR_print_errors_fp(stderr);
+ return 0;
+ }
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return (1);
+}
int test_mod_exp(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(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);
- }
+{
+ 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(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)
- {
- 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);
- }
-
-/* Test constant-time modular exponentiation with 1024-bit inputs,
- * which on x86_64 cause a different code branch to be taken.
+{
+ 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);
+}
+
+/*
+ * 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;
- int i;
-
- 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);
- }
+{
+ 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;
- int i;
-
- a=BN_new();
- b=BN_new();
- d=BN_new();
- e=BN_new();
- one=BN_new();
- BN_one(one);
-
- 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_exp(d,a,b,ctx) <= 0)
- return(0);
-
- if (bp != NULL)
- {
- if (!results)
- {
- BN_print(bp,a);
- BIO_puts(bp," ^ ");
- BN_print(bp,b);
- BIO_puts(bp," - ");
- }
- BN_print(bp,d);
- BIO_puts(bp,"\n");
- }
- BN_one(e);
- for( ; !BN_is_zero(b) ; BN_sub(b,b,one))
- BN_mul(e,e,a,ctx);
- BN_sub(e,e,d);
- if(!BN_is_zero(e))
- {
- fprintf(stderr,"Exponentiation test failed!\n");
- return 0;
- }
- }
- BN_free(a);
- BN_free(b);
- BN_free(d);
- BN_free(e);
- BN_free(one);
- return(1);
- }
+{
+ BIGNUM *a, *b, *d, *e, *one;
+ int i;
+
+ a = BN_new();
+ b = BN_new();
+ d = BN_new();
+ e = BN_new();
+ one = BN_new();
+ BN_one(one);
+
+ 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_exp(d, a, b, ctx) <= 0)
+ return (0);
+
+ if (bp != NULL) {
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " ^ ");
+ BN_print(bp, b);
+ BIO_puts(bp, " - ");
+ }
+ BN_print(bp, d);
+ BIO_puts(bp, "\n");
+ }
+ BN_one(e);
+ for (; !BN_is_zero(b); BN_sub(b, b, one))
+ BN_mul(e, e, a, ctx);
+ BN_sub(e, e, d);
+ if (!BN_is_zero(e)) {
+ fprintf(stderr, "Exponentiation test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(d);
+ BN_free(e);
+ 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);
-
- 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;
- }
+{
+ BIGNUM *a, *b, *c;
+ int i, ret = 0;
+
+ a = BN_new();
+ b = BN_new();
+ c = BN_new();
+
+ 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);
+ /* 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;
- }
+{
+ 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]);
+ 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);
+ 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);
+ 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);
+ /* 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);
+ /* 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);
+ 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);
+ 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]);
+ 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;
+ }
+
+ }
+ }
+ }
+ 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 == 0) c='.';
- if (p == 1) c='+';
- if (p == 2) c='*';
- if (p == 3) c='\n';
- putc(c, stderr);
- fflush(stderr);
- return 1;
- }
+{
+ char c = '*';
+
+ if (p == 0)
+ c = '.';
+ if (p == 1)
+ c = '+';
+ if (p == 2)
+ c = '*';
+ if (p == 3)
+ c = '\n';
+ putc(c, stderr);
+ fflush(stderr);
+ return 1;
+}
int test_kron(BIO *bp, BN_CTX *ctx)
- {
- 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();
- 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)
- * 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 (!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) */
- 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_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, ", b = ");
- BN_print_fp(stderr, b);
- fprintf(stderr, "\n");
- goto err;
- }
-
- putc('.', stderr);
- fflush(stderr);
- }
-
- putc('\n', stderr);
- fflush(stderr);
- ret = 1;
+{
+ 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();
+ 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) 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 (!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) */
+ 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_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, ", b = ");
+ 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;
- }
+ 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;
-
- a = BN_new();
- 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)
- {
- 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_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_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;
+{
+ BN_GENCB cb;
+ 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;
+
+ BN_GENCB_set(&cb, genprime_cb, NULL);
+
+ 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_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_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;
- }
-
-int test_lshift(BIO *bp,BN_CTX *ctx,BIGNUM *a_)
- {
- BIGNUM *a,*b,*c,*d;
- int i;
-
- b=BN_new();
- c=BN_new();
- d=BN_new();
- BN_one(c);
-
- if(a_)
- a=a_;
- else
- {
- a=BN_new();
- BN_bntest_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);
- if (bp != NULL)
- {
- if (!results)
- {
- BN_print(bp,a);
- BIO_puts(bp," * ");
- BN_print(bp,c);
- BIO_puts(bp," - ");
- }
- BN_print(bp,b);
- BIO_puts(bp,"\n");
- }
- BN_mul(d,a,c,ctx);
- BN_sub(d,d,b);
- if(!BN_is_zero(d))
- {
- 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_free(a);
- BN_free(b);
- BN_free(c);
- BN_free(d);
- return(1);
- }
+ if (a != NULL)
+ BN_free(a);
+ if (p != NULL)
+ BN_free(p);
+ if (r != NULL)
+ BN_free(r);
+ return ret;
+}
+
+int test_small_prime(BIO *bp, BN_CTX *ctx)
+{
+ static const int bits = 10;
+ int ret = 0;
+ BIGNUM *r;
+
+ r = BN_new();
+ 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_free(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 };
+
+ r = BN_new();
+
+ 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_free(r);
+ return ret;
+}
+#endif
+int test_lshift(BIO *bp, BN_CTX *ctx, BIGNUM *a_)
+{
+ BIGNUM *a, *b, *c, *d;
+ int i;
+
+ b = BN_new();
+ c = BN_new();
+ d = BN_new();
+ BN_one(c);
+
+ if (a_)
+ a = a_;
+ else {
+ a = BN_new();
+ BN_bntest_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);
+ if (bp != NULL) {
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " * ");
+ BN_print(bp, c);
+ BIO_puts(bp, " - ");
+ }
+ BN_print(bp, b);
+ BIO_puts(bp, "\n");
+ }
+ BN_mul(d, a, c, ctx);
+ BN_sub(d, d, b);
+ if (!BN_is_zero(d)) {
+ 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_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ return (1);
+}
int test_lshift1(BIO *bp)
- {
- BIGNUM *a,*b,*c;
- int i;
-
- a=BN_new();
- b=BN_new();
- c=BN_new();
-
- BN_bntest_rand(a,200,0,0); /**/
- a->neg=rand_neg();
- for (i=0; i<num0; i++)
- {
- BN_lshift1(b,a);
- if (bp != NULL)
- {
- if (!results)
- {
- BN_print(bp,a);
- BIO_puts(bp," * 2");
- BIO_puts(bp," - ");
- }
- BN_print(bp,b);
- BIO_puts(bp,"\n");
- }
- BN_add(c,a,a);
- BN_sub(a,b,c);
- if(!BN_is_zero(a))
- {
- fprintf(stderr,"Left shift one test failed!\n");
- return 0;
- }
-
- BN_copy(a,b);
- }
- BN_free(a);
- BN_free(b);
- BN_free(c);
- return(1);
- }
-
-int test_rshift(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_one(c);
-
- BN_bntest_rand(a,200,0,0); /**/
- a->neg=rand_neg();
- for (i=0; i<num0; i++)
- {
- BN_rshift(b,a,i+1);
- BN_add(c,c,c);
- if (bp != NULL)
- {
- if (!results)
- {
- BN_print(bp,a);
- BIO_puts(bp," / ");
- BN_print(bp,c);
- BIO_puts(bp," - ");
- }
- BN_print(bp,b);
- BIO_puts(bp,"\n");
- }
- BN_div(d,e,a,c,ctx);
- BN_sub(d,d,b);
- if(!BN_is_zero(d))
- {
- fprintf(stderr,"Right shift test failed!\n");
- return 0;
- }
- }
- BN_free(a);
- BN_free(b);
- BN_free(c);
- BN_free(d);
- BN_free(e);
- return(1);
- }
+{
+ BIGNUM *a, *b, *c;
+ int i;
+
+ a = BN_new();
+ b = BN_new();
+ c = BN_new();
+
+ BN_bntest_rand(a, 200, 0, 0);
+ a->neg = rand_neg();
+ for (i = 0; i < num0; i++) {
+ BN_lshift1(b, a);
+ if (bp != NULL) {
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " * 2");
+ BIO_puts(bp, " - ");
+ }
+ BN_print(bp, b);
+ BIO_puts(bp, "\n");
+ }
+ BN_add(c, a, a);
+ BN_sub(a, b, c);
+ if (!BN_is_zero(a)) {
+ fprintf(stderr, "Left shift one test failed!\n");
+ return 0;
+ }
+
+ BN_copy(a, b);
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ return (1);
+}
+
+int test_rshift(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_one(c);
+
+ BN_bntest_rand(a, 200, 0, 0);
+ a->neg = rand_neg();
+ for (i = 0; i < num0; i++) {
+ BN_rshift(b, a, i + 1);
+ BN_add(c, c, c);
+ if (bp != NULL) {
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " / ");
+ BN_print(bp, c);
+ BIO_puts(bp, " - ");
+ }
+ BN_print(bp, b);
+ BIO_puts(bp, "\n");
+ }
+ BN_div(d, e, a, c, ctx);
+ BN_sub(d, d, b);
+ if (!BN_is_zero(d)) {
+ fprintf(stderr, "Right shift test failed!\n");
+ return 0;
+ }
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ BN_free(d);
+ BN_free(e);
+ return (1);
+}
int test_rshift1(BIO *bp)
- {
- BIGNUM *a,*b,*c;
- int i;
-
- a=BN_new();
- b=BN_new();
- c=BN_new();
-
- BN_bntest_rand(a,200,0,0); /**/
- a->neg=rand_neg();
- for (i=0; i<num0; i++)
- {
- BN_rshift1(b,a);
- if (bp != NULL)
- {
- if (!results)
- {
- BN_print(bp,a);
- BIO_puts(bp," / 2");
- BIO_puts(bp," - ");
- }
- BN_print(bp,b);
- BIO_puts(bp,"\n");
- }
- BN_sub(c,a,b);
- BN_sub(c,c,b);
- if(!BN_is_zero(c) && !BN_abs_is_word(c, 1))
- {
- fprintf(stderr,"Right shift one test failed!\n");
- return 0;
- }
- BN_copy(a,b);
- }
- BN_free(a);
- BN_free(b);
- BN_free(c);
- return(1);
- }
+{
+ BIGNUM *a, *b, *c;
+ int i;
+
+ a = BN_new();
+ b = BN_new();
+ c = BN_new();
+
+ BN_bntest_rand(a, 200, 0, 0);
+ a->neg = rand_neg();
+ for (i = 0; i < num0; i++) {
+ BN_rshift1(b, a);
+ if (bp != NULL) {
+ if (!results) {
+ BN_print(bp, a);
+ BIO_puts(bp, " / 2");
+ BIO_puts(bp, " - ");
+ }
+ BN_print(bp, b);
+ BIO_puts(bp, "\n");
+ }
+ BN_sub(c, a, b);
+ BN_sub(c, c, b);
+ if (!BN_is_zero(c) && !BN_abs_is_word(c, 1)) {
+ fprintf(stderr, "Right shift one test failed!\n");
+ return 0;
+ }
+ BN_copy(a, b);
+ }
+ BN_free(a);
+ BN_free(b);
+ BN_free(c);
+ return (1);
+}
int rand_neg(void)
- {
- static unsigned int neg=0;
- static int sign[8]={0,0,0,1,1,0,1,1};
+{
+ static unsigned int neg = 0;
+ static int sign[8] = { 0, 0, 0, 1, 1, 0, 1, 1 };
- return(sign[(neg++)%8]);
- }
+ return (sign[(neg++) % 8]);
+}
projects / openssl.git / blobdiff