summaryrefslogtreecommitdiffstats
path: root/test/bntest.c
diff options
context:
space:
mode:
Diffstat (limited to 'test/bntest.c')
-rw-r--r--test/bntest.c2003
1 files changed, 2003 insertions, 0 deletions
diff --git a/test/bntest.c b/test/bntest.c
new file mode 100644
index 0000000000..521858ae16
--- /dev/null
+++ b/test/bntest.c
@@ -0,0 +1,2003 @@
+/* crypto/bn/bntest.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * 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:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * 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
+ * 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
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * 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
+ * [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 "e_os.h"
+
+#include <openssl/bio.h>
+#include <openssl/bn.h>
+#include <openssl/rand.h>
+#include <openssl/x509.h>
+#include <openssl/err.h>
+
+#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_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_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_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;
+
+static unsigned char lst[] =
+ "\xC6\x4F\x43\x04\x2A\xEA\xCA\x6E\x58\x36\x80\x5B\xE8\xC9"
+ "\x9B\x04\x5D\x48\x36\xC2\xFD\x16\xC9\x64\xF0";
+
+static const char rnd_seed[] =
+ "string to make the random number generator think it has entropy";
+
+static void message(BIO *out, char *m)
+{
+ fprintf(stderr, "test %s\n", m);
+ 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);
+
+ 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);
+ 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;
+
+ 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;
+
+ 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;
+
+ 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;
+ }
+#endif
+ BIO_printf(bp, BN_HEX_FMT1, w);
+}
+
+int test_div_word(BIO *bp)
+{
+ 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;
+
+ 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);
+
+ 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, 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;
+
+ 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);
+}
+
+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);
+}
+
+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);
+}
+
+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.
+ */
+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;
+ 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;
+
+ 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 adde