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- /*
- * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
- *
- * Licensed under the OpenSSL license (the "License"). You may not use
- * this file except in compliance with the License. You can obtain a copy
- * in the file LICENSE in the source distribution or at
- * https://www.openssl.org/source/license.html
- */
- #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/err.h>
- #define NUM_BITS (BN_BITS2 * 4)
- static const char rnd_seed[] =
- "string to make the random number generator think it has entropy";
- /*
- * Test that r == 0 in test_exp_mod_zero(). Returns one on success,
- * returns zero and prints debug output otherwise.
- */
- static int a_is_zero_mod_one(const char *method, const BIGNUM *r,
- const BIGNUM *a) {
- if (!BN_is_zero(r)) {
- fprintf(stderr, "%s failed:\n", method);
- fprintf(stderr, "a ** 0 mod 1 = r (should be 0)\n");
- fprintf(stderr, "a = ");
- BN_print_fp(stderr, a);
- fprintf(stderr, "\nr = ");
- BN_print_fp(stderr, r);
- fprintf(stderr, "\n");
- return 0;
- }
- return 1;
- }
- /*
- * test_exp_mod_zero tests that x**0 mod 1 == 0. It returns zero on success.
- */
- static int test_exp_mod_zero()
- {
- BIGNUM *a = NULL, *p = NULL, *m = NULL;
- BIGNUM *r = NULL;
- BN_ULONG one_word = 1;
- BN_CTX *ctx = BN_CTX_new();
- int ret = 1, failed = 0;
- m = BN_new();
- if (!m)
- goto err;
- BN_one(m);
- a = BN_new();
- if (!a)
- goto err;
- BN_one(a);
- p = BN_new();
- if (!p)
- goto err;
- BN_zero(p);
- r = BN_new();
- if (!r)
- goto err;
- if (!BN_rand(a, 1024, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY))
- goto err;
- if (!BN_mod_exp(r, a, p, m, ctx))
- goto err;
- if (!a_is_zero_mod_one("BN_mod_exp", r, a))
- failed = 1;
- if (!BN_mod_exp_recp(r, a, p, m, ctx))
- goto err;
- if (!a_is_zero_mod_one("BN_mod_exp_recp", r, a))
- failed = 1;
- if (!BN_mod_exp_simple(r, a, p, m, ctx))
- goto err;
- if (!a_is_zero_mod_one("BN_mod_exp_simple", r, a))
- failed = 1;
- if (!BN_mod_exp_mont(r, a, p, m, ctx, NULL))
- goto err;
- if (!a_is_zero_mod_one("BN_mod_exp_mont", r, a))
- failed = 1;
- if (!BN_mod_exp_mont_consttime(r, a, p, m, ctx, NULL)) {
- goto err;
- }
- if (!a_is_zero_mod_one("BN_mod_exp_mont_consttime", r, a))
- failed = 1;
- /*
- * A different codepath exists for single word multiplication
- * in non-constant-time only.
- */
- if (!BN_mod_exp_mont_word(r, one_word, p, m, ctx, NULL))
- goto err;
- if (!BN_is_zero(r)) {
- fprintf(stderr, "BN_mod_exp_mont_word failed:\n");
- fprintf(stderr, "1 ** 0 mod 1 = r (should be 0)\n");
- fprintf(stderr, "r = ");
- BN_print_fp(stderr, r);
- fprintf(stderr, "\n");
- return 0;
- }
- ret = failed;
- err:
- BN_free(r);
- BN_free(a);
- BN_free(p);
- BN_free(m);
- BN_CTX_free(ctx);
- return ret;
- }
- int main(int argc, char *argv[])
- {
- BN_CTX *ctx;
- BIO *out = NULL;
- int i, ret;
- unsigned char c;
- BIGNUM *r_mont, *r_mont_const, *r_recp, *r_simple, *a, *b, *m;
- RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_rand may fail, and we
- * don't even check its return
- * value (which we should) */
- ctx = BN_CTX_new();
- if (ctx == NULL)
- EXIT(1);
- r_mont = BN_new();
- r_mont_const = BN_new();
- r_recp = BN_new();
- r_simple = BN_new();
- a = BN_new();
- b = BN_new();
- m = BN_new();
- if ((r_mont == NULL) || (r_recp == NULL) || (a == NULL) || (b == NULL))
- goto err;
- out = BIO_new(BIO_s_file());
- if (out == NULL)
- EXIT(1);
- BIO_set_fp(out, stdout, BIO_NOCLOSE | BIO_FP_TEXT);
- for (i = 0; i < 200; i++) {
- RAND_bytes(&c, 1);
- c = (c % BN_BITS) - BN_BITS2;
- BN_rand(a, NUM_BITS + c, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY);
- RAND_bytes(&c, 1);
- c = (c % BN_BITS) - BN_BITS2;
- BN_rand(b, NUM_BITS + c, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY);
- RAND_bytes(&c, 1);
- c = (c % BN_BITS) - BN_BITS2;
- BN_rand(m, NUM_BITS + c, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ODD);
- BN_mod(a, a, m, ctx);
- BN_mod(b, b, m, ctx);
- ret = BN_mod_exp_mont(r_mont, a, b, m, ctx, NULL);
- if (ret <= 0) {
- printf("BN_mod_exp_mont() problems\n");
- ERR_print_errors(out);
- EXIT(1);
- }
- ret = BN_mod_exp_recp(r_recp, a, b, m, ctx);
- if (ret <= 0) {
- printf("BN_mod_exp_recp() problems\n");
- ERR_print_errors(out);
- EXIT(1);
- }
- ret = BN_mod_exp_simple(r_simple, a, b, m, ctx);
- if (ret <= 0) {
- printf("BN_mod_exp_simple() problems\n");
- ERR_print_errors(out);
- EXIT(1);
- }
- ret = BN_mod_exp_mont_consttime(r_mont_const, a, b, m, ctx, NULL);
- if (ret <= 0) {
- printf("BN_mod_exp_mont_consttime() problems\n");
- ERR_print_errors(out);
- EXIT(1);
- }
- if (BN_cmp(r_simple, r_mont) == 0
- && BN_cmp(r_simple, r_recp) == 0
- && BN_cmp(r_simple, r_mont_const) == 0) {
- printf(".");
- fflush(stdout);
- } else {
- if (BN_cmp(r_simple, r_mont) != 0)
- printf("\nsimple and mont results differ\n");
- if (BN_cmp(r_simple, r_mont_const) != 0)
- printf("\nsimple and mont const time results differ\n");
- if (BN_cmp(r_simple, r_recp) != 0)
- printf("\nsimple and recp results differ\n");
- printf("a (%3d) = ", BN_num_bits(a));
- BN_print(out, a);
- printf("\nb (%3d) = ", BN_num_bits(b));
- BN_print(out, b);
- printf("\nm (%3d) = ", BN_num_bits(m));
- BN_print(out, m);
- printf("\nsimple =");
- BN_print(out, r_simple);
- printf("\nrecp =");
- BN_print(out, r_recp);
- printf("\nmont =");
- BN_print(out, r_mont);
- printf("\nmont_ct =");
- BN_print(out, r_mont_const);
- printf("\n");
- EXIT(1);
- }
- }
- BN_free(r_mont);
- BN_free(r_mont_const);
- BN_free(r_recp);
- BN_free(r_simple);
- BN_free(a);
- BN_free(b);
- BN_free(m);
- BN_CTX_free(ctx);
- if (test_exp_mod_zero() != 0)
- goto err;
- #ifndef OPENSSL_NO_CRYPTO_MDEBUG
- if (CRYPTO_mem_leaks(out) <= 0)
- goto err;
- #endif
- BIO_free(out);
- printf("\n");
- printf("done\n");
- EXIT(0);
- err:
- ERR_print_errors(out);
- EXIT(1);
- }
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