/* $OpenBSD: exptest.c,v 1.7 2018/11/08 22:20:25 jsing Exp $ */ /* 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.] */ #include #include #include #include #include #include int BN_mod_exp_ct(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, BN_CTX *ctx); int BN_mod_exp_nonct(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, BN_CTX *ctx); int BN_mod_exp_mont_ct(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); int BN_mod_exp_mont_nonct(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); #define NUM_BITS (BN_BITS*2) /* * 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(void) { BIGNUM a, p, m; BIGNUM r; BN_ULONG one_word = 1; BN_CTX *ctx = BN_CTX_new(); int ret = 1, failed = 0; BN_init(&m); BN_one(&m); BN_init(&a); BN_one(&a); BN_init(&p); BN_zero(&p); BN_init(&r); if (!BN_rand(&a, 1024, 0, 0)) 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_ct(&r, &a, &p, &m, ctx)) goto err; if (!a_is_zero_mod_one("BN_mod_exp_ct", &r, &a)) failed = 1; if (!BN_mod_exp_nonct(&r, &a, &p, &m, ctx)) goto err; if (!a_is_zero_mod_one("BN_mod_exp_nonct", &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_ct(&r, &a, &p, &m, ctx, NULL)) goto err; if (!a_is_zero_mod_one("BN_mod_exp_mont_ct", &r, &a)) failed = 1; if (!BN_mod_exp_mont_nonct(&r, &a, &p, &m, ctx, NULL)) goto err; if (!a_is_zero_mod_one("BN_mod_exp_mont_nonct", &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[]) { BIGNUM *r_mont, *r_mont_const, *r_recp, *r_simple; BIGNUM *r_mont_ct, *r_mont_nonct, *a, *b, *m; BN_CTX *ctx; BIO *out = NULL; unsigned char c; int i, ret; ERR_load_BN_strings(); if ((ctx = BN_CTX_new()) == NULL) goto err; if ((r_mont = BN_new()) == NULL) goto err; if ((r_mont_const = BN_new()) == NULL) goto err; if ((r_mont_ct = BN_new()) == NULL) goto err; if ((r_mont_nonct = BN_new()) == NULL) goto err; if ((r_recp = BN_new()) == NULL) goto err; if ((r_simple = BN_new()) == NULL) goto err; if ((a = BN_new()) == NULL) goto err; if ((b = BN_new()) == NULL) goto err; if ((m = BN_new()) == NULL) goto err; if ((out = BIO_new(BIO_s_file())) == NULL) exit(1); BIO_set_fp(out, stdout, BIO_NOCLOSE); for (i = 0; i < 200; i++) { arc4random_buf(&c, 1); c = (c % BN_BITS) - BN_BITS2; BN_rand(a, NUM_BITS + c, 0, 0); arc4random_buf(&c, 1); c = (c % BN_BITS) - BN_BITS2; BN_rand(b, NUM_BITS + c, 0, 0); arc4random_buf(&c, 1); c = (c % BN_BITS) - BN_BITS2; BN_rand(m, NUM_BITS + c, 0, 1); 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"); goto err; } ret = BN_mod_exp_mont_ct(r_mont_ct, a, b, m, ctx, NULL); if (ret <= 0) { printf("BN_mod_exp_mont_ct() problems\n"); goto err; } ret = BN_mod_exp_mont_nonct(r_mont_nonct, a, b, m, ctx, NULL); if (ret <= 0) { printf("BN_mod_exp_mont_nonct() problems\n"); goto err; } ret = BN_mod_exp_recp(r_recp, a, b, m, ctx); if (ret <= 0) { printf("BN_mod_exp_recp() problems\n"); goto err; } ret = BN_mod_exp_simple(r_simple, a, b, m, ctx); if (ret <= 0) { printf("BN_mod_exp_simple() problems\n"); goto err; } 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"); goto err; } 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"); if (BN_cmp(r_mont, r_mont_ct) != 0) printf("\nmont_ct and mont results differ\n"); if (BN_cmp(r_mont_ct, r_mont_nonct) != 0) printf("\nmont_ct and mont_nonct 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_mont_ct); BN_free(r_mont_nonct); BN_free(r_recp); BN_free(r_simple); BN_free(a); BN_free(b); BN_free(m); BN_CTX_free(ctx); ERR_remove_thread_state(NULL); CRYPTO_mem_leaks(out); BIO_free(out); printf("\n"); if (test_exp_mod_zero() != 0) goto err; printf("done\n"); return (0); err: ERR_load_crypto_strings(); ERR_print_errors(out); return (1); }