/* * Copyright 1995-2017 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 #include #include #include "../e_os.h" #include #include #include #include #include "testutil.h" #define NUM_BITS (BN_BITS2 * 4) #define BN_print_var(v) bn_print_var(#v, v) static void bn_print_var(const char *var, const BIGNUM *bn) { fprintf(stderr, "%s (%3d) = ", var, BN_num_bits(bn)); BN_print_fp(stderr, bn); fprintf(stderr, "\n"); } /* * 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"); BN_print_var(a); BN_print_var(r); return 0; } return 1; } /* * test_mod_exp_zero tests that x**0 mod 1 == 0. It returns zero on success. */ static int test_mod_exp_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; if (!TEST_ptr(m = BN_new()) || !TEST_ptr(a = BN_new()) || !TEST_ptr(p = BN_new()) || !TEST_ptr(r = BN_new())) goto err; BN_one(m); BN_one(a); BN_zero(p); if (!TEST_true(BN_rand(a, 1024, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY))) goto err; if (!TEST_true(BN_mod_exp(r, a, p, m, ctx))) goto err; if (!TEST_true(a_is_zero_mod_one("BN_mod_exp", r, a))) failed = 1; if (!TEST_true(BN_mod_exp_recp(r, a, p, m, ctx))) goto err; if (!TEST_true(a_is_zero_mod_one("BN_mod_exp_recp", r, a))) failed = 1; if (!TEST_true(BN_mod_exp_simple(r, a, p, m, ctx))) goto err; if (!TEST_true(a_is_zero_mod_one("BN_mod_exp_simple", r, a))) failed = 1; if (!TEST_true(BN_mod_exp_mont(r, a, p, m, ctx, NULL))) goto err; if (!TEST_true(a_is_zero_mod_one("BN_mod_exp_mont", r, a))) failed = 1; if (!TEST_true(BN_mod_exp_mont_consttime(r, a, p, m, ctx, NULL))) goto err; if (!TEST_true(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 (!TEST_true(BN_mod_exp_mont_word(r, one_word, p, m, ctx, NULL))) goto err; if (!TEST_true(BN_is_zero(r))) { fprintf(stderr, "BN_mod_exp_mont_word failed:\n"); fprintf(stderr, "1 ** 0 mod 1 = r (should be 0)\n"); BN_print_var(r); goto err; } ret = !failed; err: BN_free(r); BN_free(a); BN_free(p); BN_free(m); BN_CTX_free(ctx); return ret; } static int test_mod_exp(int round) { BN_CTX *ctx; unsigned char c; int ret = 0; BIGNUM *r_mont = NULL; BIGNUM *r_mont_const = NULL; BIGNUM *r_recp = NULL; BIGNUM *r_simple = NULL; BIGNUM *a = NULL; BIGNUM *b = NULL; BIGNUM *m = NULL; if (!TEST_ptr(ctx = BN_CTX_new())) goto err; if (!TEST_ptr(r_mont = BN_new()) || !TEST_ptr(r_mont_const = BN_new()) || !TEST_ptr(r_recp = BN_new()) || !TEST_ptr(r_simple = BN_new()) || !TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) || !TEST_ptr(m = BN_new())) goto err; 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); if (!TEST_true(BN_mod_exp_mont(r_mont, a, b, m, ctx, NULL)) || !TEST_true(BN_mod_exp_recp(r_recp, a, b, m, ctx)) || !TEST_true(BN_mod_exp_simple(r_simple, a, b, m, ctx)) || !TEST_true(BN_mod_exp_mont_consttime(r_mont_const, a, b, m, ctx, NULL))) goto err; if (TEST_int_eq(BN_cmp(r_simple, r_mont), 0) && TEST_int_eq(BN_cmp(r_simple, r_recp), 0) && TEST_int_eq(BN_cmp(r_simple, r_mont_const), 0)) { printf("."); fflush(stdout); } else { if (BN_cmp(r_simple, r_mont) != 0) fprintf(stderr, "simple and mont results differ\n"); if (BN_cmp(r_simple, r_mont_const) != 0) fprintf(stderr, "simple and mont const time results differ\n"); if (BN_cmp(r_simple, r_recp) != 0) fprintf(stderr, "simple and recp results differ\n"); BN_print_var(a); BN_print_var(b); BN_print_var(m); BN_print_var(r_simple); BN_print_var(r_recp); BN_print_var(r_mont); BN_print_var(r_mont_const); goto err; } ret = 1; err: 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); return ret; } void register_tests(void) { ADD_TEST(test_mod_exp_zero); ADD_ALL_TESTS(test_mod_exp, 200); }