/* * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved. * * Licensed under the Apache License 2.0 (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 "internal/nelem.h" #include #include #include #include #include "testutil.h" #define NUM_BITS (BN_BITS2 * 4) #define BN_print_var(v) test_output_bignum(#v, v) /* * 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)) { TEST_error("%s failed: a ** 0 mod 1 = r (should be 0)", method); 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(void) { BIGNUM *a = NULL, *p = NULL, *m = NULL; BIGNUM *r = NULL; BN_ULONG one_word = 1; BN_CTX *ctx = BN_CTX_new(); int ret = 0, failed = 0; BN_MONT_CTX *mont = NULL; 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; if (!TEST_ptr(mont = BN_MONT_CTX_new())) goto err; ERR_set_mark(); /* mont is not set but passed in */ if (!TEST_false(BN_mod_exp_mont_consttime(r, p, a, m, ctx, mont))) goto err; if (!TEST_false(BN_mod_exp_mont(r, p, a, m, ctx, mont))) goto err; ERR_pop_to_mark(); if (!TEST_true(BN_MONT_CTX_set(mont, m, ctx))) goto err; /* we compute 0 ** a mod 1 here, to execute code that uses mont */ if (!TEST_true(BN_mod_exp_mont_consttime(r, p, a, m, ctx, mont))) goto err; if (!TEST_true(a_is_zero_mod_one("BN_mod_exp_mont_consttime", r, a))) failed = 1; if (!TEST_true(BN_mod_exp_mont(r, p, a, m, ctx, mont))) goto err; if (!TEST_true(a_is_zero_mod_one("BN_mod_exp_mont", 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_BN_eq_zero(r)) { TEST_error("BN_mod_exp_mont_word failed: " "1 ** 0 mod 1 = r (should be 0)"); BN_print_var(r); goto err; } ret = !failed; err: BN_free(r); BN_free(a); BN_free(p); BN_free(m); BN_MONT_CTX_free(mont); 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; if (!TEST_int_gt(RAND_bytes(&c, 1), 0)) goto err; c = (c % BN_BITS) - BN_BITS2; if (!TEST_true(BN_rand(a, NUM_BITS + c, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY))) goto err; if (!TEST_int_gt(RAND_bytes(&c, 1), 0)) goto err; c = (c % BN_BITS) - BN_BITS2; if (!TEST_true(BN_rand(b, NUM_BITS + c, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY))) goto err; if (!TEST_int_gt(RAND_bytes(&c, 1), 0)) goto err; c = (c % BN_BITS) - BN_BITS2; if (!TEST_true(BN_rand(m, NUM_BITS + c, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ODD))) goto err; if (!TEST_true(BN_mod(a, a, m, ctx)) || !TEST_true(BN_mod(b, b, m, ctx)) || !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_BN_eq(r_simple, r_mont) || !TEST_BN_eq(r_simple, r_recp) || !TEST_BN_eq(r_simple, r_mont_const)) { if (BN_cmp(r_simple, r_mont) != 0) TEST_info("simple and mont results differ"); if (BN_cmp(r_simple, r_mont_const) != 0) TEST_info("simple and mont const time results differ"); if (BN_cmp(r_simple, r_recp) != 0) TEST_info("simple and recp results differ"); 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; } static int test_mod_exp_x2(int idx) { BN_CTX *ctx; int ret = 0; BIGNUM *r_mont_const_x2_1 = NULL; BIGNUM *r_mont_const_x2_2 = NULL; BIGNUM *r_simple1 = NULL; BIGNUM *r_simple2 = NULL; BIGNUM *a1 = NULL; BIGNUM *b1 = NULL; BIGNUM *m1 = NULL; BIGNUM *a2 = NULL; BIGNUM *b2 = NULL; BIGNUM *m2 = NULL; int factor_size = 0; if (idx <= 100) factor_size = 1024; else if (idx <= 200) factor_size = 1536; else if (idx <= 300) factor_size = 2048; if (!TEST_ptr(ctx = BN_CTX_new())) goto err; if (!TEST_ptr(r_mont_const_x2_1 = BN_new()) || !TEST_ptr(r_mont_const_x2_2 = BN_new()) || !TEST_ptr(r_simple1 = BN_new()) || !TEST_ptr(r_simple2 = BN_new()) || !TEST_ptr(a1 = BN_new()) || !TEST_ptr(b1 = BN_new()) || !TEST_ptr(m1 = BN_new()) || !TEST_ptr(a2 = BN_new()) || !TEST_ptr(b2 = BN_new()) || !TEST_ptr(m2 = BN_new())) goto err; BN_rand(a1, factor_size, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY); BN_rand(b1, factor_size, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY); BN_rand(m1, factor_size, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ODD); BN_rand(a2, factor_size, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY); BN_rand(b2, factor_size, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY); BN_rand(m2, factor_size, BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ODD); if (!TEST_true(BN_mod(a1, a1, m1, ctx)) || !TEST_true(BN_mod(b1, b1, m1, ctx)) || !TEST_true(BN_mod(a2, a2, m2, ctx)) || !TEST_true(BN_mod(b2, b2, m2, ctx)) || !TEST_true(BN_mod_exp_simple(r_simple1, a1, b1, m1, ctx)) || !TEST_true(BN_mod_exp_simple(r_simple2, a2, b2, m2, ctx)) || !TEST_true(BN_mod_exp_mont_consttime_x2(r_mont_const_x2_1, a1, b1, m1, NULL, r_mont_const_x2_2, a2, b2, m2, NULL, ctx))) goto err; if (!TEST_BN_eq(r_simple1, r_mont_const_x2_1) || !TEST_BN_eq(r_simple2, r_mont_const_x2_2)) { if (BN_cmp(r_simple1, r_mont_const_x2_1) != 0) TEST_info("simple and mont const time x2 (#1) results differ"); if (BN_cmp(r_simple2, r_mont_const_x2_2) != 0) TEST_info("simple and mont const time x2 (#2) results differ"); BN_print_var(a1); BN_print_var(b1); BN_print_var(m1); BN_print_var(a2); BN_print_var(b2); BN_print_var(m2); BN_print_var(r_simple1); BN_print_var(r_simple2); BN_print_var(r_mont_const_x2_1); BN_print_var(r_mont_const_x2_2); goto err; } ret = 1; err: BN_free(r_mont_const_x2_1); BN_free(r_mont_const_x2_2); BN_free(r_simple1); BN_free(r_simple2); BN_free(a1); BN_free(b1); BN_free(m1); BN_free(a2); BN_free(b2); BN_free(m2); BN_CTX_free(ctx); return ret; } int setup_tests(void) { ADD_TEST(test_mod_exp_zero); ADD_ALL_TESTS(test_mod_exp, 200); ADD_ALL_TESTS(test_mod_exp_x2, 300); return 1; }