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Fixed range of random produced in BN_is_prime_fasttest_ex() to be 1 < rand < w-1. It was using 1<= rand < w (which is wrong by 1 on both ends)
Reviewed-by: Paul Dale <paul.dale@oracle.com> Reviewed-by: Rich Salz <rsalz@openssl.org> (Merged from https://github.com/openssl/openssl/pull/6547)
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@ -154,19 +154,21 @@ int BN_is_prime_fasttest_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed,
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int i, j, ret = -1;
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int k;
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BN_CTX *ctx = NULL;
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BIGNUM *A1, *A1_odd, *check; /* taken from ctx */
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BIGNUM *A1, *A1_odd, *A3, *check; /* taken from ctx */
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BN_MONT_CTX *mont = NULL;
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if (BN_cmp(a, BN_value_one()) <= 0)
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/* Take care of the really small primes 2 & 3 */
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if (BN_is_word(a, 2) || BN_is_word(a, 3))
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return 1;
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/* Check odd and bigger than 1 */
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if (!BN_is_odd(a) || BN_cmp(a, BN_value_one()) <= 0)
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return 0;
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if (checks == BN_prime_checks)
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checks = BN_prime_checks_for_size(BN_num_bits(a));
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/* first look for small factors */
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if (!BN_is_odd(a))
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/* a is even => a is prime if and only if a == 2 */
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return BN_is_word(a, 2);
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if (do_trial_division) {
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for (i = 1; i < NUMPRIMES; i++) {
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BN_ULONG mod = BN_mod_word(a, primes[i]);
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@ -186,20 +188,18 @@ int BN_is_prime_fasttest_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed,
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BN_CTX_start(ctx);
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A1 = BN_CTX_get(ctx);
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A3 = BN_CTX_get(ctx);
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A1_odd = BN_CTX_get(ctx);
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check = BN_CTX_get(ctx);
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if (check == NULL)
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goto err;
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/* compute A1 := a - 1 */
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if (!BN_copy(A1, a))
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if (!BN_copy(A1, a) || !BN_sub_word(A1, 1))
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goto err;
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if (!BN_sub_word(A1, 1))
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/* compute A3 := a - 3 */
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if (!BN_copy(A3, a) || !BN_sub_word(A3, 3))
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goto err;
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if (BN_is_zero(A1)) {
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ret = 0;
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goto err;
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}
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/* write A1 as A1_odd * 2^k */
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k = 1;
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@ -216,11 +216,9 @@ int BN_is_prime_fasttest_ex(const BIGNUM *a, int checks, BN_CTX *ctx_passed,
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goto err;
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for (i = 0; i < checks; i++) {
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if (!BN_priv_rand_range(check, A1))
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/* 1 < check < a-1 */
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if (!BN_priv_rand_range(check, A3) || !BN_add_word(check, 2))
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goto err;
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if (!BN_add_word(check, 1))
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goto err;
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/* now 1 <= check < a */
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j = witness(check, a, A1, A1_odd, k, ctx, mont);
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if (j == -1)
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@ -2128,25 +2128,48 @@ err:
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return st;
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}
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static int test_3_is_prime(void)
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static int primes[] = { 2, 3, 5, 7, 17863 };
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static int test_is_prime(int i)
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{
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int ret = 0;
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BIGNUM *r = NULL;
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int trial;
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/*
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* For a long time, small primes were not considered prime when
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* do_trial_division was set.
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*/
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if (!TEST_ptr(r = BN_new())
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|| !TEST_true(BN_set_word(r, 3))
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|| !TEST_int_eq(BN_is_prime_fasttest_ex(r, 3 /* nchecks */, ctx,
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0 /* do_trial_division */, NULL), 1)
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|| !TEST_int_eq(BN_is_prime_fasttest_ex(r, 3 /* nchecks */, ctx,
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1 /* do_trial_division */, NULL), 1))
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if (!TEST_ptr(r = BN_new()))
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goto err;
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ret = 1;
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for (trial = 0; trial <= 1; ++trial) {
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if (!TEST_true(BN_set_word(r, primes[i]))
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|| !TEST_int_eq(BN_is_prime_fasttest_ex(r, 1, ctx, trial, NULL),
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1))
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goto err;
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}
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ret = 1;
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err:
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BN_free(r);
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return ret;
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}
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static int not_primes[] = { -1, 0, 1, 4 };
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static int test_not_prime(int i)
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{
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int ret = 0;
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BIGNUM *r = NULL;
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int trial;
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if (!TEST_ptr(r = BN_new()))
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goto err;
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for (trial = 0; trial <= 1; ++trial) {
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if (!TEST_true(BN_set_word(r, not_primes[i]))
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|| !TEST_false(BN_is_prime_fasttest_ex(r, 1, ctx, trial, NULL)))
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goto err;
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}
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ret = 1;
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err:
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BN_free(r);
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return ret;
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@ -2250,7 +2273,8 @@ int setup_tests(void)
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ADD_TEST(test_gf2m_modsqrt);
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ADD_TEST(test_gf2m_modsolvequad);
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#endif
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ADD_TEST(test_3_is_prime);
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ADD_ALL_TESTS(test_is_prime, (int)OSSL_NELEM(primes));
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ADD_ALL_TESTS(test_not_prime, (int)OSSL_NELEM(not_primes));
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} else {
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ADD_ALL_TESTS(run_file_tests, n);
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}
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