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bn: procduce correct sign for result of BN_mod()
There is a problem that appears when calling BN_div(a, c, a, b) with negative b. In this case, the sign of the remainder c is incorrect. The problem only occurs if the dividend and the quotient are the same BIGNUM. Fixes #15982 Reviewed-by: Nicola Tuveri <nic.tuv@gmail.com> (Merged from https://github.com/openssl/openssl/pull/15991)
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@ -268,7 +268,7 @@ int bn_div_fixed_top(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
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BIGNUM *tmp, *snum, *sdiv, *res;
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BN_ULONG *resp, *wnum, *wnumtop;
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BN_ULONG d0, d1;
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int num_n, div_n;
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int num_n, div_n, num_neg;
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assert(divisor->top > 0 && divisor->d[divisor->top - 1] != 0);
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@ -326,7 +326,8 @@ int bn_div_fixed_top(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
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/* Setup quotient */
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if (!bn_wexpand(res, loop))
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goto err;
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res->neg = (num->neg ^ divisor->neg);
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num_neg = num->neg;
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res->neg = (num_neg ^ divisor->neg);
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res->top = loop;
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res->flags |= BN_FLG_FIXED_TOP;
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resp = &(res->d[loop]);
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@ -442,7 +443,7 @@ int bn_div_fixed_top(BIGNUM *dv, BIGNUM *rm, const BIGNUM *num,
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*--resp = q;
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}
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/* snum holds remainder, it's as wide as divisor */
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snum->neg = num->neg;
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snum->neg = num_neg;
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snum->top = div_n;
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snum->flags |= BN_FLG_FIXED_TOP;
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if (rm != NULL)
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@ -308,6 +308,75 @@ static int test_div_recip(void)
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return st;
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}
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static struct {
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int n, divisor, result, remainder;
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} signed_mod_tests[] = {
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{ 10, 3, 3, 1 },
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{ -10, 3, -3, -1 },
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{ 10, -3, -3, 1 },
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{ -10, -3, 3, -1 },
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};
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static BIGNUM *set_signed_bn(int value)
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{
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BIGNUM *bn = BN_new();
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if (bn == NULL)
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return NULL;
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if (!BN_set_word(bn, value < 0 ? -value : value)) {
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BN_free(bn);
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return NULL;
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}
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BN_set_negative(bn, value < 0);
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return bn;
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}
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static int test_signed_mod_replace_ab(int n)
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{
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BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
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int st = 0;
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if (!TEST_ptr(a = set_signed_bn(signed_mod_tests[n].n))
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|| !TEST_ptr(b = set_signed_bn(signed_mod_tests[n].divisor))
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|| !TEST_ptr(c = set_signed_bn(signed_mod_tests[n].result))
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|| !TEST_ptr(d = set_signed_bn(signed_mod_tests[n].remainder)))
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goto err;
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if (TEST_true(BN_div(a, b, a, b, ctx))
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&& TEST_BN_eq(a, c)
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&& TEST_BN_eq(b, d))
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st = 1;
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err:
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BN_free(a);
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BN_free(b);
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BN_free(c);
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BN_free(d);
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return st;
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}
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static int test_signed_mod_replace_ba(int n)
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{
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BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL;
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int st = 0;
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if (!TEST_ptr(a = set_signed_bn(signed_mod_tests[n].n))
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|| !TEST_ptr(b = set_signed_bn(signed_mod_tests[n].divisor))
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|| !TEST_ptr(c = set_signed_bn(signed_mod_tests[n].result))
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|| !TEST_ptr(d = set_signed_bn(signed_mod_tests[n].remainder)))
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goto err;
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if (TEST_true(BN_div(b, a, a, b, ctx))
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&& TEST_BN_eq(b, c)
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&& TEST_BN_eq(a, d))
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st = 1;
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err:
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BN_free(a);
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BN_free(b);
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BN_free(c);
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BN_free(d);
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return st;
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}
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static int test_mod(void)
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{
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BIGNUM *a = NULL, *b = NULL, *c = NULL, *d = NULL, *e = NULL;
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@ -329,8 +398,10 @@ static int test_mod(void)
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BN_set_negative(b, rand_neg());
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if (!(TEST_true(BN_mod(c, a, b, ctx))
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&& TEST_true(BN_div(d, e, a, b, ctx))
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&& TEST_true(BN_sub(e, e, c))
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&& TEST_BN_eq_zero(e)))
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&& TEST_BN_eq(e, c)
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&& TEST_true(BN_mul(c, d, b, ctx))
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&& TEST_true(BN_add(d, c, e))
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&& TEST_BN_eq(d, a)))
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goto err;
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}
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st = 1;
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@ -2875,6 +2946,8 @@ int setup_tests(void)
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if (n == 0) {
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ADD_TEST(test_sub);
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ADD_TEST(test_div_recip);
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ADD_ALL_TESTS(test_signed_mod_replace_ab, OSSL_NELEM(signed_mod_tests));
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ADD_ALL_TESTS(test_signed_mod_replace_ba, OSSL_NELEM(signed_mod_tests));
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ADD_TEST(test_mod);
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ADD_TEST(test_modexp_mont5);
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ADD_TEST(test_kronecker);
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