int
acb_modular_is_in_fundamental_domain(const acb_t z, const arf_t tol, long prec)
{
    arb_t t;
    arb_init(t);

    /* require re(w) + 1/2 >= 0 */
    arb_set_ui(t, 1);
    arb_mul_2exp_si(t, t, -1);
    arb_add(t, t, acb_realref(z), prec);
    arb_add_arf(t, t, tol, prec);
    if (!arb_is_nonnegative(t))
    {
        arb_clear(t);
        return 0;
    }

    /* require re(w) - 1/2 <= 0 */
    arb_set_ui(t, 1);
    arb_mul_2exp_si(t, t, -1);
    arb_sub(t, acb_realref(z), t, prec);
    arb_sub_arf(t, t, tol, prec);
    if (!arb_is_nonpositive(t))
    {
        arb_clear(t);
        return 0;
    }

    /* require |w| >= 1 - tol, i.e. |w| - 1 + tol >= 0 */
    acb_abs(t, z, prec);
    arb_sub_ui(t, t, 1, prec);
    arb_add_arf(t, t, tol, prec);
    if (!arb_is_nonnegative(t))
    {
        arb_clear(t);
        return 0;
    }

    arb_clear(t);
    return 1;
}
Beispiel #2
0
int main()
{
    slong iter;
    flint_rand_t state;

    flint_printf("add_arf....");
    fflush(stdout);

    flint_randinit(state);

    for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
    {
        arb_t a, b, c, d;
        arf_t x;
        slong prec;

        arb_init(a);
        arb_init(b);
        arb_init(c);
        arb_init(d);
        arf_init(x);

        arb_randtest_special(a, state, 1 + n_randint(state, 2000), 100);
        arb_randtest_special(b, state, 1 + n_randint(state, 2000), 100);
        arb_randtest_special(c, state, 1 + n_randint(state, 2000), 100);
        arf_randtest_special(x, state, 1 + n_randint(state, 2000), 100);

        prec = 2 + n_randint(state, 2000);

        arb_set_arf(b, x);
        arb_add_arf(c, a, x, prec);
        arb_add(d, a, b, prec);

        if (!arb_equal(c, d))
        {
            flint_printf("FAIL\n\n");
            flint_printf("a = "); arb_print(a); flint_printf("\n\n");
            flint_printf("b = "); arb_print(b); flint_printf("\n\n");
            flint_printf("c = "); arb_print(c); flint_printf("\n\n");
            flint_printf("d = "); arb_print(d); flint_printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);
        arb_clear(c);
        arb_clear(d);
        arf_clear(x);
    }

    /* aliasing */
    for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
    {
        arb_t a, b, c;
        arf_t x;
        slong prec;

        arb_init(a);
        arb_init(b);
        arb_init(c);
        arf_init(x);

        arb_randtest_special(a, state, 1 + n_randint(state, 2000), 100);
        arb_randtest_special(b, state, 1 + n_randint(state, 2000), 100);
        arb_randtest_special(c, state, 1 + n_randint(state, 2000), 100);
        arf_randtest_special(x, state, 1 + n_randint(state, 2000), 100);

        prec = 2 + n_randint(state, 2000);

        arb_set_arf(b, x);
        arb_add_arf(c, a, x, prec);
        arb_add_arf(a, a, x, prec);

        if (!arb_equal(a, c))
        {
            flint_printf("FAIL (aliasing)\n\n");
            flint_printf("a = "); arb_print(a); flint_printf("\n\n");
            flint_printf("b = "); arb_print(b); flint_printf("\n\n");
            flint_printf("c = "); arb_print(c); flint_printf("\n\n");
            abort();
        }

        arb_clear(a);
        arb_clear(b);
        arb_clear(c);
        arf_clear(x);
    }

    flint_randclear(state);
    flint_cleanup();
    flint_printf("PASS\n");
    return EXIT_SUCCESS;
}