C++ (Cpp) arb_zeta_ui Examples

Example #1

File: zeta_ui_vec_even.c Project: argriffing/arb

void
arb_zeta_ui_vec_even(arb_ptr x, ulong start, slong num, slong prec)
{
    slong i;

    for (i = 0; i < num; i++)
        arb_zeta_ui(x + i, start + 2 * i, prec);
}

Example #2

File: t-zeta_ui.c Project: bluescarni/arb

int main()
{
    long iter;
    flint_rand_t state;

    printf("zeta_ui....");
    fflush(stdout);
    flint_randinit(state);

    for (iter = 0; iter < 1000; iter++)
    {
        arb_t r;
        ulong n;
        mpfr_t s;
        long prec, accuracy;

        prec = 2 + n_randint(state, 1 << n_randint(state, 14));

        arb_init(r);
        mpfr_init2(s, prec + 100);

        do { n = n_randint(state, 1 << n_randint(state, 10)); } while (n == 1);

        arb_zeta_ui(r, n, prec);
        mpfr_zeta_ui(s, n, MPFR_RNDN);

        if (!arb_contains_mpfr(r, s))
        {
            printf("FAIL: containment\n\n");
            printf("n = %lu\n\n", n);
            printf("r = "); arb_printd(r, prec / 3.33); printf("\n\n");
            printf("s = "); mpfr_printf("%.275Rf\n", s); printf("\n\n");
            abort();
        }

        accuracy = arb_rel_accuracy_bits(r);

        if (accuracy < prec - 4)
        {
            printf("FAIL: accuracy = %ld, prec = %ld\n\n", accuracy, prec);
            printf("r = "); arb_printd(r, prec / 3.33); printf("\n\n");
            abort();
        }

        arb_clear(r);
        mpfr_clear(s);
    }

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

Example #3

void
acb_zeta_si(acb_t z, slong s, slong prec)
{
    if (s >= 0)
    {
        arb_zeta_ui(acb_realref(z), s, prec);
    }
    else
    {
        arb_bernoulli_ui(acb_realref(z), 1-s, prec);
        arb_div_ui(acb_realref(z), acb_realref(z), 1-s, prec);
        arb_neg(acb_realref(z), acb_realref(z));
    }

    arb_zero(acb_imagref(z));
    return;
}