Esempi in C++ (Cpp) per acb_hypgeom_m_asymp

Esempio n. 1

File: m.c Progetto: argriffing/arb

void
acb_hypgeom_m(acb_t res, const acb_t a, const acb_t b, const acb_t z, int regularized, slong prec)
{
    int asymp, kummer;
    slong wp;

    acb_hypgeom_m_choose(&asymp, &kummer, &wp, a, b, z, regularized, prec);

    if (asymp)
    {
        acb_hypgeom_m_asymp(res, a, b, z, regularized, wp);
    }
    else
    {
        _acb_hypgeom_m_1f1(res, a, b, z, regularized, wp, FLINT_MIN(wp, prec), kummer);
    }

    acb_set_round(res, res, prec);
}

Esempio n. 2

File: m.c Progetto: UBunt14/SourceOfBasicLibraries

void
acb_hypgeom_m(acb_t res, const acb_t a, const acb_t b, const acb_t z, int regularized, long prec)
{
    long m = LONG_MAX;
    long n = LONG_MAX;

    if (acb_is_int(a) &&
            arf_cmpabs_2exp_si(arb_midref(acb_realref(a)), 30) < 0)
    {
        m = arf_get_si(arb_midref(acb_realref(a)), ARF_RND_DOWN);
    }

    if (acb_is_int(b) &&
            arf_cmpabs_2exp_si(arb_midref(acb_realref(b)), 30) < 0)
    {
        n = arf_get_si(arb_midref(acb_realref(b)), ARF_RND_DOWN);
    }

    /* terminating */
    if (m <= 0 && m < n && m > -10 * prec && (n > 0 || !regularized))
    {
        acb_hypgeom_m_1f1(res, a, b, z, regularized, prec);
        return;
    }

    /* large */
    if (acb_hypgeom_u_use_asymp(z, prec))
    {
        acb_hypgeom_m_asymp(res, a, b, z, regularized, prec);
        return;
    }

    /* remove singularity */
    if (n <= 0 && n > -10 * prec && regularized)
    {
        acb_t c, d, t, u;

        acb_init(c);
        acb_init(d);
        acb_init(t);
        acb_init(u);

        acb_sub(c, a, b, prec);
        acb_add_ui(c, c, 1, prec);

        acb_neg(d, b);
        acb_add_ui(d, d, 2, prec);

        acb_hypgeom_m_1f1(t, c, d, z, 0, prec);

        acb_pow_ui(u, z, 1 - n, prec);
        acb_mul(t, t, u, prec);

        acb_rising_ui(u, a, 1 - n, prec);
        acb_mul(t, t, u, prec);

        arb_fac_ui(acb_realref(u), 1 - n, prec);
        acb_div_arb(res, t, acb_realref(u), prec);

        acb_clear(c);
        acb_clear(d);
        acb_clear(t);
        acb_clear(u);
    }
    else
    {
        acb_hypgeom_m_1f1(res, a, b, z, regularized, prec);
    }
}