Exemple #1
0
void
arb_const_e_eval(arb_t s, slong prec)
{
    hypgeom_t series;
    arb_t t;

    arb_init(t);
    hypgeom_init(series);

    fmpz_poly_set_str(series->A, "1  1");
    fmpz_poly_set_str(series->B, "1  1");
    fmpz_poly_set_str(series->P, "1  1");
    fmpz_poly_set_str(series->Q, "2  0 1");

    prec += FLINT_CLOG2(prec);
    arb_hypgeom_infsum(s, t, series, prec, prec);
    arb_div(s, s, t, prec);

    hypgeom_clear(series);
    arb_clear(t);
}
Exemple #2
0
void
arb_const_catalan_eval(arb_t s, slong prec)
{
    hypgeom_t series;
    arb_t t;

    arb_init(t);
    hypgeom_init(series);

    fmpz_poly_set_str(series->A, "3  19 56 40");
    fmpz_poly_set_str(series->B, "1  1");
    fmpz_poly_set_str(series->P, "5  0 0 0 32 -64");
    fmpz_poly_set_str(series->Q, "5  9 96 352 512 256");

    prec += FLINT_CLOG2(prec);
    arb_hypgeom_infsum(s, t, series, prec, prec);
    arb_mul_ui(t, t, 18, prec);
    arb_div(s, s, t, prec);

    hypgeom_clear(series);
    arb_clear(t);
}
Exemple #3
0
void
arb_const_log2_hypgeom_eval(arb_t s, slong prec)
{
    hypgeom_t series;
    arb_t t;

    arb_init(t);
    hypgeom_init(series);

    fmpz_poly_set_str(series->A, "1  1");
    fmpz_poly_set_str(series->B, "1  1");
    fmpz_poly_set_str(series->P, "2  0 -1");
    fmpz_poly_set_str(series->Q, "2  4 8");

    prec += FLINT_CLOG2(prec);
    arb_hypgeom_infsum(s, t, series, prec, prec);
    arb_mul_ui(s, s, 3, prec);
    arb_mul_2exp_si(t, t, 2);
    arb_div(s, s, t, prec);

    hypgeom_clear(series);
    arb_clear(t);
}