Пример #1
0
void
acb_poly_sin_cos_series_tangent(acb_poly_t s, acb_poly_t c,
                                    const acb_poly_t h, slong n, slong prec, int times_pi)
{
    slong hlen = h->length;

    if (n == 0)
    {
        acb_poly_zero(s);
        acb_poly_zero(c);
        return;
    }

    if (hlen == 0)
    {
        acb_poly_zero(s);
        acb_poly_one(c);
        return;
    }

    acb_poly_fit_length(s, n);
    acb_poly_fit_length(c, n);
    _acb_poly_sin_cos_series_tangent(s->coeffs, c->coeffs,
        h->coeffs, hlen, n, prec, times_pi);
    _acb_poly_set_length(s, n);
    _acb_poly_normalise(s);
    _acb_poly_set_length(c, n);
    _acb_poly_normalise(c);
}
Пример #2
0
void
_acb_poly_sin_cos_pi_series(acb_ptr s, acb_ptr c, const acb_srcptr h, slong hlen, slong n, slong prec)
{
    hlen = FLINT_MIN(hlen, n);

    if (hlen == 1)
    {
        acb_sin_cos_pi(s, c, h, prec);
        _acb_vec_zero(s + 1, n - 1);
        _acb_vec_zero(c + 1, n - 1);
    }
    else if (n == 2)
    {
        acb_t t;
        acb_init(t);
        acb_const_pi(t, prec);
        acb_mul(t, t, h + 1, prec);
        acb_sin_cos_pi(s, c, h, prec);
        acb_mul(s + 1, c, t, prec);
        acb_neg(t, t);
        acb_mul(c + 1, s, t, prec);
        acb_clear(t);
    }
    else if (hlen < TANGENT_CUTOFF)
        _acb_poly_sin_cos_series_basecase(s, c, h, hlen, n, prec, 1);
    else
        _acb_poly_sin_cos_series_tangent(s, c, h, hlen, n, prec, 1);
}