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/*
Copyright (C) 2015 Fredrik Johansson
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "arb_poly.h"
void
_arb_poly_cot_pi_series(arb_ptr g, arb_srcptr h, slong hlen, slong len, slong prec)
{
hlen = FLINT_MIN(hlen, len);
if (hlen == 1)
{
arb_cot_pi(g, h, prec);
_arb_vec_zero(g + 1, len - 1);
}
else
{
arb_ptr t, u;
t = _arb_vec_init(len);
u = _arb_vec_init(len);
_arb_poly_sin_cos_pi_series(t, u, h, hlen, len, prec);
_arb_poly_div_series(g, u, len, t, len, len, prec);
_arb_vec_clear(t, len);
_arb_vec_clear(u, len);
}
}
void
arb_poly_cot_pi_series(arb_poly_t res, const arb_poly_t f, slong len, slong prec)
{
arb_poly_fit_length(res, len);
if (f->length == 0 || len == 0)
_arb_vec_indeterminate(res->coeffs, len);
else
_arb_poly_cot_pi_series(res->coeffs, f->coeffs, f->length, len, prec);
_arb_poly_set_length(res, len);
_arb_poly_normalise(res);
}
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