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/*
Copyright (C) 2013 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_sin_pi_series(arb_ptr g, arb_srcptr h, slong hlen, slong n, slong prec)
{
hlen = FLINT_MIN(hlen, n);
if (hlen == 1)
{
arb_sin_pi(g, h, prec);
_arb_vec_zero(g + 1, n - 1);
}
else if (n == 2)
{
arb_t t;
arb_init(t);
arb_sin_cos_pi(g, t, h, prec);
arb_mul(g + 1, h + 1, t, prec); /* safe since hlen >= 2 */
arb_const_pi(t, prec);
arb_mul(g + 1, g + 1, t, prec);
arb_clear(t);
}
else
{
arb_ptr t = _arb_vec_init(n);
_arb_poly_sin_cos_pi_series(g, t, h, hlen, n, prec);
_arb_vec_clear(t, n);
}
}
void
arb_poly_sin_pi_series(arb_poly_t g, const arb_poly_t h, slong n, slong prec)
{
slong hlen = h->length;
if (hlen == 0 || n == 0)
{
arb_poly_zero(g);
return;
}
if (hlen == 1)
n = 1;
arb_poly_fit_length(g, n);
_arb_poly_sin_pi_series(g->coeffs, h->coeffs, hlen, n, prec);
_arb_poly_set_length(g, n);
_arb_poly_normalise(g);
}
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