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/*
Copyright (C) 2016 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 "acb_dirichlet.h"
void
_acb_dirichlet_l_series(acb_ptr res, acb_srcptr s, slong slen,
const dirichlet_group_t G, const dirichlet_char_t chi,
int deflate, slong len, slong prec)
{
slen = FLINT_MIN(slen, len);
if (len == 0)
return;
if (slen == 1 && !deflate)
{
acb_dirichlet_l(res, s, G, chi, prec);
_acb_vec_zero(res + 1, len - 1);
}
else
{
acb_ptr t, u;
t = _acb_vec_init(len);
u = _acb_vec_init(slen);
acb_dirichlet_l_jet(t, s, G, chi, deflate, len, prec);
/* compose with nonconstant part */
acb_zero(u);
_acb_vec_set(u + 1, s + 1, slen - 1);
_acb_poly_compose_series(res, t, len, u, slen, len, prec);
_acb_vec_clear(t, len);
_acb_vec_clear(u, slen);
}
}
void
acb_dirichlet_l_series(acb_poly_t res, const acb_poly_t s,
const dirichlet_group_t G, const dirichlet_char_t chi,
int deflate, slong len, slong prec)
{
if (len == 0)
{
acb_poly_zero(res);
return;
}
acb_poly_fit_length(res, len);
if (s->length == 0)
{
acb_t t;
acb_init(t);
_acb_dirichlet_l_series(res->coeffs, t, 1, G, chi, deflate, len, prec);
acb_clear(t);
}
else
{
_acb_dirichlet_l_series(res->coeffs, s->coeffs, s->length, G, chi, deflate, len, prec);
}
_acb_poly_set_length(res, len);
_acb_poly_normalise(res);
}
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