arb/acb_dirichlet/gauss_sum_naive.c

31 lines
798 B
C

/*
Copyright (C) 2016 Pascal Molin
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"
#include "acb_poly.h"
void
acb_dirichlet_gauss_sum_naive(acb_t res, const dirichlet_group_t G, const dirichlet_char_t chi, slong prec)
{
acb_t z;
acb_ptr v;
v = _acb_vec_init(G->q);
acb_dirichlet_chi_vec(v, G, chi, G->q, prec);
acb_init(z);
acb_unit_root(z, G->q, prec);
_acb_poly_evaluate(res, v, G->q, z, prec);
acb_clear(z);
_acb_vec_clear(v, G->q);
}