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/*
Copyright (C) 2016 Fredrik Johansson
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"
/* bsgs evaluation */
void
acb_dirichlet_si_poly_evaluate(acb_t res, slong * v, slong len, const acb_t z, slong prec)
{
slong k, r, m;
acb_t sq;
acb_ptr zk;
if (len < 3)
{
if (len == 0)
{
acb_zero(res);
}
else if (len == 1)
{
acb_set_si(res, v[0]);
}
else if (len == 2)
{
acb_mul_si(res, z, v[1], prec);
acb_add_si(res, res, v[0], prec);
}
return;
}
m = n_sqrt(len) + 1;
zk = _acb_vec_init(m + 1);
_acb_vec_set_powers(zk, z, m + 1, prec);
acb_init(sq);
acb_zero(res);
k = len - 1;
r = k % m;
for (; k >= 0; r = m - 1)
{
acb_zero(sq);
for (; r >= 0; r--, k--)
acb_addmul_si(sq, zk + r, v[k], prec);
acb_mul(res, res, zk + m, prec);
acb_add(res, res, sq, prec);
}
_acb_vec_clear(zk, m + 1);
acb_clear(sq);
}
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