arb/acb_dirichlet/qseries_eval_arb.c

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2016-08-05 16:13:10 +02:00
/*=============================================================================
This file is part of ARB.
ARB is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
ARB is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ARB; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2016 Pascal Molin
******************************************************************************/
#include "acb_dirichlet.h"
#include "acb_poly.h"
/* assume a[0] = 0 */
void
acb_dirichlet_qseries_eval_arb(acb_t res, acb_srcptr a, const arb_t x, slong len, slong prec)
{
slong k;
arb_t xk2, dx, x2;
arb_init(xk2);
arb_init(dx);
arb_init(x2);
arb_set(dx, x);
arb_set(xk2, dx);
arb_mul(x2, dx, dx, prec);
acb_mul_arb(res, a + 1, xk2, prec);
/* TODO: reduce prec */
for (k = 2; k < len; k++)
{
arb_mul(dx, dx, x2, prec);
arb_mul(xk2, xk2, dx, prec);
acb_addmul_arb(res, a + k, xk2, prec);
}
arb_clear(xk2);
arb_clear(x2);
arb_clear(dx);
}