arb/zeta/fmpcb_series.c

57 lines
1.8 KiB
C

/*=============================================================================
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) 2012 Fredrik Johansson
******************************************************************************/
#include "zeta.h"
void
zeta_series(fmpcb_ptr z, const fmpcb_t s, const fmpcb_t a, int deflate, long d, long prec)
{
ulong M, N;
long i;
fmpr_t bound;
fmprb_ptr vb;
if (d < 1)
return;
fmpr_init(bound);
vb = _fmprb_vec_init(d);
zeta_series_em_choose_param(bound, &N, &M, s, a, FLINT_MIN(d, 2), prec, FMPRB_RAD_PREC);
zeta_series_em_vec_bound(vb, s, a, N, M, d, FMPRB_RAD_PREC);
zeta_series_em_sum(z, s, a, deflate, N, M, d, prec);
for (i = 0; i < d; i++)
{
fmprb_get_abs_ubound_fmpr(bound, vb + i, FMPRB_RAD_PREC);
fmprb_add_error_fmpr(fmpcb_realref(z + i), bound);
fmprb_add_error_fmpr(fmpcb_imagref(z + i), bound);
}
fmpr_clear(bound);
_fmprb_vec_clear(vb, d);
}