arb/zeta/ui_asymp.c
2013-03-27 15:54:05 +01:00

46 lines
1.5 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_ui_asymp(fmprb_t x, ulong s, long prec)
{
fmprb_set_ui(x, 1UL);
if (s != 2 && s > prec)
{
fmprb_add_error_2exp_si(x, -prec);
}
else
{
fmpr_t t;
fmpr_init(t);
fmpr_set_ui_2exp_si(t, 1, -s);
fmprb_add_fmpr(x, x, t, prec);
fmprb_add_error_2exp_si(x, 2 - (3 * s) / 2);
fmpr_clear(t);
}
}