mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
61 lines
1.8 KiB
C
61 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) 2013 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#include "fmprb.h"
|
|
#include "zeta.h"
|
|
|
|
void
|
|
fmprb_const_glaisher_eval(fmprb_t y, long prec)
|
|
{
|
|
fmpcb_struct z[2];
|
|
fmpcb_t s, a;
|
|
long wp;
|
|
|
|
fmpcb_init(z + 0);
|
|
fmpcb_init(z + 1);
|
|
fmpcb_init(s);
|
|
fmpcb_init(a);
|
|
|
|
wp = prec + 20;
|
|
|
|
/* directly evaluating at s = -1 is slightly faster
|
|
than evaluating at s = 2 */
|
|
fmpcb_set_si(s, -1);
|
|
fmpcb_one(a);
|
|
zeta_series(z, s, a, 0, 2, wp);
|
|
|
|
fmprb_one(y);
|
|
fmprb_div_ui(y, y, 12, wp);
|
|
fmprb_sub(y, y, fmpcb_realref(z + 1), wp);
|
|
fmprb_exp(y, y, wp);
|
|
|
|
fmpcb_clear(z + 0);
|
|
fmpcb_clear(z + 1);
|
|
fmpcb_clear(s);
|
|
fmpcb_clear(a);
|
|
}
|
|
|
|
DEF_CACHED_CONSTANT(fmprb_const_glaisher, fmprb_const_glaisher_eval)
|
|
|