mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
71 lines
2 KiB
C
71 lines
2 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 "hypgeom.h"
|
||
|
|
|
||
|
|
static void
|
||
|
|
atanh_bsplit(fmprb_t s, ulong c, long a, long prec)
|
||
|
|
{
|
||
|
|
fmprb_t t;
|
||
|
|
hypgeom_t series;
|
||
|
|
hypgeom_init(series);
|
||
|
|
fmprb_init(t);
|
||
|
|
|
||
|
|
fmpz_poly_set_ui(series->A, 1);
|
||
|
|
fmpz_poly_set_coeff_ui(series->B, 0, 1);
|
||
|
|
fmpz_poly_set_coeff_ui(series->B, 1, 2);
|
||
|
|
fmpz_poly_set_ui(series->P, 1);
|
||
|
|
fmpz_poly_set_ui(series->Q, c * c);
|
||
|
|
|
||
|
|
fmprb_hypgeom_infsum(s, t, series, prec, prec);
|
||
|
|
fmprb_mul_si(s, s, a, prec);
|
||
|
|
fmprb_mul_ui(t, t, c, prec);
|
||
|
|
fmprb_div(s, s, t, prec);
|
||
|
|
|
||
|
|
fmprb_clear(t);
|
||
|
|
hypgeom_clear(series);
|
||
|
|
}
|
||
|
|
|
||
|
|
void
|
||
|
|
fmprb_const_log10_eval(fmprb_t s, long prec)
|
||
|
|
{
|
||
|
|
fmprb_t t;
|
||
|
|
fmprb_init(t);
|
||
|
|
|
||
|
|
prec += FLINT_CLOG2(prec);
|
||
|
|
|
||
|
|
atanh_bsplit(s, 31, 46, prec);
|
||
|
|
atanh_bsplit(t, 49, 34, prec);
|
||
|
|
fmprb_add(s, s, t, prec);
|
||
|
|
atanh_bsplit(t, 161, 20, prec);
|
||
|
|
fmprb_add(s, s, t, prec);
|
||
|
|
|
||
|
|
fmprb_clear(t);
|
||
|
|
}
|
||
|
|
|
||
|
|
DEF_CACHED_CONSTANT(fmprb_const_log10, fmprb_const_log10_eval)
|
||
|
|
|