mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
70 lines
2 KiB
C
70 lines
2 KiB
C
/*=============================================================================
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This file is part of ARB.
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ARB is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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ARB is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with ARB; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2013 Fredrik Johansson
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******************************************************************************/
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#include "fmprb.h"
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#include "hypgeom.h"
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static void
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atanh_bsplit(fmprb_t s, ulong c, long a, long prec)
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{
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fmprb_t t;
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hypgeom_t series;
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hypgeom_init(series);
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fmprb_init(t);
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fmpz_poly_set_ui(series->A, 1);
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fmpz_poly_set_coeff_ui(series->B, 0, 1);
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fmpz_poly_set_coeff_ui(series->B, 1, 2);
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fmpz_poly_set_ui(series->P, 1);
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fmpz_poly_set_ui(series->Q, c * c);
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fmprb_hypgeom_infsum(s, t, series, prec, prec);
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fmprb_mul_si(s, s, a, prec);
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fmprb_mul_ui(t, t, c, prec);
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fmprb_div(s, s, t, prec);
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fmprb_clear(t);
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hypgeom_clear(series);
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}
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void
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fmprb_const_log10_eval(fmprb_t s, long prec)
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{
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fmprb_t t;
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fmprb_init(t);
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prec += FLINT_CLOG2(prec);
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atanh_bsplit(s, 31, 46, prec);
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atanh_bsplit(t, 49, 34, prec);
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fmprb_add(s, s, t, prec);
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atanh_bsplit(t, 161, 20, prec);
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fmprb_add(s, s, t, prec);
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fmprb_clear(t);
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}
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DEF_CACHED_CONSTANT(fmprb_const_log10, fmprb_const_log10_eval)
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