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https://github.com/vale981/arb
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72 lines
2.1 KiB
C
72 lines
2.1 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 "zeta.h"
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#include "hypgeom.h"
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static void
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atanh_bsplit(fmprb_t s, ulong p, ulong q, 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_str(series->B, "2 1 2");
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fmpz_poly_set_ui(series->P, p);
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fmpz_mul(series->P->coeffs, series->P->coeffs, series->P->coeffs);
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fmpz_poly_set_ui(series->Q, q);
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fmpz_mul(series->Q->coeffs, series->Q->coeffs, series->Q->coeffs);
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fmprb_hypgeom_infsum(s, t, series, prec, prec);
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fmprb_mul_ui(s, s, p, prec);
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fmprb_mul_ui(t, t, q, 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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zeta_log_ui_from_prev(fmprb_t s, ulong k, fmprb_t log_prev, ulong prev, long prec)
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{
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if (k > 200 && prec > 5000)
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{
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fmprb_t t;
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fmprb_init(t);
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atanh_bsplit(t, k - prev, k + prev, prec);
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fmprb_mul_2exp_si(t, t, 1);
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fmprb_add(s, log_prev, t, prec);
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fmprb_clear(t);
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}
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else
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{
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fmprb_log_ui(s, k, prec);
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}
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}
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