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