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https://github.com/vale981/arb
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53 lines
1.7 KiB
C
53 lines
1.7 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 "arb.h"
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#include "hypgeom.h"
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void
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arb_const_catalan_eval(arb_t s, slong prec)
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{
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hypgeom_t series;
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arb_t t;
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arb_init(t);
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hypgeom_init(series);
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fmpz_poly_set_str(series->A, "3 19 56 40");
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fmpz_poly_set_str(series->B, "1 1");
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fmpz_poly_set_str(series->P, "5 0 0 0 32 -64");
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fmpz_poly_set_str(series->Q, "5 9 96 352 512 256");
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prec += FLINT_CLOG2(prec);
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arb_hypgeom_infsum(s, t, series, prec, prec);
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arb_mul_ui(t, t, 18, prec);
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arb_div(s, s, t, prec);
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hypgeom_clear(series);
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arb_clear(t);
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}
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ARB_DEF_CACHED_CONSTANT(arb_const_catalan, arb_const_catalan_eval)
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