mirror of
https://github.com/vale981/arb
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62 lines
1.7 KiB
C
62 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) 2012 Fredrik Johansson
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******************************************************************************/
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#include "arith.h"
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#include "fmprb.h"
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void
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fmprb_zeta_ui_bernoulli(fmprb_t x, ulong n, long prec)
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{
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fmpq_t b;
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fmprb_t t, f;
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long wp;
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if (n % 2)
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abort();
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wp = prec + FLINT_BIT_COUNT(n) + 2;
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fmpq_init(b);
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fmprb_init(t);
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fmprb_init(f);
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arith_bernoulli_number(b, n);
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fmprb_set_fmpq(x, b, wp);
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fmprb_const_pi(t, wp);
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fmprb_mul_2exp_si(t, t, 1);
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fmprb_pow_ui(t, t, n, wp);
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fmprb_fac_ui(f, n, wp);
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fmprb_div(t, t, f, wp);
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fmprb_mul(x, x, t, wp);
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fmprb_abs(x, x);
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fmprb_mul_2exp_si(x, x, -1);
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fmprb_clear(t);
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fmprb_clear(f);
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fmpq_clear(b);
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}
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