mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
43 lines
1.5 KiB
C
43 lines
1.5 KiB
C
/*=============================================================================
|
|
|
|
This file is part of ARB.
|
|
|
|
ARB is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation; either version 2 of the License, or
|
|
(at your option) any later version.
|
|
|
|
ARB is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with ARB; if not, write to the Free Software
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
|
|
|
=============================================================================*/
|
|
/******************************************************************************
|
|
|
|
Copyright (C) 2013 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#include "gamma.h"
|
|
#include "bernoulli.h"
|
|
|
|
void
|
|
gamma_stirling_coeff(fmprb_t b, ulong k, int digamma, long prec)
|
|
{
|
|
fmpz_t d;
|
|
fmpz_init(d);
|
|
BERNOULLI_ENSURE_CACHED(2 * k);
|
|
fmprb_set_round_fmpz(b, fmpq_numref(bernoulli_cache + 2 * k), prec);
|
|
if (digamma)
|
|
fmpz_mul_ui(d, fmpq_denref(bernoulli_cache + 2 * k), 2 * k);
|
|
else
|
|
fmpz_mul2_uiui(d, fmpq_denref(bernoulli_cache + 2 * k), 2 * k, 2 * k - 1);
|
|
fmprb_div_fmpz(b, b, d, prec);
|
|
fmpz_clear(d);
|
|
}
|
|
|