arb/acb_dirichlet/acb_chi.c
Pascal f488a8b034 huge refactor
- split files, one for each function
- use acb_dirichlet prefix everywhere
- distinguish pairing / character value
+ fix bug on exponent
2016-09-06 14:32:00 +02:00

45 lines
1.6 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) 2015 Jonathan Bober
Copyright (C) 2016 Fredrik Johansson
Copyright (C) 2016 Pascal Molin
******************************************************************************/
#include "acb_dirichlet.h"
void
acb_dirichlet_acb_chi(acb_t res, const acb_dirichlet_group_t G, const acb_dirichlet_char_t chi, ulong n, slong prec)
{
ulong expo;
expo = acb_dirichlet_chi(G, chi, n);
if (expo == CHI_NULL)
acb_zero(res);
else
{
fmpq_t t;
fmpq_init(t);
fmpq_set_si(t, 2 * expo , chi->order);
arb_sin_cos_pi_fmpq(acb_imagref(res), acb_realref(res), t, prec);
fmpq_clear(t);
}
}