arb/acb_dirichlet/ui_chi.c

46 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) 2016 Pascal Molin
******************************************************************************/
#include "acb_dirichlet.h"
ulong
acb_dirichlet_ui_chi(const acb_dirichlet_group_t G, const acb_dirichlet_char_t chi, ulong n)
{
if (n_gcd(G->q, n) > 1)
{
return ACB_DIRICHLET_CHI_NULL;
}
else
{
ulong v = 0, k;
acb_dirichlet_conrey_t x;
acb_dirichlet_conrey_init(x, G);
acb_dirichlet_conrey_log(x, G, n);
for (k = 0; k < G->num; k++)
v = (v + chi->expo[k] * x->log[k]) % chi->order;
acb_dirichlet_conrey_clear(x);
return v;
}
}