arb/acb_dirichlet/ui_parity.c
2016-09-06 14:33:52 +02:00

47 lines
1.4 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"
int
acb_dirichlet_ui_parity(const acb_dirichlet_group_t G, ulong a)
{
slong k;
int par;
par = 0;
if (G->neven && a % 4 == 3)
par++;
/* could replace by jacobi(a, core(q_odd)) */
for (k = G->neven; k < G->num; k++)
{
if (n_jacobi_unsigned(a, G->primes[k]) == -1)
par++;
}
return par % 2;
}