arb/acb_dirichlet/number_primitive.c
2016-09-06 14:33:53 +02:00

53 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_number_primitive(const acb_dirichlet_group_t G)
{
if (G->q % 4 == 2)
return 0;
else
{
slong k;
ulong n = 1;
/* no overflow since result < G->q */
for (k = (G->neven == 2); k < G->num; k++)
{
ulong p = G->P[k].p, e = G->P[k].e;
if (e == 1)
n *= p - 2;
else
n *= (p * (p - 2) + 1) * n_pow(p, e - 2);
}
return n;
}
}