arb/acb_dirichlet/chi_vec_sieve.c
2016-10-08 22:46:00 +02:00

59 lines
1.7 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"
/* sieve on primes */
void
acb_dirichlet_chi_vec_sieve(ulong *v, const acb_dirichlet_group_t G, const acb_dirichlet_char_t chi, slong nv)
{
slong k, p, pmax;
n_primes_t iter;
n_primes_init(iter);
pmax = (nv < G->q) ? nv : G->q;
v[1] = 0;
while ((p = n_primes_next(iter)) < pmax)
{
if (G->q % p == 0)
{
for (k = p; k < nv; k += p)
v[k] = ACB_DIRICHLET_CHI_NULL;
}
else
{
long chip;
chip = acb_dirichlet_chi(G, chi, p);
for (k = p; k < nv; k += p)
if (v[k] != -1)
v[k] = (v[k] + chip) % chi->order;
}
}
n_primes_clear(iter);
}