arb/acb_dirichlet/char_normalize.c
2016-09-06 15:32:23 +02:00

45 lines
1.1 KiB
C

/*
Copyright (C) 2016 Pascal Molin
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "acb_dirichlet.h"
void
acb_dirichlet_char_set_expo(acb_dirichlet_char_t chi, const acb_dirichlet_group_t G)
{
slong k;
for (k = 0; k < G->num; k++)
chi->expo[k] = (chi->x->log[k] * G->PHI[k]) % G->expo;
}
void
acb_dirichlet_char_normalize(acb_dirichlet_char_t chi, const acb_dirichlet_group_t G)
{
ulong k, g;
g = G->expo;
for (k = 0; k < G->num; k++)
g = n_gcd(g, chi->expo[k]);
for (k = 0; k < G->num; k++)
chi->expo[k] = chi->expo[k] / g;
nmod_init(&chi->order, G->expo / g);
}
void
acb_dirichlet_char_denormalize(acb_dirichlet_char_t chi, const acb_dirichlet_group_t G)
{
ulong k, g;
g = G->expo / chi->order.n;
for (k = 0; k < G->num; k++)
chi->expo[k] *= g;
}