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/*
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 "dirichlet.h"
static void
dirichlet_chi_vec_evenpart(ulong *v, const dirichlet_group_t G, const dirichlet_char_t chi, ulong order, slong nv)
{
ulong mult = G->expo / order;
if (G->neven >= 1 && chi->log[0])
{
ulong x, c3 = G->PHI[0] / mult;
for (x = 3; x < nv; x += 4)
v[x] = c3;
}
if (G->neven == 2 && chi->log[1])
{
ulong x, g, vx, xp, c4;
nmod_t pe, o;
nmod_init(&o, order);
pe = G->P[1].pe;
g = G->P[1].g;
vx = c4 = (chi->log[1] * G->PHI[1]) / mult;
for (x = g; x > 1;)
{
for (xp = x; xp < nv; xp += pe.n)
v[xp] = nmod_add(v[xp], vx, o);
for (xp = pe.n - x; xp < nv; xp += pe.n)
v[xp] = nmod_add(v[xp], vx, o);
x = nmod_mul(x, g, pe);
vx = nmod_add(vx, c4, o);
}
}
}
/* loop over primary components */
void
dirichlet_chi_vec_primeloop_order(ulong *v, const dirichlet_group_t G, const dirichlet_char_t chi, ulong order, slong nv)
{
slong k, l;
ulong mult = G->expo / order;
nmod_t o;
nmod_init(&o, order);
for (k = 0; k < nv; k++)
v[k] = 0;
if (G->neven)
dirichlet_chi_vec_evenpart(v, G, chi, order, nv);
for (l = G->neven; l < G->num; l++)
{
dirichlet_prime_group_struct P = G->P[l];
/* FIXME: there may be some precomputed dlog in P if needed */
if (P.dlog == NULL)
dlog_vec_add(v, nv, P.g, (chi->log[l] * G->PHI[l]) / mult, P.pe, P.phi.n, o);
else
dlog_vec_add_precomp(v, nv, P.dlog, P.g, (chi->log[l] * G->PHI[l]) / mult, P.pe, P.phi.n, o);
}
dirichlet_vec_set_null(v, G, nv);
}
void
dirichlet_chi_vec_primeloop(ulong *v, const dirichlet_group_t G, const dirichlet_char_t chi, slong nv)
{
dirichlet_chi_vec_primeloop_order(v, G, chi, G->expo, nv);
}
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