mirror of
https://github.com/vale981/arb
synced 2025-03-05 17:31:38 -05:00
83 lines
2.4 KiB
C
83 lines
2.4 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"
|
|
|
|
static void
|
|
chi_vec_evenpart(ulong *v, const acb_dirichlet_group_t G, const acb_dirichlet_char_t chi, slong nv)
|
|
{
|
|
|
|
ulong c3, c4, x;
|
|
|
|
if (G->neven >= 1 && (c3 = chi->expo[0]))
|
|
{
|
|
for (x = 3; x < nv; x += 4)
|
|
v[x] = c3;
|
|
}
|
|
if (G->neven == 2 && (c4 = chi->expo[1]))
|
|
{
|
|
ulong g, vx, xp;
|
|
nmod_t pe;
|
|
vx = c4;
|
|
pe = G->P[1].pe;
|
|
g = G->P[1].g;
|
|
|
|
for (x = g; x > 1;)
|
|
{
|
|
|
|
for (xp = x; xp < nv; xp += pe.n)
|
|
v[xp] = nmod_add(v[xp], vx, chi->order);
|
|
|
|
for (xp = pe.n - x; xp < nv; xp += pe.n)
|
|
v[xp] = nmod_add(v[xp], vx, chi->order);
|
|
|
|
x = nmod_mul(x, g, pe);
|
|
vx = nmod_add(vx, c4, chi->order);
|
|
}
|
|
}
|
|
}
|
|
|
|
/* loop over primary components */
|
|
void
|
|
acb_dirichlet_ui_chi_vec_primeloop(ulong *v, const acb_dirichlet_group_t G, const acb_dirichlet_char_t chi, slong nv)
|
|
{
|
|
slong k, l;
|
|
|
|
for (k = 1; k < nv; k++)
|
|
v[k] = 0;
|
|
|
|
if (G->neven)
|
|
chi_vec_evenpart(v, G, chi, nv);
|
|
|
|
for (l = G->neven; l < G->num; l++)
|
|
{
|
|
acb_dirichlet_prime_group_struct P = G->P[l];
|
|
|
|
/* FIXME: there may be some precomputed dlog in P if needed */
|
|
dlog_vec_add(v, nv, P.g, chi->expo[l], P.pe, P.phi, chi->order);
|
|
|
|
}
|
|
acb_dirichlet_ui_vec_set_null(v, G, nv);
|
|
}
|