mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
73 lines
1.6 KiB
C
73 lines
1.6 KiB
C
/*
|
|
Copyright (C) 2021 Fredrik Johansson
|
|
|
|
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 "arb_mat.h"
|
|
#include "arb_hypgeom.h"
|
|
#include "acb_dirichlet.h"
|
|
|
|
int
|
|
acb_dirichlet_l_fmpq_use_afe(ulong q, const fmpq_t s, slong prec)
|
|
{
|
|
double cutoff;
|
|
|
|
if ((slong) fmpz_bits(fmpq_numref(s)) - (slong) fmpz_bits(fmpq_denref(s)) > 20)
|
|
return 0;
|
|
|
|
if (fabs(fmpq_get_d(s)) > 10 + prec * 0.01)
|
|
return 0;
|
|
|
|
if (q == 1)
|
|
{
|
|
if (fmpz_is_one(fmpq_denref(s)))
|
|
return 0;
|
|
|
|
if (fmpz_is_one(fmpq_numref(s)) && fmpz_equal_si(fmpq_denref(s), 2))
|
|
return prec > 32000;
|
|
|
|
return prec > 70000;
|
|
}
|
|
|
|
if (fmpq_is_zero(s))
|
|
return 0;
|
|
|
|
if (fmpz_cmp_ui(fmpq_denref(s), 2) <= 0)
|
|
{
|
|
if (prec > 30000)
|
|
return 1;
|
|
|
|
if (fmpq_is_one(s))
|
|
return q > 1000;
|
|
|
|
return q > 50;
|
|
}
|
|
|
|
cutoff = 15000.0 / q;
|
|
|
|
return prec > cutoff;
|
|
}
|
|
|
|
void
|
|
acb_dirichlet_l_fmpq(acb_t res, const fmpq_t s, const dirichlet_group_t G, const dirichlet_char_t chi, slong prec)
|
|
{
|
|
ulong q;
|
|
|
|
q = (G == NULL) ? 1 : G->q;
|
|
|
|
if (acb_dirichlet_l_fmpq_use_afe(q, s, prec))
|
|
{
|
|
acb_dirichlet_l_fmpq_afe(res, s, G, chi, prec);
|
|
if (acb_is_finite(res))
|
|
return;
|
|
}
|
|
|
|
acb_set_fmpq(res, s, prec + 10);
|
|
acb_dirichlet_l(res, res, G, chi, prec);
|
|
}
|