arb/acb_hypgeom/li.c

81 lines
2.2 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) 2015 Fredrik Johansson
******************************************************************************/
#include "acb_hypgeom.h"
static void
_acb_hypgeom_li(acb_t res, const acb_t z, slong prec)
{
if (acb_is_zero(z))
{
acb_zero(res);
}
else
{
acb_log(res, z, prec);
acb_hypgeom_ei(res, res, prec);
}
}
void
_acb_hypgeom_const_li2_eval(arb_t s, slong prec)
{
acb_t t;
acb_init(t);
acb_set_ui(t, 2);
_acb_hypgeom_li(t, t, prec);
arb_set(s, acb_realref(t));
acb_clear(t);
}
ARB_DEF_CACHED_CONSTANT(_acb_hypgeom_const_li2, _acb_hypgeom_const_li2_eval)
static void
_acb_hypgeom_li_offset(acb_t res, const acb_t z, slong prec)
{
if (acb_is_int(z) && arf_cmp_2exp_si(arb_midref(acb_realref(z)), 1) == 0)
{
acb_zero(res);
}
else
{
arb_t t;
arb_init(t);
_acb_hypgeom_const_li2(t, prec);
_acb_hypgeom_li(res, z, prec);
arb_sub(acb_realref(res), acb_realref(res), t, prec);
arb_clear(t);
}
}
void
acb_hypgeom_li(acb_t res, const acb_t z, int offset, slong prec)
{
if (offset)
_acb_hypgeom_li_offset(res, z, prec);
else
_acb_hypgeom_li(res, z, prec);
}