arb/arb_poly/sinc_series.c
2016-03-13 00:22:17 +01:00

88 lines
2.3 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 Fredrik Johansson
******************************************************************************/
#include "arb_poly.h"
void
_arb_poly_sinc_series(arb_ptr g, arb_srcptr h, slong hlen, slong n, slong prec)
{
hlen = FLINT_MIN(hlen, n);
if (hlen == 1)
{
arb_sinc(g, h, prec);
_arb_vec_zero(g + 1, n - 1);
}
else
{
arb_ptr t, u;
t = _arb_vec_init(n + 1);
u = _arb_vec_init(hlen);
_arb_vec_set(u, h, hlen);
if (arb_is_zero(h))
{
_arb_poly_sin_series(t, u, hlen, n + 1, prec);
_arb_poly_div_series(g, t + 1, n, u + 1, hlen - 1, n, prec);
}
else
{
_arb_poly_sin_series(t, u, hlen, n, prec);
_arb_poly_div_series(g, t, n, u, hlen, n, prec);
}
_arb_vec_clear(t, n + 1);
_arb_vec_clear(u, hlen);
}
}
void
arb_poly_sinc_series(arb_poly_t g, const arb_poly_t h, slong n, slong prec)
{
slong hlen = h->length;
if (n == 0)
{
arb_poly_zero(g);
return;
}
if (hlen == 0)
{
arb_poly_one(g);
return;
}
if (hlen == 1)
n = 1;
arb_poly_fit_length(g, n);
_arb_poly_sinc_series(g->coeffs, h->coeffs, hlen, n, prec);
_arb_poly_set_length(g, n);
_arb_poly_normalise(g);
}