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/*
Copyright (C) 2013 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_poly.h"
void
_arb_poly_sin_cos_series(arb_ptr s, arb_ptr c, arb_srcptr h, slong hlen, slong n, slong prec)
{
hlen = FLINT_MIN(hlen, n);
if (hlen == 1)
{
arb_sin_cos(s, c, h, prec);
_arb_vec_zero(s + 1, n - 1);
_arb_vec_zero(c + 1, n - 1);
}
else if (n == 2)
{
arb_t t;
arb_init(t);
arb_set(t, h + 1);
arb_sin_cos(s, c, h, prec);
arb_mul(s + 1, c, t, prec);
arb_neg(t, t);
arb_mul(c + 1, s, t, prec);
arb_clear(t);
}
else
{
slong cutoff;
if (prec <= 128)
{
cutoff = 1400;
}
else
{
cutoff = 100000 / pow(log(prec), 3);
cutoff = FLINT_MIN(cutoff, 700);
}
if (hlen < cutoff)
_arb_poly_sin_cos_series_basecase(s, c, h, hlen, n, prec, 0);
else
_arb_poly_sin_cos_series_tangent(s, c, h, hlen, n, prec, 0);
}
}
void
arb_poly_sin_cos_series(arb_poly_t s, arb_poly_t c,
const arb_poly_t h, slong n, slong prec)
{
slong hlen = h->length;
if (n == 0)
{
arb_poly_zero(s);
arb_poly_zero(c);
return;
}
if (hlen == 0)
{
arb_poly_zero(s);
arb_poly_one(c);
return;
}
if (hlen == 1)
n = 1;
arb_poly_fit_length(s, n);
arb_poly_fit_length(c, n);
_arb_poly_sin_cos_series(s->coeffs, c->coeffs, h->coeffs, hlen, n, prec);
_arb_poly_set_length(s, n);
_arb_poly_normalise(s);
_arb_poly_set_length(c, n);
_arb_poly_normalise(c);
}
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