mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
89 lines
2.5 KiB
C
89 lines
2.5 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) 2013 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#include "fmprb_poly.h"
|
|
|
|
#define TANGENT_CUTOFF 80
|
|
|
|
void
|
|
_fmprb_poly_sin_cos_series(fmprb_ptr s, fmprb_ptr c, const fmprb_srcptr h, long hlen, long n, long prec)
|
|
{
|
|
hlen = FLINT_MIN(hlen, n);
|
|
|
|
if (hlen == 1)
|
|
{
|
|
fmprb_sin_cos(s, c, h, prec);
|
|
_fmprb_vec_zero(s + 1, n - 1);
|
|
_fmprb_vec_zero(c + 1, n - 1);
|
|
}
|
|
else if (n == 2)
|
|
{
|
|
fmprb_t t;
|
|
fmprb_init(t);
|
|
fmprb_set(t, h + 1);
|
|
fmprb_sin_cos(s, c, h, prec);
|
|
fmprb_mul(s + 1, c, t, prec);
|
|
fmprb_neg(t, t);
|
|
fmprb_mul(c + 1, s, t, prec);
|
|
fmprb_clear(t);
|
|
}
|
|
else if (hlen < TANGENT_CUTOFF)
|
|
_fmprb_poly_sin_cos_series_basecase(s, c, h, hlen, n, prec);
|
|
else
|
|
_fmprb_poly_sin_cos_series_tangent(s, c, h, hlen, n, prec);
|
|
}
|
|
|
|
void
|
|
fmprb_poly_sin_cos_series(fmprb_poly_t s, fmprb_poly_t c,
|
|
const fmprb_poly_t h, long n, long prec)
|
|
{
|
|
long hlen = h->length;
|
|
|
|
if (n == 0)
|
|
{
|
|
fmprb_poly_zero(s);
|
|
fmprb_poly_zero(c);
|
|
return;
|
|
}
|
|
|
|
if (hlen == 0)
|
|
{
|
|
fmprb_poly_zero(s);
|
|
fmprb_poly_one(c);
|
|
return;
|
|
}
|
|
|
|
if (hlen == 1)
|
|
n = 1;
|
|
|
|
fmprb_poly_fit_length(s, n);
|
|
fmprb_poly_fit_length(c, n);
|
|
_fmprb_poly_sin_cos_series(s->coeffs, c->coeffs, h->coeffs, hlen, n, prec);
|
|
_fmprb_poly_set_length(s, n);
|
|
_fmprb_poly_normalise(s);
|
|
_fmprb_poly_set_length(c, n);
|
|
_fmprb_poly_normalise(c);
|
|
}
|
|
|