flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42

/*
    Copyright (C) 2013 Fredrik Johansson

    This file is part of FLINT.

    FLINT 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 3 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#include "acb_poly.h"
#include "gr_poly.h"

#define TAN_NEWTON_CUTOFF 20

void
_acb_poly_tan_series(acb_ptr res, acb_srcptr h, slong hlen, slong len, slong prec)
{
    gr_ctx_t ctx;
    gr_ctx_init_complex_acb(ctx, prec);

    hlen = FLINT_MIN(hlen, len);

    if (_gr_poly_tan_series_newton(res, h, hlen, len, TAN_NEWTON_CUTOFF, ctx) != GR_SUCCESS)
        _acb_vec_indeterminate(res, len);
}

void
acb_poly_tan_series(acb_poly_t g, const acb_poly_t h, slong n, slong prec)
{
    if (h->length == 0 || n == 0)
    {
        acb_poly_zero(g);
        return;
    }

    acb_poly_fit_length(g, n);
    _acb_poly_tan_series(g->coeffs, h->coeffs, h->length, n, prec);
    _acb_poly_set_length(g, n);
    _acb_poly_normalise(g);
}