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
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63

/*
    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 "ulong_extras.h"
#include "acb.h"
#include "arb_fmpz_poly.h"

void
_arb_fmpz_poly_evaluate_acb_rectangular(acb_t y, const fmpz * poly,
    slong len, const acb_t x, slong prec)
{
    slong i, m, r;
    acb_ptr xs;
    acb_t s, t, c;

    if (len < 3)
    {
        _arb_fmpz_poly_evaluate_acb_horner(y, poly, len, x, prec);
        return;
    }

    m = n_sqrt(len) + 1;
    r = (len + m - 1) / m;

    xs = _acb_vec_init(m + 1);
    acb_init(s);
    acb_init(t);
    acb_init(c);

    _acb_vec_set_powers(xs, x, m + 1, prec);

    acb_set_fmpz(y, poly + (r - 1) * m);
    acb_dot_fmpz(y, y, 0, xs + 1, 1,
        poly + (r - 1) * m + 1, 1, len - (r - 1) * m - 1, prec);

    for (i = r - 2; i >= 0; i--)
    {
        acb_set_fmpz(s, poly + i * m);
        acb_dot_fmpz(s, s, 0, xs + 1, 1,
            poly + i * m + 1, 1, m - 1, prec);
        acb_mul(y, y, xs + m, prec);
        acb_add(y, y, s, prec);
    }

    _acb_vec_clear(xs, m + 1);
    acb_clear(s);
    acb_clear(t);
    acb_clear(c);
}

void
arb_fmpz_poly_evaluate_acb_rectangular(acb_t res, const fmpz_poly_t f, const acb_t a, slong prec)
{
    _arb_fmpz_poly_evaluate_acb_rectangular(res, f->coeffs, f->length, a, prec);
}