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
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86

/*
    Copyright (C) 2008, 2009 William Hart
    Copyright (C) 2024 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 "fmpz.h"
#include "fmpz_vec.h"
#include "fmpz_poly.h"

/* Assumes poly1 and poly2 are not length 0. */
void
_fmpz_poly_mul_classical(fmpz * res, const fmpz * poly1,
                         slong len1, const fmpz * poly2, slong len2)
{
    slong i, top1, top2;

    if (len1 == 1 && len2 == 1)
    {
        fmpz_mul(res, poly1, poly2);
        return;
    }

    if (len1 == 1)
    {
        _fmpz_vec_scalar_mul_fmpz(res, poly2, len2, poly1);
        return;
    }

    if (len2 == 1)
    {
        _fmpz_vec_scalar_mul_fmpz(res, poly1, len1, poly2);
        return;
    }

    fmpz_mul(res, poly1, poly2);

    for (i = 1; i < len1 + len2 - 2; i++)
    {
        top1 = FLINT_MIN(len1 - 1, i);
        top2 = FLINT_MIN(len2 - 1, i);

        _fmpz_vec_dot_general(res + i, NULL, 0, poly1 + i - top2, poly2 + i - top1, 1, top1 + top2 - i + 1);
    }

    fmpz_mul(res + len1 + len2 - 2, poly1 + len1 - 1, poly2 + len2 - 1);
}

void
fmpz_poly_mul_classical(fmpz_poly_t res,
                        const fmpz_poly_t poly1, const fmpz_poly_t poly2)
{
    slong len_out;

    if ((poly1->length == 0) || (poly2->length == 0))
    {
        fmpz_poly_zero(res);
        return;
    }

    len_out = poly1->length + poly2->length - 1;

    if (res == poly1 || res == poly2)
    {
        fmpz_poly_t temp;
        fmpz_poly_init2(temp, len_out);
        _fmpz_poly_mul_classical(temp->coeffs, poly1->coeffs, poly1->length,
                                 poly2->coeffs, poly2->length);
        fmpz_poly_swap(res, temp);
        fmpz_poly_clear(temp);
    }
    else
    {
        fmpz_poly_fit_length(res, len_out);
        _fmpz_poly_mul_classical(res->coeffs, poly1->coeffs, poly1->length,
                                 poly2->coeffs, poly2->length);
    }

    _fmpz_poly_set_length(res, len_out);
}