1 /*
2     Copyright (C) 2011 Fredrik Johansson
3 
4     This file is part of FLINT.
5 
6     FLINT is free software: you can redistribute it and/or modify it under
7     the terms of the GNU Lesser General Public License (LGPL) as published
8     by the Free Software Foundation; either version 2.1 of the License, or
9     (at your option) any later version.  See <http://www.gnu.org/licenses/>.
10 */
11 
12 #include <stdlib.h>
13 #include "flint.h"
14 #include "fmpz_poly.h"
15 #include "fmpz_poly_mat.h"
16 
17 void
fmpz_poly_mat_mul_classical(fmpz_poly_mat_t C,const fmpz_poly_mat_t A,const fmpz_poly_mat_t B)18 fmpz_poly_mat_mul_classical(fmpz_poly_mat_t C, const fmpz_poly_mat_t A,
19     const fmpz_poly_mat_t B)
20 {
21     slong ar, bc, br;
22     slong i, j, k;
23     fmpz_poly_t t;
24 
25     ar = A->r;
26     br = B->r;
27     bc = B->c;
28 
29     if (br == 0)
30     {
31         fmpz_poly_mat_zero(C);
32         return;
33     }
34 
35     if (C == A || C == B)
36     {
37         fmpz_poly_mat_t T;
38         fmpz_poly_mat_init(T, ar, bc);
39         fmpz_poly_mat_mul_classical(T, A, B);
40         fmpz_poly_mat_swap(C, T);
41         fmpz_poly_mat_clear(T);
42         return;
43     }
44 
45     fmpz_poly_init(t);
46 
47     for (i = 0; i < ar; i++)
48     {
49         for (j = 0; j < bc; j++)
50         {
51             fmpz_poly_mul(fmpz_poly_mat_entry(C, i, j),
52                           fmpz_poly_mat_entry(A, i, 0),
53                           fmpz_poly_mat_entry(B, 0, j));
54 
55             for (k = 1; k < br; k++)
56             {
57                 fmpz_poly_mul(t, fmpz_poly_mat_entry(A, i, k),
58                                  fmpz_poly_mat_entry(B, k, j));
59 
60                 fmpz_poly_add(fmpz_poly_mat_entry(C, i, j),
61                               fmpz_poly_mat_entry(C, i, j), t);
62             }
63         }
64     }
65 
66     fmpz_poly_clear(t);
67 }
68