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
|
/*
* examples/nullspacebasis.C
*
* Copyright (C) 2014 J-G. Dumas
* ========LICENCE========
* This file is part of the library LinBox.
*
* LinBox is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library 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
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
* ========LICENCE========
*/
/**\file examples/nullspacebasis.C
* @example examples/nullspacebasis.C
\brief NullSpace of sparse matrix over GFq.
\brief nullspace is allocated m \times n.
\ingroup examples
*/
#include <iostream>
#include "linbox/matrix/dense-matrix.h"
#include <givaro/gfq.h>
#include "linbox/algorithms/gauss.h"
using namespace LinBox;
int main (int argc, char **argv)
{
if ( argc < 3 || argc > 4) {
std::cerr << "Usage to get a random null space basis over GF(p,k): <matrix-file-in-SMS-format> p [k]" << std::endl;
return -1;
}
std::ifstream input (argv[1]);
if (!input) { std::cerr << "Error opening matrix file " << argv[1] << std::endl; return -1; }
//typedef Givaro::Modular<int> Field;
typedef Givaro::GFqDom<int64_t> Field;
Field F(atoi(argv[2]),argc>3?atoi(argv[3]):1);
SparseMatrix<Field, SparseMatrixFormat::SparseSeq > B (F);
B.read (input);
std::cout << "B is " << B.rowdim() << " by " << B.coldim() << std::endl;
DenseMatrix<Field> NullSpace(F,B.coldim(),B.coldim());
GaussDomain<Field> GD(F);
Givaro::Timer chrono; chrono.start();
GD.nullspacebasisin(NullSpace, B);
chrono.stop();
NullSpace.write( std::cout << "X:=", Tag::FileFormat::Maple ) << ';' << std::endl;
std::clog << "NullSpace dimensions:" << NullSpace.rowdim() << 'x' << NullSpace.coldim() << ' '
<< chrono << std::endl;
return 0;
}
// Local Variables:
// mode: C++
// tab-width: 4
// indent-tabs-mode: nil
// c-basic-offset: 4
// End:
// vim:sts=4:sw=4:ts=4:et:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s
|
