linbox
examples/echelon.C

Echelon form of matrix over Zp.

/* -*- mode: C++; tab-width: 8; indent-tabs-mode: t; c-basic-offset: 8 -*- */
// vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s

/*
 * examples/echelon.C
 *
 * Copyright (C) 2007, 2010 C. Pernet
 *
 * This file is part of 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 of
 *   the License, or (at your option) any later version.
 *
 *   LinBox 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 LinBox.  If not, see
 *   <http://www.gnu.org/licenses/>.
 */

#include <iostream>

#include "linbox/field/modular-double.h"
#include "linbox/util/matrix-stream.h"
#include "linbox/algorithms/echelon-form.h"

using namespace LinBox;
using namespace std;

int main (int argc, char **argv)
{
    if (argc < 3 || argc > 3) {
        cerr << "Usage: echelon <matrix-file-in-SMS-format> <p>" << endl;
        return -1;
    }
    ifstream input (argv[1]);
    if (!input) { cerr << "Error opening matrix file " << argv[1] << endl; return -1; }

    typedef Modular<double> Field;
    double q = atof(argv[2]);
    Field F(q);

    MatrixStream<Field> ms(F,input);
    BlasMatrix<Field::Element> A(ms);
    BlasMatrix<Field::Element> E(A.rowdim(),A.coldim());
    cout << "A is " << A.rowdim() << " by " << A.coldim() << endl;

    EchelonFormDomain<Modular<double> > EFD (F);

    EFD.rowReducedEchelon(E,A);

    if (E.coldim() <20)
        E.write(cerr<<"Echelon = "<<endl,F)<<endl;

    return 0;
}