examples/dot-product.C

Timings on dot products of random vectors.

Author

Bradford Hovinen hovin.nosp@m.en@c.nosp@m.is.ud.nosp@m.el.e.nosp@m.du

Use of vectors meeting the LinBox dense and sparse vector archetypes is illustrated and their dot-product times are benchmarked.

Constructs random vectors and computes their dot product, giving the required time.

/*
 * examples/dot-product.C
 *
 * Copyright (C) 2002, 2010 Bradford Hovinen <hovinen@cis.udel.edu>
 * ========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========
 */

#include <linbox/linbox-config.h>

#include <iostream>

#include <linbox/ring/modular.h>
#include <linbox/vector/vector-domain.h>
#include <linbox/vector/stream.h>
#include <linbox/util/commentator.h>

using namespace LinBox;

typedef Givaro::Modular<uint32_t> Field;

int main (int argc, char **argv)
{
    // Constants: we are working with an n x n matrix over GF(q)
    const int    n = 10000000;
    const double p = .001;
    const int    q = 32749;


    commentator().setMaxDepth (1);
    commentator().setReportStream (std::cout);

    Field F (q); Field::RandIter gen(F);

    RandomDenseStream<Field, Vector<Field>::Dense> factory1 (F, gen, n);
    RandomSparseStream<Field, Vector<Field>::SparseSeq> factory2 (F, gen, p, n);
    RandomSparseStream<Field, Vector<Field>::SparsePar> factory3 (F, gen, p, n);

    Vector<Field>::Dense v1 (n), v2 (n);
    Vector<Field>::SparseSeq v3;
    Vector<Field>::SparsePar v4;

    factory1 >> v1 >> v2;
    factory2 >> v3;
    factory3 >> v4;

    VectorDomain<Field> VD (F);
    Field::Element res;

    commentator().start ("dense/dense dot product (1)");
    for (int i = 0; i < 1; i++)
        VD.dot (res, v1, v2);
    commentator().stop ("done");

    commentator().start ("dense/sparse sequence dot product (1000)");
    for (int i = 0; i < 1000; i++)
        VD.dot (res, v1, v3);
    commentator().stop ("done");

    commentator().start ("dense/sparse parallel dot product (1000)");
    for (int i = 0; i < 1000; i++)
        VD.dot (res, v1, v4);
    commentator().stop ("done");

    return 0;
}

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