testNekLinAlgAlgorithms.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: testNekLinAlgAlgorithms.cpp
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
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// The above copyright notice and this permission notice shall be included
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// Description:
//
///////////////////////////////////////////////////////////////////////////////
 
#include <boost/test/tools/floating_point_comparison.hpp>
#include <boost/test/unit_test.hpp>
 
#include <LibUtilities/LinearAlgebra/NekLinAlgAlgorithms.hpp>
#include <LibUtilities/LinearAlgebra/NekMatrix.hpp>
#include <LibUtilities/LinearAlgebra/NekVector.hpp>
#include <vector>
 
namespace Nektar
{
namespace NekLinAlgTests
{
BOOST_AUTO_TEST_CASE(TestGramSchmidtOrthogonalizationBookExample)
{
    double buf_0[] = {1.0, 0.0, 2.0};
    double buf_1[] = {2.0, 3.0, 0.0};
 
    std::vector<NekVector<double>> x;
    x.push_back(NekVector<double>(3, buf_0));
    x.push_back(NekVector<double>(3, buf_1));
 
    std::vector<NekVector<double>> q = GramSchmidtOrthogonalization(x);
 
    BOOST_CHECK_EQUAL(q.size(), 2);
 
    double epsilon = 1e-1;
    BOOST_CHECK_CLOSE(q[0][0], .4472, epsilon);
    BOOST_CHECK_CLOSE(q[0][1], .0, epsilon);
    BOOST_CHECK_CLOSE(q[0][2], .8942, epsilon);
 
    BOOST_CHECK_CLOSE(q[1][0], .45811, epsilon);
    BOOST_CHECK_CLOSE(q[1][1], .85890, epsilon);
    BOOST_CHECK_CLOSE(q[1][2], -.22890, epsilon);
}
} // namespace NekLinAlgTests
} // namespace Nektar