///////////////////////////////////////////////////////////////////////////////
//
// File: TestNekMatrixMultiplication.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:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: Tests NekMatrix functionality.
//
///////////////////////////////////////////////////////////////////////////////

#include <LibUtilities/LinearAlgebra/NekMatrix.hpp>
#include <boost/bind/bind.hpp>
#include <boost/test/tools/floating_point_comparison.hpp>
#include <boost/test/unit_test.hpp>
#include <functional>
#include <iostream>

namespace Nektar::MatrixMultiplicationTests
{
BOOST_AUTO_TEST_CASE(TestStandardFullTimesStandardFull)
{

    {
        // double buf1[] = {1, 2, 3,
        //                4, 5, 6,
        //                7, 8, 9};
        // double buf2[] = { 10, 11, 12,
        //    15, 16, 17,
        //    19, 20, 21 };
        double buf1[] = {1, 4, 7, 2, 5, 8, 3, 6, 9};
        double buf2[] = {10, 15, 19, 11, 16, 20, 12, 17, 21};

        NekMatrix<double> lhs(3, 3, buf1);
        NekMatrix<double> rhs(3, 3, buf2);

        NekMatrix<double> result = lhs * rhs;

        BOOST_CHECK(result.GetRows() == 3);
        BOOST_CHECK(result.GetColumns() == 3);

        double epsilon = 1e-12;
        BOOST_CHECK_CLOSE(*result(0, 0), 97.0, epsilon);
        BOOST_CHECK_CLOSE(*result(0, 1), 103.0, epsilon);
        BOOST_CHECK_CLOSE(*result(0, 2), 109.0, epsilon);

        BOOST_CHECK_CLOSE(*result(1, 0), 229.0, epsilon);
        BOOST_CHECK_CLOSE(*result(1, 1), 244.0, epsilon);
        BOOST_CHECK_CLOSE(*result(1, 2), 259.0, epsilon);

        BOOST_CHECK_CLOSE(*result(2, 0), 361.0, epsilon);
        BOOST_CHECK_CLOSE(*result(2, 1), 385.0, epsilon);
        BOOST_CHECK_CLOSE(*result(2, 2), 409.0, epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestStandardFullTimesVector)
{

    {
        // double buf1[] = {1, 2, 3,
        //                4, 5, 6,
        //                7, 8, 9};
        double buf1[] = {1, 4, 7, 2, 5, 8, 3, 6, 9};
        double buf2[] = {10, 11, 12};

        NekMatrix<double> lhs(3, 3, buf1);
        NekVector<double> rhs(3, buf2);
        NekVector<double> result = lhs * rhs;

        BOOST_CHECK(result.GetRows() == 3);

        double epsilon = 1e-12;
        BOOST_CHECK_CLOSE(result[0], 68.0, epsilon);
        BOOST_CHECK_CLOSE(result[1], 167.0, epsilon);
        BOOST_CHECK_CLOSE(result[2], 266.0, epsilon);
    }

    {
        // double buf1[] = {1, 2, 3,
        //                4, 5, 6,
        //                7, 8, 9,
        //                10, 11, 12};
        double buf1[] = {1, 4, 7, 10, 2, 5, 8, 11, 3, 6, 9, 12};
        double buf2[] = {10, 11, 12};

        NekMatrix<double> lhs(4, 3, buf1);
        NekVector<double> rhs(3, buf2);
        NekVector<double> result = lhs * rhs;

        BOOST_CHECK(result.GetRows() == 4);

        double epsilon = 1e-12;
        BOOST_CHECK_CLOSE(result[0], 68.0, epsilon);
        BOOST_CHECK_CLOSE(result[1], 167.0, epsilon);
        BOOST_CHECK_CLOSE(result[2], 266.0, epsilon);
        BOOST_CHECK_CLOSE(result[3], 365.0, epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestScaledFullTimesScaledFull)
{

    {
        // double buf1[] = {1, 2, 3,
        //                 4, 5, 6,
        //                 7, 8, 9};
        // double buf2[] = { 10, 11, 12,
        //                  15, 16, 17,
        //                  19, 20, 21 };
        double buf1[] = {1, 4, 7, 2, 5, 8, 3, 6, 9};
        double buf2[] = {10, 15, 19, 11, 16, 20, 12, 17, 21};

        std::shared_ptr<NekMatrix<double>> lhsInnerMatrix(
            new NekMatrix<double>(3, 3, buf1));
        std::shared_ptr<NekMatrix<double>> rhsInnerMatrix(
            new NekMatrix<double>(3, 3, buf2));

        NekMatrix<NekMatrix<double>, ScaledMatrixTag> lhs(2.0, lhsInnerMatrix);
        NekMatrix<NekMatrix<double>, ScaledMatrixTag> rhs(3.0, rhsInnerMatrix);

        NekMatrix<double> result = lhs * rhs;

        BOOST_CHECK(result.GetRows() == 3);
        BOOST_CHECK(result.GetColumns() == 3);

        double epsilon = 1e-12;
        BOOST_CHECK_CLOSE(*result(0, 0), 582.0, epsilon);
        BOOST_CHECK_CLOSE(*result(0, 1), 618.0, epsilon);
        BOOST_CHECK_CLOSE(*result(0, 2), 654.0, epsilon);

        BOOST_CHECK_CLOSE(*result(1, 0), 1374.0, epsilon);
        BOOST_CHECK_CLOSE(*result(1, 1), 1464.0, epsilon);
        BOOST_CHECK_CLOSE(*result(1, 2), 1554.0, epsilon);

        BOOST_CHECK_CLOSE(*result(2, 0), 2166.0, epsilon);
        BOOST_CHECK_CLOSE(*result(2, 1), 2310.0, epsilon);
        BOOST_CHECK_CLOSE(*result(2, 2), 2454.0, epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestScaledFullTimesVector)
{

    {
        // double buf1[] = {1, 2, 3,
        //                4, 5, 6,
        //                7, 8, 9};
        double buf1[] = {1, 4, 7, 2, 5, 8, 3, 6, 9};
        double buf2[] = {10, 11, 12};

        std::shared_ptr<NekMatrix<double>> innerMatrix(
            new NekMatrix<double>(3, 3, buf1));
        NekMatrix<NekMatrix<double>, ScaledMatrixTag> lhs(2.0, innerMatrix);
        NekVector<double> rhs(3, buf2);
        NekVector<double> result = lhs * rhs;

        BOOST_CHECK(result.GetRows() == 3);

        double epsilon = 1e-12;
        BOOST_CHECK_CLOSE(result[0], 136.0, epsilon);
        BOOST_CHECK_CLOSE(result[1], 334.0, epsilon);
        BOOST_CHECK_CLOSE(result[2], 532.0, epsilon);
    }

    {
        // double buf1[] = {1, 2, 3,
        //                4, 5, 6,
        //                7, 8, 9,
        //                10, 11, 12};
        double buf1[] = {1, 4, 7, 10, 2, 5, 8, 11, 3, 6, 9, 12};
        double buf2[] = {10, 11, 12};

        std::shared_ptr<NekMatrix<double>> innerMatrix(
            new NekMatrix<double>(4, 3, buf1));
        NekMatrix<NekMatrix<double>, ScaledMatrixTag> lhs(3.0, innerMatrix);
        NekVector<double> rhs(3, buf2);
        NekVector<double> result = lhs * rhs;

        BOOST_CHECK(result.GetRows() == 4);

        double epsilon = 1e-12;
        BOOST_CHECK_CLOSE(result[0], 204.0, epsilon);
        BOOST_CHECK_CLOSE(result[1], 501.0, epsilon);
        BOOST_CHECK_CLOSE(result[2], 798.0, epsilon);
        BOOST_CHECK_CLOSE(result[3], 1095.0, epsilon);
    }
}
} // namespace Nektar::MatrixMultiplicationTests
