testNekVector.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: testNekVector.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: Test code for NekVector
//
///////////////////////////////////////////////////////////////////////////////
 
#include <LibUtilities/LinearAlgebra/NekMatrix.hpp>
#include <LibUtilities/LinearAlgebra/NekVector.hpp>
 
#include <boost/test/tools/floating_point_comparison.hpp>
#include <boost/test/unit_test.hpp>
 
#include <iostream>
 
using std::cout;
using std::endl;
 
namespace Nektar::UnitTests
{
using namespace Nektar;
 
class VectorTestClass
{
public:
    VectorTestClass() : m_dataValue(0)
    {
    }
    explicit VectorTestClass(int data) : m_dataValue(data)
    {
    }
    VectorTestClass(const VectorTestClass &in) = default;
    ~VectorTestClass()
    {
    }
 
    VectorTestClass operator=(const VectorTestClass &rhs)
    {
        m_dataValue = rhs.m_dataValue;
        return *this;
    }
 
    int value() const
    {
        return m_dataValue;
    }
 
private:
    int m_dataValue;
};
 
bool operator==(const VectorTestClass &lhs, const VectorTestClass &rhs)
{
    return lhs.value() == rhs.value();
}
 
bool operator!=(const VectorTestClass &lhs, const VectorTestClass &rhs)
{
    return !(lhs == rhs);
}
 
struct TenD
{
    static const unsigned int Value = 10;
};
 
BOOST_AUTO_TEST_CASE(TestNekVectorConstruction)
{
    // Test the constructors on a numeric type.
    {
        NekVector<double> p1(10, 2.7);
        BOOST_CHECK(p1.GetDimension() == 10);
        for (unsigned int i = 0; i < p1.GetDimension(); ++i)
        {
            BOOST_CHECK(p1(i) == 2.7);
            BOOST_CHECK(p1[i] == 2.7);
        }
 
        NekVector<double> p2(1, 0.0);
        BOOST_CHECK(p2.GetDimension() == 1);
        BOOST_CHECK(p2(0) == 0.0);
 
        NekVector<double> p3(p1);
        BOOST_CHECK(p3.GetDimension() == 10);
        for (unsigned int i = 0; i < p3.GetDimension(); ++i)
        {
            BOOST_CHECK(p3(i) == 2.7);
            BOOST_CHECK(p3[i] == 2.7);
        }
 
        p2 = p3;
        BOOST_CHECK(p2.GetDimension() == 10);
        for (unsigned int i = 0; i < p2.GetDimension(); ++i)
        {
            BOOST_CHECK_EQUAL(p2(i), 2.7);
            BOOST_CHECK_EQUAL(p2[i], 2.7);
        }
    }
}
 
BOOST_AUTO_TEST_CASE(TestNekVectorOperators)
{
    NekVector<double> v1(3, 1.0);
    v1(0) = 1.1;
    v1(1) = 1.2;
    v1(2) = 1.3;
 
    BOOST_CHECK(v1(0) == 1.1);
    BOOST_CHECK(v1(1) == 1.2);
    BOOST_CHECK(v1(2) == 1.3);
 
    v1[0] = 1.4;
    v1[1] = 1.5;
    v1[2] = 1.6;
 
    BOOST_CHECK(v1[0] == 1.4);
    BOOST_CHECK(v1[1] == 1.5);
    BOOST_CHECK(v1[2] == 1.6);
 
    v1.x() = 1.7;
    v1.y() = 1.8;
    v1.z() = 1.9;
 
    BOOST_CHECK(v1[0] == 1.7);
    BOOST_CHECK(v1[1] == 1.8);
    BOOST_CHECK(v1[2] == 1.9);
 
    BOOST_CHECK(v1.x() == 1.7);
    BOOST_CHECK(v1.y() == 1.8);
    BOOST_CHECK(v1.z() == 1.9);
 
    NekVector<double> v2(3, 1.0);
    v2.x() = 1.7;
    v2.y() = 1.8;
    v2.z() = 1.9;
 
    BOOST_CHECK(v1 == v2);
    BOOST_CHECK(!(v1 != v2));
 
    NekVector<double> v3(4, 2.0);
    BOOST_CHECK(v3 != v1);
 
    NekVector<double> v4(3, 0.0);
    BOOST_CHECK(v4 != v1);
}
 
BOOST_AUTO_TEST_CASE(TestNekVectorArithmetic)
{
}
 
BOOST_AUTO_TEST_CASE(TestNorms)
{
    double vals[] = {1, -2, 3};
    NekVector<double> v(3, vals);
 
    double epsilon = 1e-11;
    BOOST_CHECK_EQUAL(v.L1Norm(), 1.0 + 2.0 + 3.0);
    BOOST_CHECK_CLOSE(v.L2Norm(), sqrt(1.0 + 4.0 + 9.0), epsilon);
    BOOST_CHECK_EQUAL(v.InfinityNorm(), 3);
}
 
BOOST_AUTO_TEST_CASE(TestMatrixVectorMultiply)
{
    {
        // double matrix_buf[] = {1.0, 2.0, 3.0,
        //                    4.0, 5.0, 6.0,
        //                    7.0, 8.0, 9.0};
        double matrix_buf[] = {1.0, 4.0, 7.0, 2.0, 5.0, 8.0, 3.0, 6.0, 9.0};
        double vector_buf[] = {20.0, 30.0, 40.0};
 
        NekMatrix<double> m(3, 3, matrix_buf);
        NekVector<double> v(3, vector_buf);
        NekVector<double> result = m * v;
 
        double result_buf[] = {200.0, 470.0, 740.0};
        NekVector<double> expected_result(3, result_buf);
        BOOST_CHECK_EQUAL(result, expected_result);
        BOOST_CHECK_EQUAL(3u, result.GetDimension());
    }
 
    {
        // double matrix_buf[] = {1.0, 2.0, 3.0,
        //                    4.0, 5.0, 6.0,
        //                    7.0, 8.0, 9.0};
        double matrix_buf[] = {1.0, 4.0, 7.0, 2.0, 5.0, 8.0, 3.0, 6.0, 9.0};
        double vector_buf[] = {20.0, 30.0, 40.0};
 
        std::shared_ptr<NekMatrix<double>> m(
            new NekMatrix<double>(3, 3, matrix_buf));
        NekMatrix<NekMatrix<double>, ScaledMatrixTag> s(2.0, m);
        NekVector<double> v(3, vector_buf);
        NekVector<double> result = s * v;
 
        double result_buf[] = {400.0, 940.0, 1480.0};
        NekVector<double> expected_result(3, result_buf);
        BOOST_CHECK_EQUAL(result, expected_result);
        BOOST_CHECK_EQUAL(3u, result.GetDimension());
    }
 
    {
        // double m1_buf[] = {1.0, 2.0, 3.0, 4.0};
        // double m2_buf[] = {5.0, 6.0, 7.0, 8.0};
        // double m3_buf[] = {9.0, 10.0, 11.0, 12.0};
        double m1_buf[]     = {1.0, 3.0, 2.0, 4.0};
        double m2_buf[]     = {5.0, 7.0, 6.0, 8.0};
        double m3_buf[]     = {9.0, 11.0, 10.0, 12.0};
        double vector_buf[] = {20.0, 30.0};
 
        std::shared_ptr<NekMatrix<double>> m1(
            new NekMatrix<double>(2, 2, m1_buf));
        std::shared_ptr<NekMatrix<double>> m2(
            new NekMatrix<double>(2, 2, m2_buf));
        std::shared_ptr<NekMatrix<double>> m3(
            new NekMatrix<double>(2, 2, m3_buf));
 
        NekMatrix<NekMatrix<double>, BlockMatrixTag> b(3, 1, 2, 2);
        b.SetBlock(0, 0, m1);
        b.SetBlock(1, 0, m2);
        b.SetBlock(2, 0, m3);
 
        NekVector<double> v(2, vector_buf);
        NekVector<double> result = b * v;
 
        double result_buf[] = {80.0, 180.0, 280.0, 380.0, 480.0, 580.0};
        NekVector<double> expected_result(6, result_buf);
        BOOST_CHECK_EQUAL(result, expected_result);
        BOOST_CHECK_EQUAL(6u, result.GetDimension());
    }
 
    {
        double m_buf[]                         = {1, 4, 7, 2, 5, 8, 3, 6, 9};
        double v_buf[]                         = {10, 11, 12};
        double expected_result_buf[]           = {68, 167, 266};
        double expected_transpose_result_buf[] = {138, 171, 204};
 
        NekMatrix<double> m(3, 3, m_buf);
        NekVector<double> v_variable(3, v_buf);
        NekVector<double> v_constant(3, v_buf);
        NekVector<double> expected_result(3, expected_result_buf);
        NekVector<double> expected_transpose_result(
            3, expected_transpose_result_buf);
 
        NekVector<double> constantResult = m * v_constant;
        NekVector<double> variableResult = m * v_variable;
        BOOST_CHECK_EQUAL(variableResult, expected_result);
        BOOST_CHECK_EQUAL(constantResult, expected_result);
 
        m.Transpose();
        constantResult = m * v_constant;
        variableResult = m * v_variable;
        BOOST_CHECK_EQUAL(variableResult, expected_transpose_result);
        BOOST_CHECK_EQUAL(constantResult, expected_transpose_result);
 
        m.Transpose();
        constantResult = m * v_constant;
        variableResult = m * v_variable;
        BOOST_CHECK_EQUAL(variableResult, expected_result);
        BOOST_CHECK_EQUAL(constantResult, expected_result);
 
        NekMatrix<double> transposed = Transpose(m);
        constantResult               = transposed * v_constant;
        variableResult               = transposed * v_variable;
        BOOST_CHECK_EQUAL(variableResult, expected_transpose_result);
        BOOST_CHECK_EQUAL(constantResult, expected_transpose_result);
    }
 
    {
        double m_buf[]                         = {1, 4, 2, 5, 3, 6};
        double v_non_transposed_buf[]          = {10, 11, 12};
        double v_transposed_buf[]              = {20, 21};
        double expected_result_buf[]           = {68, 167};
        double expected_transpose_result_buf[] = {104, 145, 186};
 
        NekMatrix<double> m(2, 3, m_buf);
        NekVector<double> v_non_transposed_variable(3, v_non_transposed_buf);
        NekVector<double> v_non_transposed_constant(3, v_non_transposed_buf);
        NekVector<double> v_transposed_variable(2, v_transposed_buf);
        NekVector<double> v_transposed_constant(2, v_transposed_buf);
        NekVector<double> expected_result(2, expected_result_buf);
        NekVector<double> expected_transpose_result(
            3, expected_transpose_result_buf);
 
        NekVector<double> variableResult = m * v_non_transposed_variable;
        NekVector<double> constantResult = m * v_non_transposed_constant;
        BOOST_CHECK_EQUAL(variableResult, expected_result);
        BOOST_CHECK_EQUAL(constantResult, expected_result);
 
        m.Transpose();
        variableResult = m * v_transposed_variable;
        constantResult = m * v_transposed_constant;
        BOOST_CHECK_EQUAL(variableResult, expected_transpose_result);
        BOOST_CHECK_EQUAL(constantResult, expected_transpose_result);
 
        m.Transpose();
        variableResult = m * v_non_transposed_variable;
        constantResult = m * v_non_transposed_constant;
        BOOST_CHECK_EQUAL(variableResult, expected_result);
        BOOST_CHECK_EQUAL(constantResult, expected_result);
 
        NekMatrix<double> transposed = Transpose(m);
        variableResult               = transposed * v_transposed_variable;
        constantResult               = transposed * v_transposed_constant;
        BOOST_CHECK_EQUAL(variableResult, expected_transpose_result);
        BOOST_CHECK_EQUAL(constantResult, expected_transpose_result);
    }
}
 
BOOST_AUTO_TEST_CASE(TestVectorConstructorsWithSizeArguments)
{
    {
        double buf[] = {1.0, 2.0, 3.0, 4.0};
        Array<OneD, double> a(4, buf);
        NekVector<double> b(3, a);
 
        BOOST_CHECK_EQUAL(b.GetRows(), 3u);
        BOOST_CHECK_EQUAL(b.GetDimension(), 3u);
        BOOST_CHECK_EQUAL(b[0], 1.0);
        BOOST_CHECK_EQUAL(b[1], 2.0);
        BOOST_CHECK_EQUAL(b[2], 3.0);
 
        NekVector<double>::iterator iter = b.begin();
        BOOST_CHECK_EQUAL(*iter, 1.0);
        ++iter;
        BOOST_CHECK_EQUAL(*iter, 2.0);
        ++iter;
        BOOST_CHECK_EQUAL(*iter, 3.0);
        ++iter;
        BOOST_CHECK(iter == b.end());
    }
 
    {
        double buf[] = {1.0, 2.0, 3.0, 4.0};
        Array<OneD, const double> a(4, buf);
        NekVector<double> b(3, a);
 
        BOOST_CHECK_EQUAL(b.GetRows(), 3u);
        BOOST_CHECK_EQUAL(b.GetDimension(), 3u);
        BOOST_CHECK_EQUAL(b[0], 1.0);
        BOOST_CHECK_EQUAL(b[1], 2.0);
        BOOST_CHECK_EQUAL(b[2], 3.0);
 
        NekVector<double>::iterator iter = b.begin();
        BOOST_CHECK_EQUAL(*iter, 1.0);
        ++iter;
        BOOST_CHECK_EQUAL(*iter, 2.0);
        ++iter;
        BOOST_CHECK_EQUAL(*iter, 3.0);
        ++iter;
        BOOST_CHECK(iter == b.end());
    }
 
    {
        double buf[] = {1.0, 2.0, 3.0, 4.0};
        Array<OneD, double> a(4, buf);
        NekVector<double> b(3, a, eWrapper);
 
        BOOST_CHECK_EQUAL(b.GetRows(), 3u);
        BOOST_CHECK_EQUAL(b.GetDimension(), 3u);
        BOOST_CHECK_EQUAL(b[0], 1.0);
        BOOST_CHECK_EQUAL(b[1], 2.0);
        BOOST_CHECK_EQUAL(b[2], 3.0);
 
        NekVector<double>::iterator iter = b.begin();
        BOOST_CHECK_EQUAL(*iter, 1.0);
        ++iter;
        BOOST_CHECK_EQUAL(*iter, 2.0);
        ++iter;
        BOOST_CHECK_EQUAL(*iter, 3.0);
        ++iter;
        BOOST_CHECK(iter == b.end());
 
        b[0] = 5.0;
        BOOST_CHECK_EQUAL(b[0], a[0]);
    }
}
 
} // namespace Nektar::UnitTests