///////////////////////////////////////////////////////////////////////////////
//
// File: TestSegCollection.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:
//
///////////////////////////////////////////////////////////////////////////////

#include <Collections/Collection.h>
#include <Collections/CollectionOptimisation.h>
#include <LocalRegions/SegExp.h>
#include <SpatialDomains/MeshGraph.h>
#include <boost/test/tools/floating_point_comparison.hpp>
#include <boost/test/unit_test.hpp>

namespace Nektar::SegCollectionTests
{
SpatialDomains::SegGeomUniquePtr CreateSegGeom(unsigned int id,
                                               SpatialDomains::PointGeom *v0,
                                               SpatialDomains::PointGeom *v1,
                                               int coordim = 1)
{
    std::array<SpatialDomains::PointGeom *, 2> vertices = {v0, v1};
    SpatialDomains::SegGeomUniquePtr result(
        new SpatialDomains::SegGeom(id, coordim, vertices));
    return result;
}

BOOST_AUTO_TEST_CASE(TestSegBwdTrans_StdMat_UniformP)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    CollExp.push_back(Exp);

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eStdMat);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eBwdTrans);

    Array<OneD, NekDouble> coeffs(Exp->GetNcoeffs(), 1.0), tmp;
    for (int i = 0; i < coeffs.size(); ++i)
    {
        coeffs[i] = i + 1;
    }
    Array<OneD, NekDouble> phys1(Exp->GetTotPoints());
    Array<OneD, NekDouble> phys2(Exp->GetTotPoints());

    Exp->BwdTrans(coeffs, phys1);
    c.ApplyOperator(Collections::eBwdTrans, coeffs, phys2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < phys1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(phys1[i], phys2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegBwdTrans_StdMat_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eStdMat);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eBwdTrans);

    Array<OneD, NekDouble> coeffs(nelmts * Exp->GetNcoeffs(), 1.0), tmp;
    for (int i = 0; i < coeffs.size(); ++i)
    {
        coeffs[i] = i + 1;
    }
    Array<OneD, NekDouble> phys1(nelmts * Exp->GetTotPoints());
    Array<OneD, NekDouble> phys2(nelmts * Exp->GetTotPoints());

    for (int i = 0; i < nelmts; ++i)
    {
        Exp->BwdTrans(coeffs + i * Exp->GetNcoeffs(),
                      tmp = phys1 + i * Exp->GetTotPoints());
    }
    c.ApplyOperator(Collections::eBwdTrans, coeffs, phys2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < phys1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(phys1[i], phys2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegBwdTrans_IterPerExp_UniformP)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    CollExp.push_back(Exp);

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eBwdTrans);

    Array<OneD, NekDouble> coeffs(Exp->GetNcoeffs(), 1.0), tmp;
    for (int i = 0; i < coeffs.size(); ++i)
    {
        coeffs[i] = i + 1;
    }
    Array<OneD, NekDouble> phys1(Exp->GetTotPoints());
    Array<OneD, NekDouble> phys2(Exp->GetTotPoints());

    Exp->BwdTrans(coeffs, phys1);
    c.ApplyOperator(Collections::eBwdTrans, coeffs, phys2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < phys1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(phys1[i], phys2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegBwdTrans_SumFac_UniformP)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 1;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eSumFac);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eBwdTrans);

    Array<OneD, NekDouble> coeffs(nelmts * Exp->GetNcoeffs(), 1.0), tmp;
    for (int i = 0; i < coeffs.size(); ++i)
    {
        coeffs[i] = i + 1;
    }
    Array<OneD, NekDouble> phys1(nelmts * Exp->GetTotPoints());
    Array<OneD, NekDouble> phys2(nelmts * Exp->GetTotPoints());

    for (int i = 0; i < nelmts; ++i)
    {
        Exp->BwdTrans(coeffs + i * Exp->GetNcoeffs(),
                      tmp = phys1 + i * Exp->GetTotPoints());
    }
    c.ApplyOperator(Collections::eBwdTrans, coeffs, phys2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < phys1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(phys1[i], phys2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegBwdTrans_SumFac_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eSumFac);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eBwdTrans);

    Array<OneD, NekDouble> coeffs(nelmts * Exp->GetNcoeffs(), 1.0), tmp;
    for (int i = 0; i < coeffs.size(); ++i)
    {
        coeffs[i] = i + 1;
    }
    Array<OneD, NekDouble> phys1(nelmts * Exp->GetTotPoints());
    Array<OneD, NekDouble> phys2(nelmts * Exp->GetTotPoints());

    for (int i = 0; i < nelmts; ++i)
    {
        Exp->BwdTrans(coeffs + i * Exp->GetNcoeffs(),
                      tmp = phys1 + i * Exp->GetTotPoints());
    }
    c.ApplyOperator(Collections::eBwdTrans, coeffs, phys2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < phys1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(phys1[i], phys2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegBwdTrans_MatrixFree_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    impTypes[Collections::eBwdTrans]     = Collections::eMatrixFree;
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eBwdTrans);

    Array<OneD, NekDouble> coeffs(nelmts * Exp->GetNcoeffs(), 1.0), tmp;
    for (int i = 0; i < coeffs.size(); ++i)
    {
        coeffs[i] = i + 1;
    }
    Array<OneD, NekDouble> phys1(nelmts * Exp->GetTotPoints());
    Array<OneD, NekDouble> phys2(nelmts * Exp->GetTotPoints());

    for (int i = 0; i < nelmts; ++i)
    {
        Exp->BwdTrans(coeffs + i * Exp->GetNcoeffs(),
                      tmp = phys1 + i * Exp->GetTotPoints());
    }
    c.ApplyOperator(Collections::eBwdTrans, coeffs, phys2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < phys1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(phys1[i], phys2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTBase_IterPerExp_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTBase);

    const int nq = Exp->GetTotPoints();
    const int nc = Exp->GetNcoeffs();
    Array<OneD, NekDouble> xc(nq), yc(nq);
    Array<OneD, NekDouble> phys(nelmts * nq), tmp;
    Array<OneD, NekDouble> coeffs1(nelmts * nc);
    Array<OneD, NekDouble> coeffs2(nelmts * nc);

    Exp->GetCoords(xc, yc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]);
    }
    Exp->IProductWRTBase(phys, coeffs1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys, 1, tmp = phys + i * nq, 1);
        Exp->IProductWRTBase(phys + i * nq, tmp = coeffs1 + i * nc);
    }
    c.ApplyOperator(Collections::eIProductWRTBase, phys, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTBase_StdMat_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eStdMat);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTBase);

    const int nq = Exp->GetTotPoints();
    const int nc = Exp->GetNcoeffs();
    Array<OneD, NekDouble> xc(nq), yc(nq);
    Array<OneD, NekDouble> phys(nelmts * nq), tmp;
    Array<OneD, NekDouble> coeffs1(nelmts * nc);
    Array<OneD, NekDouble> coeffs2(nelmts * nc);

    Exp->GetCoords(xc, yc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]);
    }
    Exp->IProductWRTBase(phys, coeffs1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys, 1, tmp = phys + i * nq, 1);
        Exp->IProductWRTBase(phys + i * nq, tmp = coeffs1 + i * nc);
    }
    c.ApplyOperator(Collections::eIProductWRTBase, phys, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTBase_SumFac_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eSumFac);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTBase);

    const int nq = Exp->GetTotPoints();
    const int nc = Exp->GetNcoeffs();
    Array<OneD, NekDouble> xc(nq), yc(nq);
    Array<OneD, NekDouble> phys(nelmts * nq), tmp;
    Array<OneD, NekDouble> coeffs1(nelmts * nc);
    Array<OneD, NekDouble> coeffs2(nelmts * nc);

    Exp->GetCoords(xc, yc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]);
    }
    Exp->IProductWRTBase(phys, coeffs1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys, 1, tmp = phys + i * nq, 1);
        Exp->IProductWRTBase(phys + i * nq, tmp = coeffs1 + i * nc);
    }
    c.ApplyOperator(Collections::eIProductWRTBase, phys, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTBase_MatrixFree_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes    = colOpt.GetOperatorImpMap(Exp);
    impTypes[Collections::eIProductWRTBase] = Collections::eMatrixFree;
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTBase);

    const int nq = Exp->GetTotPoints();
    const int nc = Exp->GetNcoeffs();
    Array<OneD, NekDouble> xc(nq), yc(nq);
    Array<OneD, NekDouble> phys(nelmts * nq), tmp;
    Array<OneD, NekDouble> coeffs1(nelmts * nc);
    Array<OneD, NekDouble> coeffs2(nelmts * nc);

    Exp->GetCoords(xc, yc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]);
    }
    Exp->IProductWRTBase(phys, coeffs1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys, 1, tmp = phys + i * nq, 1);
        Exp->IProductWRTBase(phys + i * nq, tmp = coeffs1 + i * nc);
    }
    c.ApplyOperator(Collections::eIProductWRTBase, phys, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegPhysDeriv_IterPerExp_UniformP)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    CollExp.push_back(Exp);

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::ePhysDeriv);

    const int nq = Exp->GetTotPoints();
    Array<OneD, NekDouble> xc(nq), yc(nq);
    Array<OneD, NekDouble> phys(nq), tmp;
    Array<OneD, NekDouble> diff1(nq);
    Array<OneD, NekDouble> diff2(nq);

    Exp->GetCoords(xc, yc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]);
    }

    Exp->PhysDeriv(phys, diff1);
    c.ApplyOperator(Collections::ePhysDeriv, phys, diff2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < diff1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(diff1[i], diff2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegPhysDeriv_IterPerExp_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    int nelmts = 10;

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::ePhysDeriv);

    const int nq = Exp->GetTotPoints();
    Array<OneD, NekDouble> xc(nq);
    Array<OneD, NekDouble> phys(nelmts * nq), tmp;
    Array<OneD, NekDouble> diff1(nelmts * nq);
    Array<OneD, NekDouble> diff2(nelmts * nq);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]);
    }
    Exp->PhysDeriv(phys, diff1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys, 1, tmp = phys + i * nq, 1);
        Exp->PhysDeriv(phys + i * nq, tmp = diff1 + i * nq);
    }

    c.ApplyOperator(Collections::ePhysDeriv, phys, diff2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < diff1.size(); ++i)
    {
        diff1[i] = (fabs(diff1[i]) < 1e-14) ? 0.0 : diff1[i];
        diff2[i] = (fabs(diff2[i]) < 1e-14) ? 0.0 : diff2[i];
        BOOST_CHECK_CLOSE(diff1[i], diff2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegPhysDeriv_StdMat_UniformP)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    CollExp.push_back(Exp);

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eStdMat);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::ePhysDeriv);

    const int nq = Exp->GetTotPoints();
    Array<OneD, NekDouble> xc(nq);
    Array<OneD, NekDouble> phys(nq), tmp;
    Array<OneD, NekDouble> diff1(nq);
    Array<OneD, NekDouble> diff2(nq);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]);
    }

    Exp->PhysDeriv(phys, diff1);
    c.ApplyOperator(Collections::ePhysDeriv, phys, diff2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < diff1.size(); ++i)
    {
        BOOST_CHECK_CLOSE(diff1[i], diff2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegPhysDeriv_StdMat_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    int nelmts = 10;

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eStdMat);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::ePhysDeriv);

    const int nq = Exp->GetTotPoints();
    Array<OneD, NekDouble> xc(nq);
    Array<OneD, NekDouble> phys(nelmts * nq), tmp;
    Array<OneD, NekDouble> diff1(nelmts * nq);
    Array<OneD, NekDouble> diff2(nelmts * nq);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]);
    }
    Exp->PhysDeriv(phys, diff1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys, 1, tmp = phys + i * nq, 1);
        Exp->PhysDeriv(phys + i * nq, tmp = diff1 + i * nq);
    }

    c.ApplyOperator(Collections::ePhysDeriv, phys, diff2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < diff1.size(); ++i)
    {
        diff1[i] = (fabs(diff1[i]) < 1e-14) ? 0.0 : diff1[i];
        diff2[i] = (fabs(diff2[i]) < 1e-14) ? 0.0 : diff2[i];
        BOOST_CHECK_CLOSE(diff1[i], diff2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegPhysDeriv_SumFac_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    int nelmts = 10;

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eSumFac);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::ePhysDeriv);

    const int nq = Exp->GetTotPoints();
    Array<OneD, NekDouble> xc(nq);
    Array<OneD, NekDouble> phys(nelmts * nq), tmp;
    Array<OneD, NekDouble> diff1(nelmts * nq);
    Array<OneD, NekDouble> diff2(nelmts * nq);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]);
    }
    Exp->PhysDeriv(phys, diff1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys, 1, tmp = phys + i * nq, 1);
        Exp->PhysDeriv(phys + i * nq, tmp = diff1 + i * nq);
    }

    c.ApplyOperator(Collections::ePhysDeriv, phys, diff2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < diff1.size(); ++i)
    {
        diff1[i] = (fabs(diff1[i]) < 1e-14) ? 0.0 : diff1[i];
        diff2[i] = (fabs(diff2[i]) < 1e-14) ? 0.0 : diff2[i];
        BOOST_CHECK_CLOSE(diff1[i], diff2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegPhysDeriv_MatrixFree_UniformP_MultiElmt_1D)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    int nelmts = 10;

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    impTypes[Collections::ePhysDeriv]    = Collections::eMatrixFree;
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::ePhysDeriv);

    const int nq = Exp->GetTotPoints();
    Array<OneD, NekDouble> xc(nq);
    Array<OneD, NekDouble> phys(nelmts * nq), tmp;
    Array<OneD, NekDouble> diff1(nelmts * nq);
    Array<OneD, NekDouble> diff2(nelmts * nq);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]);
    }
    Exp->PhysDeriv(phys, diff1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys, 1, tmp = phys + i * nq, 1);
        Exp->PhysDeriv(phys + i * nq, tmp = diff1 + i * nq);
    }

    c.ApplyOperator(Collections::ePhysDeriv, phys, diff2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < diff1.size(); ++i)
    {
        diff1[i] = (fabs(diff1[i]) < 1e-14) ? 0.0 : diff1[i];
        diff2[i] = (fabs(diff2[i]) < 1e-14) ? 0.0 : diff2[i];
        BOOST_CHECK_CLOSE(diff1[i], diff2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegPhysDeriv_MatrixFree_UniformP_MultiElmt_2D)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(2u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(2u, 1u, 1.0, 1.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get(), 2u);

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    int nelmts = 10;

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    impTypes[Collections::ePhysDeriv]    = Collections::eMatrixFree;
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::ePhysDeriv);

    const int nq = Exp->GetTotPoints();
    Array<OneD, NekDouble> xc(nq), yc(nq);
    Array<OneD, NekDouble> phys(nelmts * nq), tmp, tmp1;
    Array<OneD, NekDouble> diff1(2 * nelmts * nq);
    Array<OneD, NekDouble> diff2(2 * nelmts * nq);

    Exp->GetCoords(xc, yc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]) * cos(yc[i]);
    }
    Exp->PhysDeriv(phys, diff1, tmp = diff1 + nelmts * nq);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys, 1, tmp = phys + i * nq, 1);
        Exp->PhysDeriv(phys + i * nq, tmp = diff1 + i * nq,
                       tmp1 = diff1 + (nelmts + i) * nq);
    }

    c.ApplyOperator(Collections::ePhysDeriv, phys, diff2,
                    tmp = diff2 + nelmts * nq);

    double epsilon = 1.0e-8;
    for (int i = 0; i < diff1.size(); ++i)
    {
        diff1[i] = (fabs(diff1[i]) < 1e-14) ? 0.0 : diff1[i];
        diff2[i] = (fabs(diff2[i]) < 1e-14) ? 0.0 : diff2[i];
        BOOST_CHECK_CLOSE(diff1[i], diff2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegPhysDeriv_MatrixFree_UniformP_MultiElmt_3D)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(3u, 0u, -1.5, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(3u, 1u, 1.0, 1.0, 1.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get(), 3u);

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(5,
                                                           segPointsTypeDir1);
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    int nelmts = 10;

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    impTypes[Collections::ePhysDeriv]    = Collections::eMatrixFree;
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::ePhysDeriv);

    const int nq = Exp->GetTotPoints();
    Array<OneD, NekDouble> xc(nq), yc(nq), zc(nq);
    Array<OneD, NekDouble> phys(nelmts * nq), tmp, tmp1, tmp2;
    Array<OneD, NekDouble> diff1(3 * nelmts * nq);
    Array<OneD, NekDouble> diff2(3 * nelmts * nq);

    Exp->GetCoords(xc, yc, zc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = sin(xc[i]) * cos(yc[i]) * sin(zc[i]);
    }
    Exp->PhysDeriv(phys, diff1, tmp = diff1 + nelmts * nq,
                   tmp1 = diff1 + 2 * nelmts * nq);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys, 1, tmp = phys + i * nq, 1);
        Exp->PhysDeriv(phys + i * nq, tmp = diff1 + i * nq,
                       tmp1 = diff1 + (nelmts + i) * nq,
                       tmp2 = diff1 + (2 * nelmts + i) * nq);
    }

    c.ApplyOperator(Collections::ePhysDeriv, phys, diff2,
                    tmp = diff2 + nelmts * nq, tmp1 = diff2 + 2 * nelmts * nq);

    double epsilon = 1.0e-8;
    for (int i = 0; i < diff1.size(); ++i)
    {
        diff1[i] = (fabs(diff1[i]) < 1e-14) ? 0.0 : diff1[i];
        diff2[i] = (fabs(diff2[i]) < 1e-14) ? 0.0 : diff2[i];
        BOOST_CHECK_CLOSE(diff1[i], diff2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTDerivBase_IterPerExp_UniformP)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    CollExp.push_back(Exp);

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTDerivBase);

    const int nq = Exp->GetTotPoints();
    const int nm = Exp->GetNcoeffs();
    Array<OneD, NekDouble> phys1(nq);
    Array<OneD, NekDouble> coeffs1(nm);
    Array<OneD, NekDouble> coeffs2(nm);

    Array<OneD, NekDouble> xc(nq);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys1[i] = sin(xc[i]);
    }

    // Standard routines
    Exp->IProductWRTDerivBase(0, phys1, coeffs1);

    c.ApplyOperator(Collections::eIProductWRTDerivBase, phys1, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        coeffs1[i] = (fabs(coeffs1[i]) < 1e-14) ? 0.0 : coeffs1[i];
        coeffs2[i] = (fabs(coeffs2[i]) < 1e-14) ? 0.0 : coeffs2[i];
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTDerivBase_IterPerExp_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTDerivBase);

    const int nq = Exp->GetTotPoints();
    const int nm = Exp->GetNcoeffs();
    Array<OneD, NekDouble> xc(nq), tmp, tmp1;
    Array<OneD, NekDouble> phys1(nelmts * nq);
    Array<OneD, NekDouble> coeffs1(nelmts * nm);
    Array<OneD, NekDouble> coeffs2(nelmts * nm);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys1[i] = sin(xc[i]);
    }
    Exp->IProductWRTDerivBase(0, phys1, coeffs1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys1, 1, tmp = phys1 + i * nq, 1);

        // Standard routines
        Exp->IProductWRTDerivBase(0, phys1 + i * nq, tmp = coeffs1 + i * nm);
    }

    c.ApplyOperator(Collections::eIProductWRTDerivBase, phys1, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        coeffs1[i] = (fabs(coeffs1[i]) < 1e-14) ? 0.0 : coeffs1[i];
        coeffs2[i] = (fabs(coeffs2[i]) < 1e-14) ? 0.0 : coeffs2[i];
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTDerivBase_StdMat_UniformP)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    CollExp.push_back(Exp);

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eStdMat);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTDerivBase);

    const int nq = Exp->GetTotPoints();
    const int nm = Exp->GetNcoeffs();
    Array<OneD, NekDouble> phys1(nq);
    Array<OneD, NekDouble> coeffs1(nm);
    Array<OneD, NekDouble> coeffs2(nm);

    Array<OneD, NekDouble> xc(nq);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys1[i] = sin(xc[i]);
    }

    // Standard routines
    Exp->IProductWRTDerivBase(0, phys1, coeffs1);

    c.ApplyOperator(Collections::eIProductWRTDerivBase, phys1, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        coeffs1[i] = (fabs(coeffs1[i]) < 1e-14) ? 0.0 : coeffs1[i];
        coeffs2[i] = (fabs(coeffs2[i]) < 1e-14) ? 0.0 : coeffs2[i];
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTDerivBase_StdMat_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eStdMat);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTDerivBase);

    const int nq = Exp->GetTotPoints();
    const int nm = Exp->GetNcoeffs();
    Array<OneD, NekDouble> xc(nq), tmp, tmp1;
    Array<OneD, NekDouble> phys1(nelmts * nq);
    Array<OneD, NekDouble> coeffs1(nelmts * nm);
    Array<OneD, NekDouble> coeffs2(nelmts * nm);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys1[i] = sin(xc[i]);
    }
    Exp->IProductWRTDerivBase(0, phys1, coeffs1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys1, 1, tmp = phys1 + i * nq, 1);

        // Standard routines
        Exp->IProductWRTDerivBase(0, phys1 + i * nq, tmp = coeffs1 + i * nm);
    }

    c.ApplyOperator(Collections::eIProductWRTDerivBase, phys1, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        coeffs1[i] = (fabs(coeffs1[i]) < 1e-14) ? 0.0 : coeffs1[i];
        coeffs2[i] = (fabs(coeffs2[i]) < 1e-14) ? 0.0 : coeffs2[i];
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTDerivBase_SumFac_UniformP)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    CollExp.push_back(Exp);

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eSumFac);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTDerivBase);

    const int nq = Exp->GetTotPoints();
    const int nm = Exp->GetNcoeffs();
    Array<OneD, NekDouble> phys1(nq);
    Array<OneD, NekDouble> coeffs1(nm);
    Array<OneD, NekDouble> coeffs2(nm);

    Array<OneD, NekDouble> xc(nq);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys1[i] = sin(xc[i]);
    }

    // Standard routines
    Exp->IProductWRTDerivBase(0, phys1, coeffs1);

    c.ApplyOperator(Collections::eIProductWRTDerivBase, phys1, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        coeffs1[i] = (fabs(coeffs1[i]) < 1e-14) ? 0.0 : coeffs1[i];
        coeffs2[i] = (fabs(coeffs2[i]) < 1e-14) ? 0.0 : coeffs2[i];
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTDerivBase_SumFac_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eSumFac);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTDerivBase);

    const int nq = Exp->GetTotPoints();
    const int nm = Exp->GetNcoeffs();
    Array<OneD, NekDouble> xc(nq), tmp, tmp1;
    Array<OneD, NekDouble> phys1(nelmts * nq);
    Array<OneD, NekDouble> coeffs1(nelmts * nm);
    Array<OneD, NekDouble> coeffs2(nelmts * nm);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys1[i] = sin(xc[i]);
    }
    Exp->IProductWRTDerivBase(0, phys1, coeffs1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys1, 1, tmp = phys1 + i * nq, 1);

        // Standard routines
        Exp->IProductWRTDerivBase(0, phys1 + i * nq, tmp = coeffs1 + i * nm);
    }

    c.ApplyOperator(Collections::eIProductWRTDerivBase, phys1, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        coeffs1[i] = (fabs(coeffs1[i]) < 1e-14) ? 0.0 : coeffs1[i];
        coeffs2[i] = (fabs(coeffs2[i]) < 1e-14) ? 0.0 : coeffs2[i];
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(
    TestSegIProductWRTDerivBase_SumFac_UniformP_MultiElmt_CoordimTwo)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 1.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get(), 2);

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eSumFac);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTDerivBase);

    const int nq = Exp->GetTotPoints();
    const int nm = Exp->GetNcoeffs();
    Array<OneD, NekDouble> xc(nq), yc(nq), tmp, tmp1;
    Array<OneD, NekDouble> phys1(nelmts * nq);
    Array<OneD, NekDouble> phys2(nelmts * nq);
    Array<OneD, NekDouble> coeffs1(nelmts * nm);
    Array<OneD, NekDouble> coeffs2(nelmts * nm);

    Exp->GetCoords(xc, yc);

    for (int i = 0; i < nq; ++i)
    {
        phys1[i] = sin(xc[i]);
        phys2[i] = cos(yc[i]);
    }
    Exp->IProductWRTDerivBase(0, phys1, coeffs1);
    Exp->IProductWRTDerivBase(1, phys2, coeffs2);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys1, 1, tmp = phys1 + i * nq, 1);
        Vmath::Vcopy(nq, phys2, 1, tmp = phys2 + i * nq, 1);

        // Standard routines
        Exp->IProductWRTDerivBase(0, phys1 + i * nq, tmp = coeffs1 + i * nm);
        Exp->IProductWRTDerivBase(1, phys2 + i * nq, tmp = coeffs2 + i * nm);
    }
    Vmath::Vadd(nelmts * nm, coeffs1, 1, coeffs2, 1, coeffs1, 1);

    c.ApplyOperator(Collections::eIProductWRTDerivBase, phys1, phys2, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        coeffs1[i] = (fabs(coeffs1[i]) < 1e-14) ? 0.0 : coeffs1[i];
        coeffs2[i] = (fabs(coeffs2[i]) < 1e-14) ? 0.0 : coeffs2[i];
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegIProductWRTDerivBase_MatrixFree_UniformP_MultiElmt)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(1u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(1u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get());

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    impTypes[Collections::eIProductWRTDerivBase] = Collections::eMatrixFree;
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTDerivBase);

    const int nq = Exp->GetTotPoints();
    const int nm = Exp->GetNcoeffs();
    Array<OneD, NekDouble> xc(nq), tmp, tmp1;
    Array<OneD, NekDouble> phys1(nelmts * nq);
    Array<OneD, NekDouble> coeffs1(nelmts * nm);
    Array<OneD, NekDouble> coeffs2(nelmts * nm);

    Exp->GetCoords(xc);

    for (int i = 0; i < nq; ++i)
    {
        phys1[i] = sin(xc[i]);
    }
    Exp->IProductWRTDerivBase(0, phys1, coeffs1);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys1, 1, tmp = phys1 + i * nq, 1);

        // Standard routines
        Exp->IProductWRTDerivBase(0, phys1 + i * nq, tmp = coeffs1 + i * nm);
    }

    c.ApplyOperator(Collections::eIProductWRTDerivBase, phys1, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        coeffs1[i] = (fabs(coeffs1[i]) < 1e-14) ? 0.0 : coeffs1[i];
        coeffs2[i] = (fabs(coeffs2[i]) < 1e-14) ? 0.0 : coeffs2[i];
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(
    TestSegIProductWRTDerivBase_MatrixFree_UniformP_MultiElmt_CoordimTwo)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(2u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(2u, 1u, 1.0, 1.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get(), 2);

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;

    int nelmts = 10;
    for (int i = 0; i < nelmts; ++i)
    {
        CollExp.push_back(Exp);
    }

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eIterPerExp);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    impTypes[Collections::eIProductWRTDerivBase] = Collections::eMatrixFree;
    Collections::Collection c(CollExp, impTypes);
    c.Initialise(Collections::eIProductWRTDerivBase);

    const int nq = Exp->GetTotPoints();
    const int nm = Exp->GetNcoeffs();
    Array<OneD, NekDouble> xc(nq), yc(nq), tmp, tmp1;
    Array<OneD, NekDouble> phys1(nelmts * nq);
    Array<OneD, NekDouble> phys2(nelmts * nq);
    Array<OneD, NekDouble> coeffs1(nelmts * nm);
    Array<OneD, NekDouble> coeffs2(nelmts * nm);

    Exp->GetCoords(xc, yc);

    for (int i = 0; i < nq; ++i)
    {
        phys1[i] = sin(xc[i]);
        phys2[i] = cos(yc[i]);
    }
    Exp->IProductWRTDerivBase(0, phys1, coeffs1);
    Exp->IProductWRTDerivBase(1, phys2, coeffs2);

    for (int i = 1; i < nelmts; ++i)
    {
        Vmath::Vcopy(nq, phys1, 1, tmp = phys1 + i * nq, 1);
        Vmath::Vcopy(nq, phys2, 1, tmp = phys2 + i * nq, 1);

        // Standard routines
        Exp->IProductWRTDerivBase(0, phys1 + i * nq, tmp = coeffs1 + i * nm);
        Exp->IProductWRTDerivBase(1, phys2 + i * nq, tmp = coeffs2 + i * nm);
    }
    Vmath::Vadd(nelmts * nm, coeffs1, 1, coeffs2, 1, coeffs1, 1);

    c.ApplyOperator(Collections::eIProductWRTDerivBase, phys1, phys2, coeffs2);

    double epsilon = 1.0e-8;
    for (int i = 0; i < coeffs1.size(); ++i)
    {
        coeffs1[i] = (fabs(coeffs1[i]) < 1e-14) ? 0.0 : coeffs1[i];
        coeffs2[i] = (fabs(coeffs2[i]) < 1e-14) ? 0.0 : coeffs2[i];
        BOOST_CHECK_CLOSE(coeffs1[i], coeffs2[i], epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegPhysInterp1D_NoCollection_UniformP)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(2u, 0u, -1.0, 0.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(2u, 1u, 1.0, 0.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get(), 2);

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    CollExp.push_back(Exp);

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eNoCollection);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);

    StdRegions::ConstFactorMap factors;
    factors[StdRegions::eFactorConst] = 1.5;
    c.Initialise(Collections::ePhysInterp1DScaled, factors);

    const int nq = Exp->GetTotPoints();

    Array<OneD, NekDouble> xc(nq), yc(nq);
    Array<OneD, NekDouble> phys(nq), tmp;

    Exp->GetCoords(xc, yc);

    for (int i = 0; i < nq; ++i)
    {
        phys[i] = pow(xc[i], 3) + pow(yc[i], 3);
    }

    const int nq1 = c.GetOutputSize(Collections::ePhysInterp1DScaled);
    Array<OneD, NekDouble> xc1(nq1);
    Array<OneD, NekDouble> yc1(nq1);
    Array<OneD, NekDouble> phys1(nq1);

    c.ApplyOperator(Collections::ePhysInterp1DScaled, xc, xc1);
    c.ApplyOperator(Collections::ePhysInterp1DScaled, yc, yc1);
    c.ApplyOperator(Collections::ePhysInterp1DScaled, phys, phys1);

    double epsilon = 1.0e-8;
    // since solution is a polynomial should be able to compare soln directly
    for (int i = 0; i < nq1; ++i)
    {
        NekDouble exact = pow(xc1[i], 3) + pow(yc1[i], 3);
        phys1[i]        = (fabs(phys1[i]) < 1e-14) ? 0.0 : phys1[i];
        exact           = (fabs(exact) < 1e-14) ? 0.0 : exact;
        BOOST_CHECK_CLOSE(phys1[i], exact, epsilon);
    }
}

BOOST_AUTO_TEST_CASE(TestSegPhysInterp1D_MatrixFree_UniformP)
{
    SpatialDomains::PointGeomUniquePtr v0(
        new SpatialDomains::PointGeom(2u, 0u, -1.0, 1.0, 0.0));
    SpatialDomains::PointGeomUniquePtr v1(
        new SpatialDomains::PointGeom(2u, 1u, 1.0, 1.0, 0.0));

    SpatialDomains::SegGeomUniquePtr segGeom =
        CreateSegGeom(0, v0.get(), v1.get(), 2);

    Nektar::LibUtilities::PointsType segPointsTypeDir1 =
        Nektar::LibUtilities::eGaussLobattoLegendre;
    Nektar::LibUtilities::BasisType basisTypeDir1 =
        Nektar::LibUtilities::eModified_A;
    unsigned int numSegPoints = 6;
    const Nektar::LibUtilities::PointsKey segPointsKeyDir1(numSegPoints,
                                                           segPointsTypeDir1);
    const Nektar::LibUtilities::BasisKey basisKeyDir1(basisTypeDir1, 4,
                                                      segPointsKeyDir1);

    Nektar::LocalRegions::SegExpSharedPtr Exp =
        MemoryManager<Nektar::LocalRegions::SegExp>::AllocateSharedPtr(
            basisKeyDir1, segGeom.get());

    std::vector<LocalRegions::ExpansionSharedPtr> CollExp;
    CollExp.push_back(Exp);

    LibUtilities::SessionReaderSharedPtr dummySession;
    Collections::CollectionOptimisation colOpt(dummySession, 1,
                                               Collections::eMatrixFree);
    Collections::OperatorImpMap impTypes = colOpt.GetOperatorImpMap(Exp);
    Collections::Collection c(CollExp, impTypes);

    StdRegions::ConstFactorMap factors;
    factors[StdRegions::eFactorConst] = 1.5;
    c.Initialise(Collections::ePhysInterp1DScaled, factors);

    const int nq = Exp->GetTotPoints();

    Array<OneD, NekDouble> xc(nq), yc(nq);
    Array<OneD, NekDouble> phys(nq), tmp;

    Exp->GetCoords(xc, yc);

    for (int i = 0; i < nq; ++i)
    {
        yc[i]   = (fabs(yc[i]) < 1e-14) ? 0.0 : yc[i];
        phys[i] = pow(xc[i], 3) + pow(yc[i], 3);
    }

    const int nq1 = c.GetOutputSize(Collections::ePhysInterp1DScaled);
    Array<OneD, NekDouble> xc1(nq1);
    Array<OneD, NekDouble> yc1(nq1);
    Array<OneD, NekDouble> phys1(nq1);

    c.ApplyOperator(Collections::ePhysInterp1DScaled, xc, xc1);
    c.ApplyOperator(Collections::ePhysInterp1DScaled, yc, yc1);
    c.ApplyOperator(Collections::ePhysInterp1DScaled, phys, phys1);

    double epsilon = 1.0e-8;
    // since solution is a polynomial should be able to compare soln directly
    for (int i = 0; i < nq1; ++i)
    {
        xc1[i]          = (fabs(xc1[i]) < 1e-14) ? 0.0 : xc1[i];
        yc1[i]          = (fabs(yc1[i]) < 1e-14) ? 0.0 : yc1[i];
        NekDouble exact = pow(xc1[i], 3) + pow(yc1[i], 3);
        phys1[i]        = (fabs(phys1[i]) < 1e-14) ? 0.0 : phys1[i];
        exact           = (fabs(exact) < 1e-14) ? 0.0 : exact;
        BOOST_CHECK_CLOSE(phys1[i], exact, epsilon);
    }
}

} // namespace Nektar::SegCollectionTests
