
#include <cstdio>
#include <cstdlib>

#include <LibUtilities/Memory/NekMemoryManager.hpp>
#include <LibUtilities/BasicUtils/SessionReader.h>
#include <LibUtilities/Communication/Comm.h>
#include <MultiRegions/DisContField3DHomogeneous1D.h>
#include <SpatialDomains/MeshGraph.h>

//#define TIMING
#ifdef TIMING
#include <time.h>
#define Timing(s) \
 fprintf(stdout,"%s Took %g seconds\n",s,(clock()-st)/(double)CLOCKS_PER_SEC); \
 st = clock();
#else
#define Timing(s) \
 /* Nothing */
#endif

using namespace std;
using namespace Nektar;

int main(int argc, char *argv[])
{
    LibUtilities::SessionReaderSharedPtr vSession
            = LibUtilities::SessionReader::CreateInstance(argc, argv);

    LibUtilities::CommSharedPtr vComm = vSession->GetComm();
    string meshfile(argv[1]);

    MultiRegions::DisContField3DHomogeneous1DSharedPtr Exp,Fce;
    MultiRegions::ExpListSharedPtr DerExp1,DerExp2,DerExp3;
    int i, nq;
    Array<OneD,NekDouble>  fce;
    Array<OneD,NekDouble>  xc0,xc1,xc2;
    StdRegions::ConstFactorMap factors;
    NekDouble lz;

    if(argc != 2)
    {
        fprintf(stderr,"Usage: Helmholtz2D  meshfile\n");
        exit(1);
    }

    LibUtilities::FieldIOSharedPtr fld = LibUtilities::FieldIO::CreateDefault(vSession);

    //----------------------------------------------
    // Read in mesh from input file
    SpatialDomains::MeshGraphSharedPtr graph2D = SpatialDomains::MeshGraph::Read(vSession);
    //----------------------------------------------

    //----------------------------------------------
    // Define Expansion
	int nplanes      = vSession->GetParameter("HomModesZ");
    lz     = vSession->GetParameter("LZ");
	bool useFFT = false;
	bool deal = false;
    const LibUtilities::PointsKey Pkey(nplanes,LibUtilities::eFourierEvenlySpaced);
    const LibUtilities::BasisKey Bkey(LibUtilities::eFourier,nplanes,Pkey);
    Exp = MemoryManager<MultiRegions::DisContField3DHomogeneous1D>::
        AllocateSharedPtr(vSession,Bkey,lz,useFFT,deal,graph2D,vSession->GetVariable(0));
    //----------------------------------------------
    Timing("Read files and define exp ..");



    //----------------------------------------------
    // Print summary of solution details
    factors[StdRegions::eFactorLambda]  = vSession->GetParameter("Lambda");
    factors[StdRegions::eFactorTau] = 1.0;

    const SpatialDomains::ExpansionInfoMap &expansions = graph2D->GetExpansionInfo();
    LibUtilities::BasisKey bkey0 
                            = expansions.begin()->second->m_basisKeyVector[0];
    cout << "Solving 3D Helmholtz (Homogeneous in z-direction):"  << endl;
    cout << "         Lambda         : " << factors[StdRegions::eFactorLambda] << endl;
    cout << "         Lz             : " << lz << endl;
    cout << "         No. modes      : " << bkey0.GetNumModes() << endl;
    cout << "         No. hom. modes : " << Bkey.GetNumModes() << endl;
    cout << endl;
    //----------------------------------------------

    //----------------------------------------------
    // Set up coordinates of mesh for Forcing function evaluation
    nq  = Exp->GetTotPoints();
    xc0 = Array<OneD,NekDouble>(nq,0.0);
    xc1 = Array<OneD,NekDouble>(nq,0.0);
    xc2 = Array<OneD,NekDouble>(nq,0.0);

    Exp->GetCoords(xc0,xc1,xc2);
    //----------------------------------------------

    //----------------------------------------------
    // Define forcing function for first variable defined in file
    fce = Array<OneD,NekDouble>(nq);
    LibUtilities::EquationSharedPtr ffunc
                                    = vSession->GetFunction("Forcing", 0);

    ffunc->Evaluate(xc0, xc1, xc2, fce);

    //----------------------------------------------


    //----------------------------------------------
    // Setup expansion containing the  forcing function
    Fce = MemoryManager<MultiRegions::DisContField3DHomogeneous1D>::AllocateSharedPtr(*Exp);
    Fce->SetPhys(fce);
    //----------------------------------------------
    Timing("Define forcing ..");

    //----------------------------------------------
    // Helmholtz solution taking physical forcing
    Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), factors);
    //----------------------------------------------

    Timing("Helmholtz Solve ..");

#ifdef TIMING
    for(i = 0; i < 100; ++i)
    {
        Exp->HelmSolve(Fce->GetPhys(), Exp->UpdateCoeffs(), NullFlagList, factors);
    }

    Timing("100 Helmholtz Solves:... ");
#endif

    //-----------------------------------------------
    // Backward Transform Solution to get solved values at
    Exp->BwdTrans(Exp->GetCoeffs(), Exp->UpdatePhys());
    //-----------------------------------------------
    Timing("Backard Transform ..");

    //-----------------------------------------------
    // Write solution to file
    string   out = meshfile.substr(0, meshfile.find_last_of(".")) + ".fld";
    std::vector<LibUtilities::FieldDefinitionsSharedPtr> FieldDef
                                                = Exp->GetFieldDefinitions();
    std::vector<std::vector<NekDouble> > FieldData(FieldDef.size());

    for(i = 0; i < FieldDef.size(); ++i)
    {
        FieldDef[i]->m_fields.push_back("u");
        Exp->AppendFieldData(FieldDef[i], FieldData[i]);
    }
    fld->Write(out, FieldDef, FieldData);

    //-----------------------------------------------

    //-----------------------------------------------
    // See if there is an exact solution, if so
    // evaluate and plot errors
    LibUtilities::EquationSharedPtr ex_sol =
                                vSession->GetFunction("ExactSolution", 0);

    if(ex_sol)
    {
        //----------------------------------------------
        // evaluate exact solution

        ex_sol->Evaluate(xc0, xc1, xc2, fce);

        //----------------------------------------------

        //--------------------------------------------
        // Calculate error
        Fce->SetPhys(fce);
        Fce->SetPhysState(true);

        cout << "L infinity error:  " << Exp->Linf(Exp->GetPhys(), Fce->GetPhys()) << endl;
        cout << "L 2 error  :       " << Exp->L2  (Exp->GetPhys(), Fce->GetPhys()) << endl;
        //--------------------------------------------
    }

    Timing("Output ..");
    //----------------------------------------------
    return 0;
}

