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/******************************************************************************
 *
 * AMDiS - Adaptive multidimensional simulations
 *
 * Copyright (C) 2013 Dresden University of Technology. All Rights Reserved.
 * Web: https://fusionforge.zih.tu-dresden.de/projects/amdis
 *
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 * Authors:
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 * Simon Vey, Thomas Witkowski, Andreas Naumann, Simon Praetorius, et al.
 *
 * This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
 * WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
 *
 *
 * This file is part of AMDiS
 *
 * See also license.opensource.txt in the distribution.
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 *
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 ******************************************************************************/
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/** \file ProblemStat.h */
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#ifndef AMDIS_PROBLEM_STAT_H
#define AMDIS_PROBLEM_STAT_H
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#include <vector>
#include <list>
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#include <functional>
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#include "AMDiS_fwd.h"
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#include "ProblemStatBase.h"
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#include "Initfile.h"
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#include "Boundary.h"
#include "MatrixVector.h"
#include "StandardProblemIteration.h"
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#include "io/ElementFileWriter.h"
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#include "ComponentTraverseInfo.h"
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#include "AbstractFunction.h"
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#include "solver/SolverMatrix.h"
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#include "SystemVector.h"
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namespace AMDiS {

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  struct OperatorPos
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  {
    int row, col;
    double *factor, *estFactor;
  };

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  /**
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   * \ingroup Problem
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   *
   * \brief
   * This class defines the stationary problem definition in sequential
   * computations. For parallel computations, see \ref ParallelProblemStatBase.
   **/
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  class ProblemStatSeq : public ProblemStatBase
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  {
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  protected:
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    // Defines a mapping type from dof indices to world coordinates.
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    typedef std::map<DegreeOfFreedom, WorldVector<double> > DofToCoord;
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    // Defines a mapping type from dof indices to world coordinates.
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    typedef std::map<WorldVector<double>, DegreeOfFreedom> CoordToDof;
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  public:
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    /// Constructor
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    ProblemStatSeq(std::string nameStr,
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		   ProblemIterationInterface *problemIteration = NULL);
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    /// Destructor
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    virtual ~ProblemStatSeq();
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    /// Initialisation of the problem.
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    virtual void initialize(Flag initFlag,
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			    ProblemStatSeq *adoptProblem = NULL,
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			    Flag adoptFlag = INIT_NOTHING);

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    /// Used in \ref initialize().
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    virtual void createMesh();

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    /// Used in \ref initialize().
    virtual void createRefCoarseManager();

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    /// Used in \ref initialize().
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    virtual void createFeSpace(DOFAdmin *admin);
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    /// Used in \ref initialize().
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    virtual void createMatricesAndVectors();

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    /// Used in \ref initialize().
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    virtual void createSolver();

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    /// Used in \ref initialize().
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    virtual void createEstimator();

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    /// Used in \ref initialize().
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    virtual void createMarker();

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    /// Used in \ref initialize().
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    virtual void createFileWriter();

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    /// Used in \ref initialize(). This function is deprecated and should not
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    /// be used anymore. There is no guarantee that it will work in the future.
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    virtual void doOtherStuff();

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    /// Implementation of ProblemStatBase::solve(). Deligates the solving
    /// of problems system to \ref solver.
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    void solve(AdaptInfo *adaptInfo,
	       bool createMatrixData = true,
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	       bool storeMatrixData = false) override;
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    /// Implementation of ProblemStatBase::estimate(). Deligates the estimation
    /// to \ref estimator.
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    void estimate(AdaptInfo *adaptInfo) override;
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    /// Implementation of ProblemStatBase::markElements().
    /// Deligated to \ref adapt.
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    Flag markElements(AdaptInfo *adaptInfo) override;
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    /// Implementation of ProblemStatBase::refineMesh(). Deligated to the
    /// RefinementManager of \ref adapt.
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    Flag refineMesh(AdaptInfo *adaptInfo) override;
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    /// Implementation of ProblemStatBase::coarsenMesh(). Deligated to the
    /// CoarseningManager of \ref adapt.
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    Flag coarsenMesh(AdaptInfo *adaptInfo) override;
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    /// Implementation of ProblemStatBase::buildBeforeRefine().
    /// Does nothing here.
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    void buildBeforeRefine(AdaptInfo *adaptInfo, Flag) override {}
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    /// Implementation of ProblemStatBase::buildBeforeCoarsen().
    /// Does nothing here.
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    void buildBeforeCoarsen(AdaptInfo *adaptInfo, Flag) override {}
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    /// Implementation of ProblemStatBase::buildAfterCoarsen().
    /// Assembles \ref A and \ref rhs. With the last two parameters, assembling
    /// can be restricted to matrices or vectors only.
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    void buildAfterCoarsen(AdaptInfo *adaptInfo, Flag flag,
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				   bool assembleMatrix = true,
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				   bool assembleVector = true) override;
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    /// assemble all operators of matrix and vector side
    void assemble(AdaptInfo* adaptInfo)
    {
      buildAfterCoarsen(adaptInfo, 0, true, true);
    }
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    bool dualMeshTraverseRequired();

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    void dualAssemble(AdaptInfo *adaptInfo, Flag flag,
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		      bool asmMatrix = true, bool asmVector = true);
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    /// Returns nr of components \ref nComponents
    virtual int getNumComponents()
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    {
      return nComponents;
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    }
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    /// Returns nr of additional components \ref nAddComponents
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    virtual int getNumAddComponents()
    {
      return nAddComponents;
    }
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    /// Writes output files. TODO: Make obsolete.
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    void writeFiles(AdaptInfo *adaptInfo, bool force);

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    /// Writes output files.
    void writeFiles(AdaptInfo &adaptInfo, bool force);

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    /// Interpolates fct to \ref solution.
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    void interpolInitialSolution(std::vector<AbstractFunction<double, WorldVector<double> >*> *fct);
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    /// Adds an operator to \ref A.
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    void addMatrixOperator(Operator *op, int i, int j,
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			   double *factor = NULL, double *estFactor = NULL);
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    /// Adds an operator to \ref A.
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    void addMatrixOperator(Operator &op, int i, int j,
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			   double *factor = NULL, double *estFactor = NULL);
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    /// Adds an operator to \ref rhs.
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    void addVectorOperator(Operator *op, int i,
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			   double *factor = NULL, double *estFactor = NULL);
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    /// Adds an operator to \ref rhs.
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    void addVectorOperator(Operator &op, int i,
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			   double *factor = NULL, double *estFactor = NULL);
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    /// Adds a Dirichlet boundary condition, where the rhs is given by an
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    /// abstract function.
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    virtual void addDirichletBC(BoundaryType type, int row, int col,
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				AbstractFunction<double, WorldVector<double> > *b);
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#if AMDIS_HAS_CXX11
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    /// Adds a Dirichlet boundary condition, where the rhs is given by an
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    /// lambda function or a std::function object
    virtual void addDirichletBC(BoundaryType type, int row, int col,
				std::function<double(WorldVector<double>)> b);
#endif
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    /// Adds a Dirichlet boundary condition, where the rhs is given by a DOF
    /// vector.
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    virtual void addDirichletBC(BoundaryType type, int row, int col,
				DOFVector<double> *vec);

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    /// Adds a Neumann boundary condition, where the rhs is given by an
    /// abstract function.
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    virtual void addNeumannBC(BoundaryType type, int row, int col,
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			      AbstractFunction<double, WorldVector<double> > *n);

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    /// Adds a Neumann boundary condition, where the rhs is given by an DOF
    /// vector.
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    virtual void addNeumannBC(BoundaryType type, int row, int col,
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			      DOFVector<double> *n);

    /// Adds Robin boundary condition.
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    virtual void addRobinBC(BoundaryType type, int row, int col,
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			    AbstractFunction<double, WorldVector<double> > *n,
			    AbstractFunction<double, WorldVector<double> > *r);

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    /// Adds Robin boundary condition.
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    virtual void addRobinBC(BoundaryType type, int row, int col,
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			    DOFVector<double> *n,
			    DOFVector<double> *r);

    /// Adds Robin boundary condition.
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    virtual void addRobinBC(BoundaryType type, int row, int col,
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			    Operator *n,
			    Operator *r);

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    /// Adds a periodic boundary condition.
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    virtual void addPeriodicBC(BoundaryType type, int row, int col);

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    /// add boundary operator to matrix side
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    virtual void addBoundaryMatrixOperator(BoundaryType type,
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          Operator *op, int row, int col);

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    virtual void addBoundaryMatrixOperator(BoundaryType type,
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          Operator &op, int row, int col)
    {
      addBoundaryMatrixOperator(type, &op, row, col);
    }

    /// add boundary operator to rhs (vector) side
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    virtual void addBoundaryVectorOperator(BoundaryType type,
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          Operator *op, int row);

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    virtual void addBoundaryVectorOperator(BoundaryType type,
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          Operator &op, int row)
    {
      addBoundaryVectorOperator(type, &op, row);
    }

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    /// This function assembles a DOFMatrix and a DOFVector for the case,
    /// the meshes from row and col FE-space are equal.
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    void assembleOnOneMesh(const FiniteElemSpace *feSpace,
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			   Flag assembleFlag,
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			   DOFMatrix *matrix, DOFVector<double> *vector);

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    ///
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    void assembleBoundaryConditions(DOFVector<double> *rhs,
				    DOFVector<double> *solution,
				    Mesh *mesh,
				    Flag assembleFlag);
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    /** \name getting methods
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     * \{
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     */

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    /// Returns \ref solution.
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    inline SystemVector* getSolution()
    {
      return solution;
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    }
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    inline DOFVector<double>* getSolution(int i)
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    {
      return solution->getDOFVector(i);
    }

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    /// Returns \ref rhs.
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    inline SystemVector* getRhs()
    {
      return rhs;
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    }
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    inline DOFVector<double>* getRhsVector(int i = 0)
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    {
      return rhs->getDOFVector(i);
    }

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    /// Returns \ref systemMatrix.
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    inline Matrix<DOFMatrix*> *getSystemMatrix()
    {
      return systemMatrix;
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    }
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    /// Returns a pointer to the corresponding DOFMatrix.
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    inline DOFMatrix* getSystemMatrix(int row, int col)
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    {
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      return (*systemMatrix)[row][col];
    }

    /// Returns mesh of given component
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    inline Mesh* getMesh(int comp = 0)
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    {
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      FUNCNAME("ProblemStatSeq::getMesh()");
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      TEST_EXIT(comp < static_cast<int>(componentMeshes.size()) && comp >= 0)
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	("invalid component number\n");
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      return componentMeshes[comp];
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    }
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    /// Returns \ref meshes
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    inline std::vector<Mesh*> getMeshes()
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    {
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      return meshes;
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    }
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    /// Returns \ref feSpace_.
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    inline const FiniteElemSpace* getFeSpace(int comp = 0)
    {
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      FUNCNAME("ProblemStatSeq::getFeSpace()");
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      TEST_EXIT(comp < static_cast<int>(componentSpaces.size()) && comp >= 0)
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	("invalid component number: %d\n", comp);
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      return componentSpaces[comp];
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    }
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    /// Returns \ref feSpaces.
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    inline std::vector<const FiniteElemSpace*>& getFeSpaces()
    {
      return feSpaces;
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    }
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    /// Returns \ref componentSpaces;
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    inline std::vector<const FiniteElemSpace*>& getComponentSpaces()
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    {
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      return componentSpaces;
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    }

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    /// Returns \ref estimator.
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    inline std::vector<Estimator*> getEstimators()
    {
      return estimator;
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    }
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    /// Returns \ref estimator.
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    inline Estimator* getEstimator(int comp = 0)
    {
      return estimator[comp];
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    }
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    /// Returns \ref refinementManager.
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    inline RefinementManager* getRefinementManager(int comp = 0)
    {
      return refinementManager;
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    }
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    /// Returns \ref refinementManager.
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    inline CoarseningManager* getCoarseningManager(int comp = 0)
    {
      return coarseningManager;
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    }
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    /// Returns \ref solver.
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    inline LinearSolverInterface* getSolver()
    {
      return solver;
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    }
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    /// Returns \ref marker.
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    inline Marker *getMarker(int comp = 0)
    {
      return marker[comp];
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    }
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    /// Returns \ref marker.
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    inline std::vector<Marker*> getMarkers()
    {
      return marker;
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    }
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    /// Returns the name of the problem
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    inline std::string getName() override
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    {
      return name;
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    }
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    /// Returns the name of the problem
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    inline std::string getComponentName(int comp = 0)
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    {
      TEST_EXIT(comp < static_cast<int>(componentNames.size()) && comp >= 0)
	("invalid component number\n");
      return componentNames[comp];
    }

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    /// Returns \ref useGetBound.
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    inline bool getBoundUsed()
    {
      return useGetBound;
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    }
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    /// Returns \ref info.
    int getInfo()
    {
      return info;
    }

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    /// Returns \ref deserialized;
    bool isDeserialized()
    {
      return deserialized;
    }

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    /** \} */

    /** \name setting methods
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     * \{
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     */

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    /// Sets \ref estimator.
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    inline void setEstimator(std::vector<Estimator*> est)
    {
      estimator = est;
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    }
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    /// Sets the FE space for the given component.
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    inline void setFeSpace(const FiniteElemSpace *feSpace, int comp = 0)
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    {
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      feSpaces[comp] = feSpace;
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    }
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    void setFeSpaces(std::vector<FiniteElemSpace const*> feSpaces_)
    {
      feSpaces = feSpaces_;
    }

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    void setComponentSpace(int comp, const FiniteElemSpace *feSpace)
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    {
      if (static_cast<int>(componentSpaces.size()) < nComponents)
        componentSpaces.resize(nComponents);
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      TEST_EXIT(comp >= 0 && comp < nComponents + nAddComponents)
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        ("Component number not in feasable range!");

      componentSpaces[comp] = feSpace;
    }
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    /// Sets \ref estimator.
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    inline void setEstimator(Estimator* est, int comp = 0)
    {
      estimator[comp] = est;
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    }
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    /// Sets \ref marker.
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    inline void setMarker(Marker* mark, int comp = 0)
    {
      marker[comp] = mark;
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    }
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    /// Sets \ref solver.
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    inline void setSolver(LinearSolverInterface* sol)
    {
      solver = sol;
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    }
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    void setSolverMatrix(SolverMatrix<Matrix<DOFMatrix*> >& solverMatrix_)
    {
      solverMatrix.setMatrix(*solverMatrix_.getOriginalMat());
    }

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    ///
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    inline void setAssembleMatrixOnlyOnce(int i = 0, int j = 0, bool value = true)
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    {
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      assembleMatrixOnlyOnce[i][j] = value;
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    }

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    ///
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    void setExactSolutionFct(AbstractFunction<double, WorldVector<double> > *fct,
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			     int component)
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    {
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      exactSolutionFcts[component] = fct;
    }

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    ///
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    AbstractFunction<double, WorldVector<double> > *getExactSolutionFct(int i = 0)
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    {
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      return exactSolutionFcts[i];
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    }

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    ///
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    std::vector< AbstractFunction<double, WorldVector<double> >* > getExactSolutionFcts()
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    {
      return exactSolutionFcts;
    }

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    ///
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    void setComputeExactError(bool v)
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    {
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      computeExactError = v;
    }

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    /// Sets \ref writeAsmInfo;
    void setWriteAsmInfo(bool b)
    {
      writeAsmInfo = b;
    }

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    void setMeshes(std::vector<Mesh*> meshes_)
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    {
      meshes = meshes_;
      nMeshes = static_cast<int>(meshes.size());
    }

    void setComponentMesh(int comp, Mesh* mesh)
    {
      if (static_cast<int>(componentMeshes.size()) < nComponents)
        componentMeshes.resize(nComponents);
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      TEST_EXIT(comp >= 0 && comp < nComponents + nAddComponents)
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        ("Component number not in feasable range!");

      componentMeshes[comp] = mesh;
    }

    void setRefinementManager(RefinementManager *ref)
    {
      refinementManager = ref;
    }

    void setCoarseningManager(CoarseningManager *coarse)
    {
      coarseningManager = coarse;
    }
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    /** \} */

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    /// Outputs the mesh of the given component, but the values are taken from
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    /// the residual error estimator.
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    void writeResidualMesh(int comp, AdaptInfo *adaptInfo, std::string name);
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    /// Function that implements the serialization procedure.
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    void serialize(std::ostream &out) override;
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    /// Function that implements the deserialization procedure.
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    void deserialize(std::istream &in) override;
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    /// Returns \ref fileWriters.
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    std::vector<FileWriterInterface*>& getFileWriterList()
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    {
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      return fileWriters;
    }
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    /// Returns \ref solutionTime.
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    double getSolutionTime()
    {
      return solutionTime;
    }
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    /// Returns \ref buildTime.
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    double getBuildTime()
    {
      return buildTime;
    }
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  protected:
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    /// If the exact solution is known, the problem can compute the exact
    /// error instead of the error estimation. This is done in this function.
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    void computeError(AdaptInfo *adaptInfo);

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  protected:
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    /// Name of this problem.
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    std::string name;
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    /// Number of problem components
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    int nComponents;
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    /// Number of additional components
    int nAddComponents;
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    /// Stores the names for all components. Is used for naming the solution
    /// vectors, \ref solution.
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    std::vector<std::string> componentNames;
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    /// Number of problem meshes. If all components are defined on the same mesh,
    /// this number is 1. Otherwise, this variable is the number of different meshes
    /// within the problem.
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    int nMeshes;

    /// FE spaces of this problem.
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    std::vector<const FiniteElemSpace*> feSpaces;
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    /// Meshes of this problem.
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    std::vector<Mesh*> meshes;
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    /// Pointer to the fe spaces for the different problem components
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    std::vector<const FiniteElemSpace*> componentSpaces;
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    /// Pointer to the meshes for the different problem components
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    std::vector<Mesh*> componentMeshes;
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    /// Stores information about which meshes must be traversed to assemble the
    /// specific components. I.e., it was implemented to make use of different
    /// meshes for different components.
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    ComponentTraverseInfo traverseInfo;
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    /// Responsible for element marking.
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    std::vector<Marker*> marker;
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    /// Estimator of this problem. Used in \ref estimate().
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    std::vector<Estimator*> estimator;
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    /// Linear solver of this problem. Used in \ref solve().
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    LinearSolverInterface *solver;
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    /// System vector  storing the calculated solution of the problem.
    SystemVector *solution;
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    /// System vector for the right hand side
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    SystemVector *rhs;
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    /// System matrix
    Matrix<DOFMatrix*> *systemMatrix;
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    /// Composed system matrix
    SolverMatrix<Matrix<DOFMatrix*> > solverMatrix;

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    /// Some DOFMatrices of the systemMatrix may be assembled only once (for
    /// example if they are independent of the time or older solutions). If
    /// [i][j] of this field is set to true, the corresponding DOFMatrix will
    /// be assembled only once. All other matrices will be assembled at every
    /// time step.
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    std::vector<std::vector<bool> > assembleMatrixOnlyOnce;
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    /// If [i][j] of this field is set to true, the corresponding DOFMatrix of
    /// the systemMatrix has been assembled at least once. This field is used
    /// to determine, if assembling of a matrix can be ommitted, if it is set
    /// to be assembled only once.
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    std::vector<std::vector<bool> > assembledMatrix;
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    /// Determines whether domain boundaries should be considered at assembling.
    bool useGetBound;
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    /// Writes the meshes and solution after the adaption loop.
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    std::vector<FileWriterInterface*> fileWriters;
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    /// All actions of mesh refinement are performed by refinementManager.
    /// If new refinement algorithms should be realized, one has to override
    /// RefinementManager and give one instance of it to AdaptStationary.
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    RefinementManager *refinementManager;
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    /// All actions of mesh coarsening are performed by coarseningManager.
    /// If new coarsening algorithms should be realized, one has to override
    /// CoarseningManager and give one instance of it to AdaptStationary.
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    CoarseningManager *coarseningManager;
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    /// Info level.
    int info;
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    /// If true, the stationary problem was deserialized from some serialization
    /// file.
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    bool deserialized;

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    /// This vectors stores pointers to functions defining the exact solution of
    /// the problem. This may be used to compute the real error of the computed
    /// solution.
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    std::vector<AbstractFunction<double, WorldVector<double> >*> exactSolutionFcts;
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    /// If true, the error is not estimated but computed from the exact solution
    /// defined by \ref exactSolutionFcts.
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    bool computeExactError;
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    /// If at least on boundary condition is set, this variable is true. It is
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    /// used to ensure that no operators are added after boundary condition were
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    /// set. If this would happen, boundary conditions could set wrong on off
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    /// diagonal matrices.
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    bool boundaryConditionSet;
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    /// If true, AMDiS prints information about the assembling procedure to
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    /// the screen.
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    bool writeAsmInfo;
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    std::map<Operator*, std::vector<OperatorPos> > operators;
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    /// time needed to solve the linear system
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    double solutionTime;
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    /// time needed to assemble the linear system
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    double buildTime;
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    template <class> friend class detail::CouplingProblemStat;
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  };
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  namespace detail
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  {
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    template <class ProblemStatType>
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    struct ProblemStat : public ProblemStatType,
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			 public StandardProblemIteration
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    {
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      using ProblemStatType::getName;
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      using ProblemStatType::info;
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      /// Constructor
      ProblemStat(std::string nameStr,
		  ProblemIterationInterface *problemIteration = NULL)
	: ProblemStatType(nameStr, problemIteration),
	  StandardProblemIteration(this)
      { }

      /// Returns number of managed problems
      // implements StandardProblemIteration::getNumProblems()
      virtual int getNumProblems() override
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      {
	return 1;
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      }

      /// Returns the problem with the given number. If only one problem
      /// is managed by this master problem, the number hasn't to be given.
      // implements StandardProblemIteration::getProblem(int)
      virtual ProblemStatBase *getProblem(int number = 0) override
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      {
	return this;
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      }

      /// Determines the execution order of the single adaption steps. If adapt is
      /// true, mesh adaption will be performed. This allows to avoid mesh adaption,
      /// e.g. in timestep adaption loops of timestep adaptive strategies.
      // implements StandardProblemIteration::oneIteration(AdaptInfo*, Flag)
      virtual Flag oneIteration(AdaptInfo *adaptInfo, Flag toDo = FULL_ITERATION) override
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      {
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	for (int i = 0; i < ProblemStatType::getNumComponents(); i++)
	  if (adaptInfo->spaceToleranceReached(i))
	    adaptInfo->allowRefinement(false, i);
	  else
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	    adaptInfo->allowRefinement(true, i);