// ============================================================================
// ==                                                                        ==
// == AMDiS - Adaptive multidimensional simulations                          ==
// ==                                                                        ==
// ==  http://www.amdis-fem.org                                              ==
// ==                                                                        ==
// ============================================================================
//
// Software License for AMDiS
//
// Copyright (c) 2010 Dresden University of Technology 
// All rights reserved.
// Authors: Simon Vey, Thomas Witkowski et al.
//
// This file is part of AMDiS
//
// See also license.opensource.txt in the distribution.



/** \file SystemVector.h */

#ifndef AMDIS_SYSTEMVECTOR_H
#define AMDIS_SYSTEMVECTOR_H

#include "MatrixVector.h"
#include "DOFVector.h"
#include "CreatorInterface.h"
#include "Serializable.h"

namespace AMDiS {

  /// A system vector is a vector of dof vectors used for vector valued problems.
  class SystemVector : public Serializable
  {
  public:
    /// Constructor.
    SystemVector(std::string name_,
		 std::vector<const FiniteElemSpace*> feSpace_, 
		 int size)
      : name(name_),
	feSpace(feSpace_),
	vectors(size)      
    {}

    /// Copy Constructor.
    SystemVector(const SystemVector& rhs)
      : name(rhs.getName()),
	feSpace(rhs.getFeSpaces()),
	vectors(rhs.getNumVectors())
    {
      for (unsigned int i = 0; i < vectors.size(); i++)
	vectors[i] = new DOFVector<double>(*rhs.getDOFVector(i));
    }

    ~SystemVector() 
    {
      for (unsigned int i = 0; i < vectors.size(); i++)
	delete vectors[i];
    }

    /// Sets \ref vectors[index] = vec.
    inline void setDOFVector(int index, DOFVector<double> *vec) 
    {
      TEST_EXIT_DBG(index < static_cast<int>(vectors.size()))
	("Invalid index %d!\n", index);
      vectors[index] = vec;
    }

    /// Returns \ref vectors[index].
    inline DOFVector<double> *getDOFVector(int index) 
    {
      TEST_EXIT_DBG(index < static_cast<int>(vectors.size()))
	("Invalid index %d!\n", index);
      return vectors[index];
    }

    /// Returns \ref vectors[index].
    inline const DOFVector<double> *getDOFVector(int index) const 
    {
      TEST_EXIT_DBG(index < static_cast<int>(vectors.size()))
	("Invalid index %d!\n", index);
      return vectors[index];
    }

    inline std::string getName() const
    {
      return name;
    }

    /// Returns sum of used vector sizes.
    inline int getUsedSize() const 
    {
      int totalSize = 0;
      for (unsigned int i = 0; i < vectors.size(); i++)
	totalSize += vectors[i]->getUsedSize();
      return totalSize;
    }

    /// Returns number of contained vectors.
    inline int getNumVectors() const 
    { 
      return static_cast<int>(vectors.size());
    }

    inline int getSize() const 
    {
      return static_cast<int>(vectors.size());
    }

    /// Returns the fe space for a given component.
    inline const FiniteElemSpace *getFeSpace(int i) const 
    { 
      return feSpace[i]; 
    }

    /// Returns the fe spaces for all components.
    inline std::vector<const FiniteElemSpace*> getFeSpaces() const 
    {
      return feSpace;
    }

    /// Here the system vector is interpreted as one large vector. The given
    /// is used as a global index which indicates a local vector number and
    /// a local index on this vector. The operator returns this local vector
    /// at the local index.
    inline double& operator[](int index) 
    {
      int localIndex = index;
      int vectorIndex = 0;

      while (localIndex >= vectors[vectorIndex]->getUsedSize()) {
	localIndex -= vectors[vectorIndex++]->getUsedSize();
      }

      return (*(vectors[vectorIndex]))[localIndex];
    }

    /// For const access.
    inline double operator[](int index) const 
    {
      int localIndex = index;
      int vectorIndex = 0;

      while (localIndex >= vectors[vectorIndex]->getUsedSize()) {
	localIndex -= vectors[vectorIndex++]->getUsedSize();
      }

      return (*(vectors[vectorIndex]))[localIndex];
    }

    /// Sets all entries in all vectors to value.
    inline void set(double value) 
    {
      for (unsigned int i = 0; i < vectors.size(); i++)
	vectors[i]->set(value);
    }

    inline void setCoarsenOperation(CoarsenOperation op) 
    { 
      for (int i = 0; i < static_cast<int>(vectors.size()); i++)
	vectors[i]->setCoarsenOperation(op); 
    }

    /// Sets all entries in all vectors to value.
    inline SystemVector& operator=(double value) 
    {
      for (int i = 0; i < static_cast<int>(vectors.size()); i++)
	(*(vectors[i])) = value;
      return *this;
    }

    /// Assignement operator.
    inline SystemVector& operator=(const SystemVector& rhs) 
    {
      TEST_EXIT_DBG(rhs.vectors.size() == vectors.size())("Invalied sizes!\n");

      for (int i = 0; i < static_cast<int>(vectors.size()); i++)
	(*(vectors[i])) = (*(rhs.getDOFVector(i)));

      return *this;
    }

    void serialize(std::ostream &out);

    void deserialize(std::istream &in);

    void copy(const SystemVector& rhs) 
    {
      int size = static_cast<int>(vectors.size());
      TEST_EXIT_DBG(size == rhs.getNumVectors())("Invalid sizes!\n");
      for (int i = 0; i < size; i++)
	vectors[i]->copy(*(const_cast<SystemVector&>(rhs).getDOFVector(i)));
    }

    void interpol(std::vector<AbstractFunction<double, WorldVector<double> >*> *f) 
    {
      for (unsigned int i = 0; i < vectors.size(); i++)
	vectors[i]->interpol((*f)[i]);
    }

    void interpol(SystemVector *v, double factor) 
    {
      for (int i = 0; i < v->getSize(); i++)
	vectors[i]->interpol(v->getDOFVector(i), factor);
    }

    void print() 
    {
      for (unsigned int i = 0; i < vectors.size(); i++)
	vectors[i]->print();
    }

    int calcMemoryUsage() 
    {
      int result = 0;
      for (unsigned int i = 0; i < vectors.size(); i++)
	result += vectors[i]->calcMemoryUsage();
      result += sizeof(SystemVector);

      return result;
    }

      

  protected:
    /// Name of the system vector
    std::string name;

    /// Finite element space.
    std::vector<const FiniteElemSpace*> feSpace;

    /// Local dof vectors.
    std::vector<DOFVector<double>*> vectors;
  };


  /// multiplication with scalar
  inline const SystemVector& operator*=(SystemVector& x, double d) 
  {
    int size = x.getNumVectors();
    for (int i = 0; i < size; i++)
      *(x.getDOFVector(i)) *= d;
    return x;
  }

  /// scalar product
  inline double operator*(SystemVector& x, SystemVector& y) 
  {
    TEST_EXIT_DBG(x.getNumVectors() == y.getNumVectors())("invalid size\n");
    double result = 0.0;
    int size = x.getNumVectors();
    for (int i = 0; i < size; i++)
      result += (*x.getDOFVector(i)) * (*y.getDOFVector(i));
    return result;
  }

  /// addition of two system vectors
  inline const SystemVector& operator+=(SystemVector& x, const SystemVector& y) 
  {
    TEST_EXIT_DBG(x.getNumVectors() == y.getNumVectors())("invalid size\n");
    int size = x.getNumVectors();
    for (int i = 0; i < size; i++)
      (*(x.getDOFVector(i))) += (*(y.getDOFVector(i)));
    return x;
  }

  /// subtraction of two system vectors.
  inline const SystemVector& operator-=(SystemVector& x, SystemVector& y) 
  {
    TEST_EXIT_DBG(x.getNumVectors() == y.getNumVectors())("invalid size\n");
    int size = x.getNumVectors();
    for (int i = 0; i < size; i++)
      (*(x.getDOFVector(i))) -= (*(y.getDOFVector(i)));
    return x;
  }

  /// multiplication with a scalar
  inline SystemVector operator*(SystemVector& x, double d) 
  {
    SystemVector result = x;
    int size = x.getNumVectors();
    for (int i = 0; i < size; i++)
      (*(result.getDOFVector(i))) *= d;
    return result;
  }

  /// multiplication with a scalar
  inline SystemVector operator*(double d, SystemVector& x) 
  {
    SystemVector result = x;
    int size = x.getNumVectors();
    for (int i = 0; i < size; i++)
      (*(result.getDOFVector(i))) *= d;
    return result;
  }

  /// addition of two system vectors
  inline SystemVector operator+(const SystemVector& x, const SystemVector& y)
  {
    TEST_EXIT_DBG(x.getNumVectors() == y.getNumVectors())("invalid size\n");
    SystemVector result = x;
    int size = x.getNumVectors();
    for (int i = 0; i < size; i++)
      (*(result.getDOFVector(i))) += (*(y.getDOFVector(i)));
    return result;
  }

  /// Calls SystemVector::set(). Used for solving.
  inline void set(SystemVector& x, double value) 
  {
    x.set(value);
  } 

  /// Calls SystemVector::set(). Used for solving.
  inline void setValue(SystemVector& x, double value) 
  {
    x.set(value);
  }

  /// Norm of system vector.
  inline double norm(SystemVector* x) 
  {
    double result = 0.0;
    int size = x->getNumVectors();
    for (int i = 0; i < size; i++)
      result += x->getDOFVector(i)->squareNrm2();
    return sqrt(result);
  }

  /// L2 norm of system vector.
  inline double L2Norm(SystemVector* x) 
  {
    double result = 0.0;
    int size = x->getNumVectors();
    for (int i = 0; i < size; i++)
      result += x->getDOFVector(i)->L2NormSquare();
    return sqrt(result);
  }

  /// H1 norm of system vector.
  inline double H1Norm(SystemVector* x) 
  {
    double result = 0.0;
    int size = x->getNumVectors();
    for (int i = 0; i < size; i++)
      result += x->getDOFVector(i)->H1NormSquare();
    return sqrt(result);
  }

  inline void mv(Matrix<DOFMatrix*> &matrix,
		 const SystemVector &x,
		 SystemVector       &result,
		 bool               add = false)
  {
    FUNCNAME("mv()");

    int size = x.getNumVectors();
    int i;

    TEST_EXIT_DBG(size == result.getNumVectors())("incompatible sizes\n");
    TEST_EXIT_DBG(size == matrix.getNumRows())("incompatible sizes\n");
    TEST_EXIT_DBG(size == matrix.getNumCols())("incompatible sizes\n");

    for (i = 0; i < size; i++) {
      if (!add) 
	result.getDOFVector(i)->set(0.0);

      for (int j = 0; j < size; j++)
	if (matrix[i][j])
	  mv<double>(NoTranspose, 
		     *(matrix[i][j]), 
		     *(x.getDOFVector(j)), 
		     *(result.getDOFVector(i)),
		     true);
    }
  }

  /// y = a*x + y;
  inline void axpy(double a, SystemVector& x, SystemVector& y)
  {
    TEST_EXIT_DBG(x.getNumVectors() == y.getNumVectors())
          ("invalid size\n");

    int size = x.getNumVectors();
    int i;

    for (i = 0; i < size; i++)
      axpy(a, *(x.getDOFVector(i)), *(y.getDOFVector(i)));
  }

  /// y = x + a*y
  inline void xpay(double a, SystemVector& x, SystemVector& y)
  {
    TEST_EXIT_DBG(x.getNumVectors() == y.getNumVectors())
          ("invalid size\n");
    int size = x.getNumVectors();

    for (int i = 0; i < size; i++)
      xpay(a, *(x.getDOFVector(i)), *(y.getDOFVector(i)));
  }

  /// Returns SystemVector::getUsedSize().
  inline int size(SystemVector* vec) 
  {
    return vec->getUsedSize();
  }

  inline void print(SystemVector* vec) 
  {
    vec->print();
  }

}

#endif // AMDIS_SYSTEMVECTOR_H