matrix_sparse/Matrix_ArrayComplexSparse.cxx

// Copyright (C) 2003-2009 Marc Duruflé
// Copyright (C) 2001-2009 Vivien Mallet
//
// This file is part of the linear-algebra library Seldon,
// http://seldon.sourceforge.net/.
//
// Seldon is free software; you can redistribute it and/or modify it under the
// terms of the GNU Lesser General Public License as published by the Free
// Software Foundation; either version 2.1 of the License, or (at your option)
// any later version.
//
// Seldon is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
// more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with Seldon. If not, see http://www.gnu.org/licenses/.


#ifndef SELDON_FILE_MATRIX_ARRAY_COMPLEX_SPARSE_CXX

#include "Matrix_ArrayComplexSparse.hxx"

namespace Seldon
{


  /****************
   * CONSTRUCTORS *
   ****************/



  template <class T, class Prop, class Storage, class Allocator>
  inline Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  Matrix_ArrayComplexSparse()
    : val_real_(), val_imag_()
  {
    this->m_ = 0;
    this->n_ = 0;
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  Matrix_ArrayComplexSparse(int i, int j):
    val_real_(Storage::GetFirst(i, j)), val_imag_(Storage::GetFirst(i, j))
  {
    this->m_ = i;
    this->n_ = j;
  }


  /**************
   * DESTRUCTOR *
   **************/


  template <class T, class Prop, class Storage, class Allocator>
  inline Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  ~Matrix_ArrayComplexSparse()
  {
    Clear();
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::Clear()
  {
    this->m_ = 0;
    this->n_ = 0;
    val_real_.Clear();
    val_imag_.Clear();
  }


  /*********************
   * MEMORY MANAGEMENT *
   *********************/



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  Reallocate(int i, int j)
  {
    // Clears previous entries.
    Clear();

    this->m_ = i;
    this->n_ = j;

    int n = Storage::GetFirst(i,j);
    val_real_.Reallocate(n);
    val_imag_.Reallocate(n);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  Resize(int i, int j)
  {
    int n = Storage::GetFirst(this->m_, n_);
    int new_n = Storage::GetFirst(i, j);
    if (n != new_n)
      {
        Vector<Vector<T, VectSparse, Allocator>, VectFull,
          NewAlloc<Vector<T, VectSparse, Allocator> > > new_val_real;

        Vector<Vector<T, VectSparse, Allocator>, VectFull,
          NewAlloc<Vector<T, VectSparse, Allocator> > > new_val_imag;

        new_val_real.Reallocate(new_n);
        new_val_imag.Reallocate(new_n);

        for (int k = 0 ; k < min(n, new_n) ; k++)
          {
            Swap(new_val_real(k), this->val_real_(k));
            Swap(new_val_imag(k), this->val_imag_(k));
          }

        val_real_.SetData(new_n, new_val_real.GetData());
        val_imag_.SetData(new_n, new_val_imag.GetData());
        new_val_real.Nullify();
        new_val_imag.Nullify();

      }

    this->m_ = i;
    this->n_ = j;
  }


  /*******************
   * BASIC FUNCTIONS *
   *******************/



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::GetM() const
  {
    return m_;
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::GetN() const
  {
    return n_;
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::GetM(const SeldonTranspose& status) const
  {
    if (status.NoTrans())
      return m_;
    else
      return n_;
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::GetN(const SeldonTranspose& status) const
  {
    if (status.NoTrans())
      return n_;
    else
      return m_;
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  GetRealNonZeros() const
  {
    int nnz = 0;
    for (int i = 0; i < this->val_real_.GetM(); i++)
      nnz += this->val_real_(i).GetM();

    return nnz;
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  GetImagNonZeros() const
  {
    int nnz = 0;
    for (int i = 0; i < this->val_imag_.GetM(); i++)
      nnz += this->val_imag_(i).GetM();

    return nnz;
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  GetRealDataSize() const
  {
    return GetRealNonZeros();
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  GetImagDataSize() const
  {
    return GetImagNonZeros();
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  GetDataSize() const
  {
    return (GetRealNonZeros()+GetImagNonZeros());
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int* Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  GetRealInd(int i) const
  {
    return val_real_(i).GetIndex();
  }



  template <class T, class Prop, class Storage, class Allocator> inline T*
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::GetRealData(int i)
    const
  {
    return val_real_(i).GetData();
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int* Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  GetImagInd(int i) const
  {
    return val_imag_(i).GetIndex();
  }



  template <class T, class Prop, class Storage, class Allocator> inline T*
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::GetImagData(int i)
    const
  {
    return val_imag_(i).GetData();
  }


  /**********************************
   * ELEMENT ACCESS AND AFFECTATION *
   **********************************/



  template <class T, class Prop, class Storage, class Allocator>
  inline complex<T>
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::operator()
    (int i, int j) const
  {

#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::operator()", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");

    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::operator()", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    return complex<T>(this->val_real_(Storage::GetFirst(i, j))
                      (Storage::GetSecond(i, j)),
                      this->val_imag_(Storage::GetFirst(i, j))
                      (Storage::GetSecond(i, j)) );
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline complex<T>&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::Val(int i, int j)
  {
    throw Undefined("Matrix_ArrayComplexSparse::Val(int i, int j)");
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline const complex<T>&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::Val(int i, int j) const
  {
    throw Undefined("Matrix_ArrayComplexSparse::Val(int i, int j)");
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline complex<T>&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::Get(int i, int j)
  {
    throw Undefined("Matrix_ArrayComplexSparse::Get(int i, int j)");
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline const complex<T>&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::Get(int i, int j) const
  {
    throw Undefined("Matrix_ArrayComplexSparse::Get(int i, int j)");
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline T&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::ValReal(int i, int j)
  {
    return val_real_(Storage::GetFirst(i, j)).Val(Storage::GetSecond(i, j));
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline const T&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::ValReal(int i, int j) const
  {
    return val_real_(Storage::GetFirst(i, j)).Val(Storage::GetSecond(i, j));
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline T&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::ValImag(int i, int j)
  {
    return val_imag_(Storage::GetFirst(i, j)).Val(Storage::GetSecond(i, j));
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline const T&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::ValImag(int i, int j) const
  {
    return val_imag_(Storage::GetFirst(i, j)).Val(Storage::GetSecond(i, j));
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline T&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::GetReal(int i, int j)
  {
    return val_real_(Storage::GetFirst(i, j)).Get(Storage::GetSecond(i, j));
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline const T&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::GetReal(int i, int j) const
  {
    return val_real_(Storage::GetFirst(i, j)).Get(Storage::GetSecond(i, j));
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline T&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::GetImag(int i, int j)
  {
    return val_imag_(Storage::GetFirst(i, j)).Get(Storage::GetSecond(i, j));
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline const T&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::GetImag(int i, int j) const
  {
    return val_imag_(Storage::GetFirst(i, j)).Get(Storage::GetSecond(i, j));
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::Set(int i, int j, const complex<T>& x)
  {
    if (real(x) != T(0))
      val_real_(Storage::GetFirst(i, j)).Get(Storage::GetSecond(i, j)) = real(x);
    else
      {
        if (val_real_(Storage::GetFirst(i, j))(Storage::GetSecond(i, j)) != T(0))
          val_real_(Storage::GetFirst(i, j)).Get(Storage::GetSecond(i, j)) = T(0);
      }

    if (imag(x) != T(0))
      val_imag_(Storage::GetFirst(i, j)).Get(Storage::GetSecond(i, j)) = imag(x);
    else
      {
        if (val_imag_(Storage::GetFirst(i, j))(Storage::GetSecond(i, j)) != T(0))
          val_imag_(Storage::GetFirst(i, j)).Get(Storage::GetSecond(i, j)) = T(0);
      }

  }



  template <class T, class Prop, class Storage, class Allocator>
  inline const T& Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  ValueReal(int i, int j) const
  {

#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= Storage::GetFirst(this->m_, this->n_))
      throw WrongRow("Matrix_ArraySparse::value", "Index should be in [0, "
                     + to_str(Storage::GetFirst(this->m_, this->n_)-1)
                     + "], but is equal to " + to_str(i) + ".");

    if (j < 0 || j >= this->val_real_(i).GetM())
      throw WrongCol("Matrix_ArraySparse::value", "Index should be in [0, " +
                     to_str(this->val_real_(i).GetM()-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    return val_real_(i).Value(j);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline T&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  ValueReal(int i, int j)
  {

#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= Storage::GetFirst(this->m_, this->n_))
      throw WrongRow("Matrix_ArraySparse::value", "Index should be in [0, "
                     + to_str(Storage::GetFirst(this->m_, this->n_)-1)
                     + "], but is equal to " + to_str(i) + ".");
    if (j < 0 || j >= this->val_real_(i).GetM())
      throw WrongCol("Matrix_ArraySparse::value", "Index should be in [0, " +
                     to_str(this->val_real_(i).GetM()-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    return val_real_(i).Value(j);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  IndexReal(int i, int j) const
  {

#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= Storage::GetFirst(this->m_, this->n_))
      throw WrongRow("Matrix_ArraySparse::index", "Index should be in [0, "
                     + to_str(Storage::GetFirst(this->m_, this->n_)-1)
                     + "], but is equal to " + to_str(i) + ".");

    if (j < 0 || j >= this->val_real_(i).GetM())
      throw WrongCol("Matrix_ArraySparse::index", "Index should be in [0, " +
                     to_str(this->val_real_(i).GetM()-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    return val_real_(i).Index(j);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int& Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  IndexReal(int i, int j)
  {

#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= Storage::GetFirst(this->m_, this->n_))
      throw WrongRow("Matrix_ArraySparse::index", "Index should be in [0, "
                     + to_str(Storage::GetFirst(this->m_, this->n_)-1)
                     + "], but is equal to " + to_str(i) + ".");

    if (j < 0 || j >= this->val_real_(i).GetM())
      throw WrongCol("Matrix_ArraySparse::index", "Index should be in [0, "
                     + to_str(this->val_real_(i).GetM()-1)
                     + "], but is equal to " + to_str(j) + ".");
#endif

    return val_real_(i).Index(j);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline const T& Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  ValueImag(int i, int j) const
  {

#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= Storage::GetFirst(this->m_, this->n_))
      throw WrongRow("Matrix_ArraySparse::value", "Index should be in [0, "
                     + to_str(Storage::GetFirst(this->m_, this->n_)-1)
                     + "], but is equal to " + to_str(i) + ".");

    if (j < 0 || j >= this->val_imag_(i).GetM())
      throw WrongCol("Matrix_ArraySparse::value", "Index should be in [0, " +
                     to_str(this->val_imag_(i).GetM()-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    return val_imag_(i).Value(j);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline T& Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  ValueImag (int i, int j)
  {

#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= Storage::GetFirst(this->m_, this->n_))
      throw WrongRow("Matrix_ArraySparse::value", "Index should be in [0, "
                     + to_str(Storage::GetFirst(this->m_, this->n_)-1)
                     + "], but is equal to " + to_str(i) + ".");

    if (j < 0 || j >= this->val_imag_(i).GetM())
      throw WrongCol("Matrix_ArraySparse::value", "Index should be in [0, " +
                     to_str(this->val_imag_(i).GetM()-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    return val_imag_(i).Value(j);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  IndexImag(int i, int j) const
  {

#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= Storage::GetFirst(this->m_, this->n_))
      throw WrongRow("Matrix_ArraySparse::index", "Index should be in [0, "
                     + to_str(Storage::GetFirst(this->m_, this->n_)-1)
                     + "], but is equal to " + to_str(i) + ".");

    if (j < 0 || j >= this->val_imag_(i).GetM())
      throw WrongCol("Matrix_ArraySparse::index", "Index should be in [0, " +
                     to_str(this->val_imag_(i).GetM()-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    return val_imag_(i).Index(j);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline int& Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  IndexImag(int i, int j)
  {

#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= Storage::GetFirst(this->m_, this->n_))
      throw WrongRow("Matrix_ArrayComplexSparse::index",
                     "Index should be in [0, "
                     + to_str(Storage::GetFirst(this->m_, this->n_)-1)
                     + "], but is equal to " + to_str(i) + ".");

    if (j < 0 || j >= this->val_imag_(i).GetM())
      throw WrongCol("Matrix_ArraySparse::index", "Index should be in [0, " +
                     to_str(this->val_imag_(i).GetM()-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    return val_imag_(i).Index(j);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  SetRealData(int i, int n, T* val, int* ind)
  {
    val_real_(i).SetData(n, val, ind);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  SetImagData(int i, int n, T* val, int* ind)
  {
    val_imag_(i).SetData(n, val, ind);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::NullifyReal(int i)
  {
    val_real_(i).Nullify();
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::NullifyImag(int i)
  {
    val_imag_(i).Nullify();
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  SetRealData(int m, int n, Vector<T, VectSparse, Allocator>* val)
  {
    m_ = m;
    n_ = n;
    val_real_.SetData(Storage::GetFirst(m, n), val);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  SetImagData(int m, int n, Vector<T, VectSparse, Allocator>* val)
  {
    m_ = m;
    n_ = n;
    val_imag_.SetData(Storage::GetFirst(m, n), val);
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::NullifyReal()
  {
    m_ = 0;
    n_ = 0;
    val_real_.Nullify();
  }



  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::NullifyImag()
  {
    m_ = 0;
    n_ = 0;
    val_imag_.Nullify();
  }


  /************************
   * CONVENIENT FUNCTIONS *
   ************************/



  template <class T, class Prop, class Storage, class Allocator>
  void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::Print() const
  {
    if (Storage::GetFirst(1, 0) == 1)
      for (int i = 0; i < this->m_; i++)
        {
          for (int j = 0; j < this->val_real_(i).GetM(); j++)
            cout << (i+1) << " " << this->val_real_(i).Index(j)+1
                 << " " << this->val_real_(i).Value(j) << endl;

          for (int j = 0; j < this->val_imag_(i).GetM(); j++)
            cout << (i+1) << " " << this->val_imag_(i).Index(j)+1
                 << " (0, " << this->val_imag_(i).Value(j) << ")"<<endl;
        }
    else
      for (int i = 0; i < this->n_; i++)
        {
          for (int j = 0; j < this->val_real_(i).GetM(); j++)
            cout << this->val_real_(i).Index(j)+1 << " " << i+1
                 << " " << this->val_real_(i).Value(j) << endl;

          for (int j = 0; j < this->val_imag_(i).GetM(); j++)
            cout << this->val_imag_(i).Index(j)+1 << " " << i+1
                 << " (0, " << this->val_imag_(i).Value(j) << ")"<<endl;
        }
  }



  template <class T, class Prop, class Storage, class Allocator>
  void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::Write(string FileName) const
  {
    ofstream FileStream;
    FileStream.open(FileName.c_str());

#ifdef SELDON_CHECK_IO
    // Checks if the file was opened.
    if (!FileStream.is_open())
      throw IOError("Matrix_ArrayComplexSparse::Write(string FileName)",
                    string("Unable to open file \"") + FileName + "\".");
#endif

    this->Write(FileStream);

    FileStream.close();
  }



  template <class T, class Prop, class Storage, class Allocator>
  void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::Write(ostream& FileStream) const
  {

#ifdef SELDON_CHECK_IO
    // Checks if the stream is ready.
    if (!FileStream.good())
      throw IOError("Matrix_ArrayComplexSparse::Write(ofstream& FileStream)",
                    "Stream is not ready.");
#endif

    FileStream.write(reinterpret_cast<char*>(const_cast<int*>(&this->m_)),
                     sizeof(int));

    FileStream.write(reinterpret_cast<char*>(const_cast<int*>(&this->n_)),
                     sizeof(int));

    for (int i = 0; i < val_real_.GetM(); i++)
      {
        val_real_(i).Write(FileStream);
        val_imag_(i).Write(FileStream);
      }
  }



  template <class T, class Prop, class Storage, class Allocator>
  void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::WriteText(string FileName) const
  {
    ofstream FileStream; FileStream.precision(14);
    FileStream.open(FileName.c_str());

#ifdef SELDON_CHECK_IO
    // Checks if the file was opened.
    if (!FileStream.is_open())
      throw IOError("Matrix_ArrayComplexSparse::WriteText(string FileName)",
                    string("Unable to open file \"") + FileName + "\".");
#endif

    this->WriteText(FileStream);

    FileStream.close();
  }



  template <class T, class Prop, class Storage, class Allocator>
  void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::WriteText(ostream& FileStream) const
  {

#ifdef SELDON_CHECK_IO
    // Checks if the stream is ready.
    if (!FileStream.good())
      throw IOError("Matrix_ArrayComplexSparse::"
                    "WriteText(ofstream& FileStream)",
                    "Stream is not ready.");
#endif

    // Conversion to coordinate format (1-index convention).
    IVect IndRow, IndCol; Vector<complex<T> > Value;
    const Matrix<T, Prop, Storage, Allocator>& leaf_class =
      static_cast<const Matrix<T, Prop, Storage, Allocator>& >(*this);

    ConvertMatrix_to_Coordinates(leaf_class, IndRow, IndCol,
                                 Value, 1, true);

    for (int i = 0; i < IndRow.GetM(); i++)
      FileStream << IndRow(i) << " " << IndCol(i) << " " << Value(i) << '\n';

    // If the last element a_{m,n} does not exist, we add a zero.
    int m = Storage::GetFirst(this->m_, this->n_);
    int n = Storage::GetSecond(this->m_, this->n_);
    bool presence_last_elt = false;
    if (m > 0 && n > 0)
      {
        if (this->val_real_(m-1).GetM() > 0)
          {
            int p = this->val_real_(m-1).GetM();
            if (this->val_real_(m-1).Index(p-1) == n-1)
              presence_last_elt = true;
          }

        if (this->val_imag_(m-1).GetM() > 0)
          {
            int p = this->val_imag_(m-1).GetM();
            if (this->val_imag_(m-1).Index(p-1) == n-1)
              presence_last_elt = true;
          }

        if (!presence_last_elt)
          {
            complex<T> zero;
            SetComplexZero(zero);
            FileStream << this->m_ << " " << this->n_ << " " << zero << '\n';
          }
      }
  }



  template <class T, class Prop, class Storage, class Allocator>
  void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::Read(string FileName)
  {
    ifstream FileStream;
    FileStream.open(FileName.c_str());

#ifdef SELDON_CHECK_IO
    // Checks if the file was opened.
    if (!FileStream.is_open())
      throw IOError("Matrix_ArrayComplexSparse::Read(string FileName)",
                    string("Unable to open file \"") + FileName + "\".");
#endif

    this->Read(FileStream);

    FileStream.close();
  }



  template <class T, class Prop, class Storage, class Allocator>
  void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::Read(istream& FileStream)
  {

#ifdef SELDON_CHECK_IO
    // Checks if the stream is ready.
    if (!FileStream.good())
      throw IOError("Matrix_ArraySparse::Read(ofstream& FileStream)",
                    "Stream is not ready.");
#endif

    FileStream.read(reinterpret_cast<char*>(const_cast<int*>(&this->m_)),
                    sizeof(int));

    FileStream.read(reinterpret_cast<char*>(const_cast<int*>(&this->n_)),
                    sizeof(int));

    val_real_.Reallocate(Storage::GetFirst(this->m_, this->n_));
    val_imag_.Reallocate(Storage::GetFirst(this->m_, this->n_));
    for (int i = 0; i < val_real_.GetM(); i++)
      {
        val_real_(i).Read(FileStream);
        val_imag_(i).Read(FileStream);
      }

#ifdef SELDON_CHECK_IO
    // Checks if data was read.
    if (!FileStream.good())
      throw IOError("Matrix_ArraySparse::Read(istream& FileStream)",
                    string("Input operation failed.")
                    + string(" The input file may have been removed")
                    + " or may not contain enough data.");
#endif

  }



  template <class T, class Prop, class Storage, class Allocator>
  void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::ReadText(string FileName)
  {
    ifstream FileStream;
    FileStream.open(FileName.c_str());

#ifdef SELDON_CHECK_IO
    // Checks if the file was opened.
    if (!FileStream.is_open())
      throw IOError("Matrix_ArraySparse::ReadText(string FileName)",
                    string("Unable to open file \"") + FileName + "\".");
#endif

    this->ReadText(FileStream);

    FileStream.close();
  }



  template <class T, class Prop, class Storage, class Allocator>
  void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>
  ::ReadText(istream& FileStream)
  {
    Matrix<T, Prop, Storage, Allocator>& leaf_class =
      static_cast<Matrix<T, Prop, Storage, Allocator>& >(*this);

    complex<T> zero; int index = 1;
    ReadCoordinateMatrix(leaf_class, FileStream, zero, index);
  }



  template <class T, class Prop, class Storage, class Allocator>
  void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::Assemble()
  {
    for (int i = 0; i < Storage::GetFirst(this->m_, this->n_); i++)
      {
        val_real_(i).Assemble();
        val_imag_(i).Assemble();
      }
  }


  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  SetIdentity()
  {
    this->n_ = this->m_;
    for (int i = 0; i < this->m_; i++)
      {
        val_real_(i).Reallocate(1);
        val_real_(i).Index(0) = i;
        val_real_(i).Value(0) = T(1);
      }
  }


  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::Zero()
  {
    for (int i = 0; i < Storage::GetFirst(this->m_, this->n_); i++)
      {
        val_real_(i).Zero();
        val_imag_(i).Zero();
      }
  }


  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::Fill()
  {
    int value = 0;
    for (int i = 0; i < Storage::GetFirst(this->m_, this->n_); i++)
      {
        for (int j = 0; j < val_real_(i).GetM(); j++)
          val_real_(i).Value(j) = value++;

        for (int j = 0; j < val_imag_(i).GetM(); j++)
          val_imag_(i).Value(j) = value++;
      }
  }



  template <class T, class Prop, class Storage, class Allo> template<class T0>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allo>::
  Fill(const complex<T0>& x)
  {
    for (int i = 0; i < Storage::GetFirst(this->m_, this->n_); i++)
      {
        val_real_(i).Fill(real(x));
        val_imag_(i).Fill(imag(x));
      }
  }


  template <class T, class Prop, class Storage, class Allocator>
  template <class T0>
  inline Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>&
  Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::operator=
  (const complex<T0>& x)
  {
    this->Fill(x);
  }


  template <class T, class Prop, class Storage, class Allocator>
  inline void Matrix_ArrayComplexSparse<T, Prop, Storage, Allocator>::
  FillRand()
  {
    for (int i = 0; i < Storage::GetFirst(this->m_, this->n_); i++)
      {
        val_real_(i).FillRand();
        val_imag_(i).FillRand();
      }
  }


  // MATRIX<ARRAY_COLCOMPLEXSPARSE> //



  template <class T, class Prop, class Allocator>
  inline Matrix<T, Prop, ArrayColComplexSparse, Allocator>::Matrix():
    Matrix_ArrayComplexSparse<T, Prop, ArrayColComplexSparse, Allocator>()
  {
  }



  template <class T, class Prop, class Allocator>
  inline Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::Matrix(int i, int j) :
    Matrix_ArrayComplexSparse<T, Prop, ArrayColComplexSparse, Allocator>(i, j)
  {
  }


  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::ClearRealColumn(int i)
  {
    this->val_real_(i).Clear();
  }


  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::ClearImagColumn(int i)
  {
    this->val_imag_(i).Clear();
  }



  template <class T, class Prop, class Alloc> inline
  void Matrix<T, Prop, ArrayColComplexSparse, Alloc>
  ::ReallocateRealColumn(int i, int j)
  {
    this->val_real_(i).Reallocate(j);
  }



  template <class T, class Prop, class Alloc> inline
  void Matrix<T, Prop, ArrayColComplexSparse, Alloc>
  ::ReallocateImagColumn(int i, int j)
  {
    this->val_imag_(i).Reallocate(j);
  }



  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::ResizeRealColumn(int i, int j)
  {
    this->val_real_(i).Resize(j);
  }



  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::ResizeImagColumn(int i, int j)
  {
    this->val_imag_(i).Resize(j);
  }



  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::SwapRealColumn(int i, int j)
  {
    Swap(this->val_real_(i), this->val_real_(j));
  }



  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::SwapImagColumn(int i, int j)
  {
    Swap(this->val_imag_(i), this->val_imag_(j));
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColComplexSparse, Allocator>::
  ReplaceRealIndexColumn(int i, IVect& new_index)
  {
    for (int j = 0; j < this->val_real_(i).GetM(); j++)
      this->val_real_(i).Index(j) = new_index(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColComplexSparse, Allocator>::
  ReplaceImagIndexColumn(int i, IVect& new_index)
  {
    for (int j = 0; j < this->val_imag_(i).GetM(); j++)
      this->val_imag_(i).Index(j) = new_index(j);
  }



  template <class T, class Prop, class Allocator>
  inline int Matrix<T, Prop, ArrayColComplexSparse, Allocator>::
  GetRealColumnSize(int i) const
  {
    return this->val_real_(i).GetSize();
  }



  template <class T, class Prop, class Allocator>
  inline int Matrix<T, Prop, ArrayColComplexSparse, Allocator>::
  GetImagColumnSize(int i) const
  {
    return this->val_imag_(i).GetSize();
  }


  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::PrintRealColumn(int i) const
  {
    this->val_real_(i).Print();
  }


  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::PrintImagColumn(int i) const
  {
    this->val_imag_(i).Print();
  }



  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::AssembleRealColumn(int i)
  {
    this->val_real_(i).Assemble();
  }



  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayColComplexSparse, Allocator>
  ::AssembleImagColumn(int i)
  {
    this->val_imag_(i).Assemble();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColComplexSparse, Allocator>::
  AddInteraction(int i, int j, const complex<T>& val)
  {
    if (real(val) != T(0))
      this->val_real_(j).AddInteraction(i, real(val));

    if (imag(val) != T(0))
      this->val_imag_(j).AddInteraction(i, imag(val));
  }



  template <class T, class Prop, class Allocator> template <class Alloc1>
  inline void Matrix<T, Prop, ArrayColComplexSparse, Allocator>::
  AddInteractionRow(int i, int nb, const IVect& col,
                    const Vector<complex<T>, VectFull, Alloc1>& val)
  {
    for (int j = 0; j < nb; j++)
      AddInteraction(i, col(j), val(j));
  }



  template <class T, class Prop, class Allocator> template <class Alloc1>
  inline void Matrix<T, Prop, ArrayColComplexSparse, Allocator>::
  AddInteractionColumn(int i, int nb, const IVect& row,
                       const Vector<complex<T>, VectFull, Alloc1>& val)
  {
    int nb_real = 0;
    int nb_imag = 0;
    IVect row_real(nb), row_imag(nb);
    Vector<T> val_real(nb), val_imag(nb);
    for (int j = 0; j < nb; j++)
      {
        if (real(val(j)) != T(0))
          {
            row_real(nb_real) = row(j);
            val_real(nb_real) = real(val(j));
            nb_real++;
          }

        if (imag(val(j)) != T(0))
          {
            row_imag(nb_imag) = row(j);
            val_imag(nb_imag) = imag(val(j));
            nb_imag++;
          }
      }

    this->val_real_(i).AddInteractionRow(nb_real, row_real, val_real);
    this->val_imag_(i).AddInteractionRow(nb_imag, row_imag, val_imag);
  }


  // MATRIX<ARRAY_ROWCOMPLEXSPARSE> //



  template <class T, class Prop, class Allocator>
  inline Matrix<T, Prop, ArrayRowComplexSparse, Allocator>::Matrix():
    Matrix_ArrayComplexSparse<T, Prop, ArrayRowComplexSparse, Allocator>()
  {
  }



  template <class T, class Prop, class Allocator>
  inline Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::Matrix(int i, int j):
    Matrix_ArrayComplexSparse<T, Prop, ArrayRowComplexSparse, Allocator>(i, j)
  {
  }


  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::ClearRealRow(int i)
  {
    this->val_real_(i).Clear();
  }


  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::ClearImagRow(int i)
  {
    this->val_imag_(i).Clear();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>::
  ReallocateRealRow(int i, int j)
  {
    this->val_real_(i).Reallocate(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>::
  ReallocateImagRow(int i, int j)
  {
    this->val_imag_(i).Reallocate(j);
  }



  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::ResizeRealRow(int i, int j)
  {
    this->val_real_(i).Resize(j);
  }



  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::ResizeImagRow(int i, int j)
  {
    this->val_imag_(i).Resize(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::SwapRealRow(int i,int j)
  {
    Swap(this->val_real_(i), this->val_real_(j));
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::SwapImagRow(int i, int j)
  {
    Swap(this->val_imag_(i), this->val_imag_(j));
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>::
  ReplaceRealIndexRow(int i, IVect& new_index)
  {
    for (int j = 0; j < this->val_real_(i).GetM(); j++)
      this->val_real_(i).Index(j) = new_index(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>::
  ReplaceImagIndexRow(int i, IVect& new_index)
  {
    for (int j = 0; j < this->val_imag_(i).GetM(); j++)
      this->val_imag_(i).Index(j) = new_index(j);
  }



  template <class T, class Prop, class Allocator> inline
  int Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::GetRealRowSize(int i) const
  {
    return this->val_real_(i).GetSize();
  }



  template <class T, class Prop, class Allocator> inline
  int Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::GetImagRowSize(int i) const
  {
    return this->val_imag_(i).GetSize();
  }


  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::PrintRealRow(int i) const
  {
    this->val_real_(i).Print();
  }


  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::PrintImagRow(int i) const
  {
    this->val_imag_(i).Print();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::AssembleRealRow(int i)
  {
    this->val_real_(i).Assemble();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>
  ::AssembleImagRow(int i)
  {
    this->val_imag_(i).Assemble();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>::
  AddInteraction(int i, int j, const complex<T>& val)
  {
    if (real(val) != T(0))
      this->val_real_(i).AddInteraction(j, real(val));

    if (imag(val) != T(0))
      this->val_imag_(i).AddInteraction(j, imag(val));
  }



  template <class T, class Prop, class Allocator> template <class Alloc1>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>::
  AddInteractionRow(int i, int nb, const IVect& col,
                    const Vector<complex<T>, VectFull, Alloc1>& val)
  {
    if (nb <= 0)
      return;

    int nb_real = 0;
    int nb_imag = 0;
    IVect col_real(nb), col_imag(nb);
    Vector<T> val_real(nb), val_imag(nb);
    for (int j = 0; j < nb; j++)
      {
        if (real(val(j)) != T(0))
          {
            col_real(nb_real) = col(j);
            val_real(nb_real) = real(val(j));
            nb_real++;
          }

        if (imag(val(j)) != T(0))
          {
            col_imag(nb_imag) = col(j);
            val_imag(nb_imag) = imag(val(j));
            nb_imag++;
          }
      }

    this->val_real_(i).AddInteractionRow(nb_real, col_real, val_real);
    this->val_imag_(i).AddInteractionRow(nb_imag, col_imag, val_imag);
  }



  template <class T, class Prop, class Allocator> template <class Alloc1>
  inline void Matrix<T, Prop, ArrayRowComplexSparse, Allocator>::
  AddInteractionColumn(int i, int nb, const IVect& row,
                       const Vector<complex<T>, VectFull, Alloc1>& val)
  {
    for (int j = 0; j < nb; j++)
      AddInteraction(row(j), i, val(j));
  }


  // MATRIX<ARRAY_COLSYMCOMPLEXSPARSE> //



  template <class T, class Prop, class Allocator>
  inline Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::Matrix():
    Matrix_ArrayComplexSparse<T, Prop, ArrayColSymComplexSparse, Allocator>()
  {
  }



  template <class T, class Prop, class Allocator>
  inline Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::Matrix(int i, int j):
    Matrix_ArrayComplexSparse<T, Prop, ArrayColSymComplexSparse, Allocator>(i, j)
  {
  }


  /**********************************
   * ELEMENT ACCESS AND AFFECTATION *
   **********************************/



  template <class T, class Prop, class Allocator>
  inline complex<T>
  Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::operator() (int i, int j)
    const
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::operator()", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::operator()", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    if (i <= j)
      return complex<T>(this->val_real_(j)(i), this->val_imag_(j)(i));

    return complex<T>(this->val_real_(i)(j), this->val_imag_(i)(j));
  }



  template <class T, class Prop, class Allocator>
  inline T&
  Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::ValReal(int i, int j)
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::ValReal", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::ValReal", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
    if (i > j)
      throw WrongArgument("Matrix::ValReal()",
                          string("With this function, you ")
                          + "can only access upper part of matrix.");
#endif

    return this->val_real_(j).Val(i);
  }



  template <class T, class Prop, class Allocator>
  inline const T&
  Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>
  ::ValReal(int i, int j) const
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::ValReal", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::ValReal", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
    if (i > j)
      throw WrongArgument("Matrix::ValReal()",
                          string("With this function, you ")
                          + "can only access upper part of matrix.");
#endif

    return this->val_real_(j).Val(i);
  }



  template <class T, class Prop, class Allocator>
  inline T&
  Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::GetReal(int i, int j)
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::GetReal", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::GetReal", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    if (i <= j)
      return this->val_real_(j).Get(i);

    return this->val_real_(i).Get(j);
  }



  template <class T, class Prop, class Allocator>
  inline const T&
  Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>
  ::GetReal(int i, int j) const
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::GetReal", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::GetReal", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    if (i <= j)
      return this->val_real_(j).Get(i);

    return this->val_real_(i).Get(j);
  }



  template <class T, class Prop, class Allocator>
  inline T&
  Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::ValImag(int i, int j)
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::ValImag", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::ValImag", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
    if (i > j)
      throw WrongArgument("Matrix::ValImag()",
                          string("With this function, you ")
                          + "can only access upper part of matrix.");
#endif

    return this->val_imag_(j).Val(i);
  }



  template <class T, class Prop, class Allocator>
  inline const T&
  Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>
  ::ValImag(int i, int j) const
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::ValImag", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::ValImag", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
    if (i > j)
      throw WrongArgument("Matrix::ValImag()",
                          string("With this function, you ")
                          + "can only access upper part of matrix.");
#endif

    return this->val_imag_(j).Val(i);
  }



  template <class T, class Prop, class Allocator>
  inline T&
  Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::GetImag(int i, int j)
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::GetImag", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::GetImag", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    if (i <= j)
      return this->val_imag_(j).Get(i);

    return this->val_imag_(i).Get(j);
  }



  template <class T, class Prop, class Allocator>
  inline const T&
  Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>
  ::GetImag(int i, int j) const
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::GetImag", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::GetImag", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    if (i <= j)
      return this->val_imag_(j).Val(i);

    return this->val_imag_(i).Val(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>
  ::Set(int i, int j, const complex<T>& x)
  {
    if (i <= j)
      {
        if (real(x) != T(0))
          this->val_real_(j).Get(i) = real(x);
        else
          {
            if (this->val_real_(j)(i) != T(0))
              this->val_real_(j).Get(i) = T(0);
          }

        if (imag(x) != T(0))
          this->val_imag_(j).Get(i) = imag(x);
        else
          {
            if (this->val_imag_(j)(i) != T(0))
              this->val_imag_(j).Get(i) = T(0);
          }
      }
    else
      {
        if (real(x) != T(0))
          this->val_real_(i).Get(j) = real(x);
        else
          {
            if (this->val_real_(i)(j) != T(0))
              this->val_real_(i).Get(j) = T(0);
          }

        if (imag(x) != T(0))
          this->val_imag_(i).Get(j) = imag(x);
        else
          {
            if (this->val_imag_(i)(j) != T(0))
              this->val_imag_(i).Get(j) = T(0);
          }
      }
  }


  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::ClearRealColumn(int i)
  {
    this->val_real_(i).Clear();
  }


  template <class T, class Prop, class Allocator> inline
  void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::ClearImagColumn(int i)
  {
    this->val_imag_(i).Clear();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  ReallocateRealColumn(int i, int j)
  {
    this->val_real_(i).Reallocate(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  ReallocateImagColumn(int i, int j)
  {
    this->val_imag_(i).Reallocate(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  ResizeRealColumn(int i, int j)
  {
    this->val_real_(i).Resize(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  ResizeImagColumn(int i, int j)
  {
    this->val_imag_(i).Resize(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  SwapRealColumn(int i, int j)
  {
    Swap(this->val_real_(i), this->val_real_(j));
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  SwapImagColumn(int i, int j)
  {
    Swap(this->val_imag_(i), this->val_imag_(j));
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  ReplaceRealIndexColumn(int i, IVect& new_index)
  {
    for (int j = 0; j < this->val_real_(i).GetM(); j++)
      this->val_real_(i).Index(j) = new_index(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  ReplaceImagIndexColumn(int i, IVect& new_index)
  {
    for (int j = 0; j < this->val_imag_(i).GetM(); j++)
      this->val_imag_(i).Index(j) = new_index(j);
  }



  template <class T, class Prop, class Allocator>
  inline int Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  GetRealColumnSize(int i) const
  {
    return this->val_real_(i).GetSize();
  }



  template <class T, class Prop, class Allocator>
  inline int Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  GetImagColumnSize(int i) const
  {
    return this->val_imag_(i).GetSize();
  }


  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  PrintRealColumn(int i) const
  {
    this->val_real_(i).Print();
  }


  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  PrintImagColumn(int i) const
  {
    this->val_imag_(i).Print();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  AssembleRealColumn(int i)
  {
    this->val_real_(i).Assemble();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  AssembleImagColumn(int i)
  {
    this->val_imag_(i).Assemble();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  AddInteraction(int i, int j, const complex<T>& val)
  {
    if (i <= j)
      {
        if (real(val) != T(0))
          this->val_real_(j).AddInteraction(i, real(val));

        if (imag(val) != T(0))
          this->val_imag_(j).AddInteraction(i, imag(val));
      }
  }



  template <class T, class Prop, class Allocator> template <class Alloc1>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  AddInteractionRow(int i, int nb, const IVect& col,
                    const Vector<complex<T>, VectFull, Alloc1>& val)
  {
    for (int j = 0; j < nb; j++)
      AddInteraction(i, col(j), val(j));
  }



  template <class T, class Prop, class Allocator> template <class Alloc1>
  inline void Matrix<T, Prop, ArrayColSymComplexSparse, Allocator>::
  AddInteractionColumn(int i, int nb, const IVect& row,
                       const Vector<complex<T>, VectFull, Alloc1>& val)
  {
    int nb_real = 0;
    int nb_imag = 0;
    IVect row_real(nb), row_imag(nb);
    Vector<T> val_real(nb), val_imag(nb);
    for (int j = 0; j < nb; j++)
      if (row(j) <= i)
        {
          if (real(val(j)) != T(0))
            {
              row_real(nb_real) = row(j);
              val_real(nb_real) = real(val(j));
              nb_real++;
            }

          if (imag(val(j)) != T(0))
            {
              row_imag(nb_imag) = row(j);
              val_imag(nb_imag) = imag(val(j));
              nb_imag++;
            }
        }

    this->val_real_(i).AddInteractionRow(nb_real, row_real, val_real);
    this->val_imag_(i).AddInteractionRow(nb_imag, row_imag, val_imag);
  }


  // MATRIX<ARRAY_ROWSYMCOMPLEXSPARSE> //



  template <class T, class Prop, class Allocator>
  inline Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::Matrix():
    Matrix_ArrayComplexSparse<T, Prop, ArrayRowSymComplexSparse, Allocator>()
  {
  }



  template <class T, class Prop, class Allocator>
  inline Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::Matrix(int i, int j):
    Matrix_ArrayComplexSparse<T, Prop, ArrayRowSymComplexSparse, Allocator>(i, j)
  {
  }


  /**********************************
   * ELEMENT ACCESS AND AFFECTATION *
   **********************************/



  template <class T, class Prop, class Allocator>
  inline complex<T>
  Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::operator() (int i, int j)
    const
  {

#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix_ArraySparse::operator()", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix_ArraySparse::operator()", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    if (i <= j)
      return complex<T>(this->val_real_(i)(j), this->val_imag_(i)(j));

    return complex<T>(this->val_real_(j)(i), this->val_imag_(j)(i));
  }



  template <class T, class Prop, class Allocator>
  inline T&
  Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::ValReal(int i, int j)
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::ValReal", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::ValReal", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
    if (i > j)
      throw WrongArgument("Matrix::ValReal()",
                          string("With this function, you ")
                          + "can only access upper part of matrix.");
#endif

    return this->val_real_(i).Val(j);
  }



  template <class T, class Prop, class Allocator>
  inline const T&
  Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::ValReal(int i, int j) const
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::ValReal", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::ValReal", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
    if (i > j)
      throw WrongArgument("Matrix::ValReal()",
                          string("With this function, you ")
                          + "can only access upper part of matrix.");
#endif

    return this->val_real_(i).Val(j);
  }



  template <class T, class Prop, class Allocator>
  inline T&
  Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::GetReal(int i, int j)
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::GetReal", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::GetReal", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    if (i <= j)
      return this->val_real_(i).Get(j);

    return this->val_real_(j).Get(i);
  }



  template <class T, class Prop, class Allocator>
  inline const T&
  Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::GetReal(int i, int j) const
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::GetReal", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::GetReal", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    if (i <= j)
      return this->val_real_(i).Get(j);

    return this->val_real_(j).Get(i);
  }



  template <class T, class Prop, class Allocator>
  inline T&
  Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::ValImag(int i, int j)
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::ValImag", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::ValImag", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
    if (i > j)
      throw WrongArgument("Matrix::ValImag()",
                          string("With this function, you ")
                          + "can only access upper part of matrix.");
#endif

    return this->val_imag_(i).Val(j);
  }



  template <class T, class Prop, class Allocator>
  inline const T&
  Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::ValImag(int i, int j) const
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::ValImag", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::ValImag", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
    if (i > j)
      throw WrongArgument("Matrix::ValImag()",
                          string("With this function, you ")
                          + "can only access upper part of matrix.");
#endif

    return this->val_imag_(i).Val(j);
  }



  template <class T, class Prop, class Allocator>
  inline T&
  Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::GetImag(int i, int j)
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::GetImag", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::GetImag", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    if (i <= j)
      return this->val_imag_(i).Get(j);

    return this->val_imag_(j).Get(i);
  }



  template <class T, class Prop, class Allocator>
  inline const T&
  Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::GetImag(int i, int j) const
  {
#ifdef SELDON_CHECK_BOUNDS
    if (i < 0 || i >= this->m_)
      throw WrongRow("Matrix::GetImag", "Index should be in [0, "
                     + to_str(this->m_-1) + "], but is equal to "
                     + to_str(i) + ".");
    if (j < 0 || j >= this->n_)
      throw WrongCol("Matrix::GetImag", "Index should be in [0, "
                     + to_str(this->n_-1) + "], but is equal to "
                     + to_str(j) + ".");
#endif

    if (i <= j)
      return this->val_imag_(i).Val(j);

    return this->val_imag_(j).Val(i);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::Set(int i, int j, const complex<T>& x)
  {
    if (i <= j)
      {
        if (real(x) != T(0))
          this->val_real_(i).Get(j) = real(x);
        else
          {
            if (this->val_real_(i)(j) != T(0))
              this->val_real_(i).Get(j) = T(0);
          }

        if (imag(x) != T(0))
          this->val_imag_(i).Get(j) = imag(x);
        else
          {
            if (this->val_imag_(i)(j) != T(0))
              this->val_imag_(i).Get(j) = T(0);
          }
      }
    else
      {
        if (real(x) != T(0))
          this->val_real_(j).Get(i) = real(x);
        else
          {
            if (this->val_real_(j)(i) != T(0))
              this->val_real_(j).Get(i) = T(0);
          }

        if (imag(x) != T(0))
          this->val_imag_(j).Get(i) = imag(x);
        else
          {
            if (this->val_imag_(j)(i) != T(0))
              this->val_imag_(j).Get(i) = T(0);
          }
      }
  }


  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::ClearRealRow(int i)
  {
    this->val_real_(i).Clear();
  }


  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::ClearImagRow(int i)
  {
    this->val_imag_(i).Clear();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  ReallocateRealRow(int i,int j)
  {
    this->val_real_(i).Reallocate(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  ReallocateImagRow(int i,int j)
  {
    this->val_imag_(i).Reallocate(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  ResizeRealRow(int i,int j)
  {
    this->val_real_(i).Resize(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  ResizeImagRow(int i,int j)
  {
    this->val_imag_(i).Resize(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  SwapRealRow(int i,int j)
  {
    Swap(this->val_real_(i), this->val_real_(j));
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  SwapImagRow(int i,int j)
  {
    Swap(this->val_imag_(i), this->val_imag_(j));
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  ReplaceRealIndexRow(int i, IVect& new_index)
  {
    for (int j = 0; j < this->val_real_(i).GetM(); j++)
      this->val_real_(i).Index(j) = new_index(j);
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  ReplaceImagIndexRow(int i,IVect& new_index)
  {
    for (int j = 0; j < this->val_imag_(i).GetM(); j++)
      this->val_imag_(i).Index(j) = new_index(j);
  }



  template <class T, class Prop, class Allocator>
  inline int Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::GetRealRowSize(int i)
    const
  {
    return this->val_real_(i).GetSize();
  }



  template <class T, class Prop, class Allocator>
  inline int Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::GetImagRowSize(int i) const
  {
    return this->val_imag_(i).GetSize();
  }


  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::PrintRealRow(int i) const
  {
    this->val_real_(i).Print();
  }


  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::PrintImagRow(int i) const
  {
    this->val_imag_(i).Print();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::AssembleRealRow(int i)
  {
    this->val_real_(i).Assemble();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>
  ::AssembleImagRow(int i)
  {
    this->val_imag_(i).Assemble();
  }



  template <class T, class Prop, class Allocator>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  AddInteraction(int i, int j, const complex<T>& val)
  {
    if (i <= j)
      {
        if (real(val) != T(0))
          this->val_real_(i).AddInteraction(j, real(val));

        if (imag(val) != T(0))
          this->val_imag_(i).AddInteraction(j, imag(val));
      }
  }



  template <class T, class Prop, class Allocator> template <class Alloc1>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  AddInteractionRow(int i, int nb, const IVect& col,
                    const Vector<complex<T>, VectFull, Alloc1>& val)
  {
    int nb_real = 0;
    int nb_imag = 0;
    IVect col_real(nb), col_imag(nb);
    Vector<T> val_real(nb), val_imag(nb);
    for (int j = 0; j < nb; j++)
      if (i <= col(j))
        {
          if (real(val(j)) != T(0))
            {
              col_real(nb_real) = col(j);
              val_real(nb_real) = real(val(j));
              nb_real++;
            }

          if (imag(val(j)) != T(0))
            {
              col_imag(nb_imag) = col(j);
              val_imag(nb_imag) = imag(val(j));
              nb_imag++;
            }
        }

    this->val_real_(i).AddInteractionRow(nb_real, col_real, val_real);
    this->val_imag_(i).AddInteractionRow(nb_imag, col_imag, val_imag);
  }



  template <class T, class Prop, class Allocator> template <class Alloc1>
  inline void Matrix<T, Prop, ArrayRowSymComplexSparse, Allocator>::
  AddInteractionColumn(int i, int nb, const IVect& row,
                       const Vector<complex<T>, VectFull, Alloc1>& val)
  {
    for (int j = 0; j < nb; j++)
      AddInteraction(row(j), i, val(j));
  }

} // namespace Seldon

#define SELDON_FILE_MATRIX_ARRAY_COMPLEX_SPARSE_CXX
#endif