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numeric_vector.h

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2012 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner

// This library 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.

// This library 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 this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA



#ifndef LIBMESH_NUMERIC_VECTOR_H
#define LIBMESH_NUMERIC_VECTOR_H

// Local includes
#include "libmesh/libmesh_common.h"
#include "libmesh/auto_ptr.h"
#include "libmesh/enum_parallel_type.h"
#include "libmesh/enum_solver_package.h"
#include "libmesh/id_types.h"
#include "libmesh/reference_counted_object.h"
#include "libmesh/libmesh.h"

// C++ includes
#include <cstddef>
#include <set>
#include <vector>

namespace libMesh
{


// forward declarations
template <typename T> class NumericVector;
template <typename T> class DenseVector;
template <typename T> class DenseSubVector;
template <typename T> class SparseMatrix;
template <typename T> class ShellMatrix;


template <typename T>
class NumericVector : public ReferenceCountedObject<NumericVector<T> >
{
public:

  explicit
  NumericVector (const ParallelType ptype = AUTOMATIC);

  explicit
  NumericVector (const numeric_index_type n,
                 const ParallelType ptype = AUTOMATIC);

  NumericVector (const numeric_index_type n,
                 const numeric_index_type n_local,
                 const ParallelType ptype = AUTOMATIC);

  NumericVector (const numeric_index_type N,
                 const numeric_index_type n_local,
                 const std::vector<numeric_index_type>& ghost,
                 const ParallelType ptype = AUTOMATIC);

public:

  virtual ~NumericVector ();

  static AutoPtr<NumericVector<T> >
  build(const SolverPackage solver_package = libMesh::default_solver_package());

  virtual bool initialized() const { return _is_initialized; }

  ParallelType type() const { return _type; }

  ParallelType & type() { return _type; }

  virtual bool closed() const { return _is_closed; }

  virtual void close () = 0;

  virtual void clear ();

  virtual void zero () = 0;

  virtual AutoPtr<NumericVector<T> > zero_clone () const = 0;

  virtual AutoPtr<NumericVector<T> > clone () const = 0;

  virtual void init (const numeric_index_type,
                     const numeric_index_type,
                     const bool = false,
                     const ParallelType = AUTOMATIC) = 0;

  virtual void init (const numeric_index_type,
                     const bool = false,
                     const ParallelType = AUTOMATIC) = 0;

  virtual void init (const numeric_index_type /*N*/,
                     const numeric_index_type /*n_local*/,
                     const std::vector<numeric_index_type>& /*ghost*/,
                     const bool /*fast*/ = false,
                     const ParallelType = AUTOMATIC) = 0;

  virtual void init (const NumericVector<T>& other,
                     const bool fast = false) = 0;

  virtual NumericVector<T> & operator= (const T s) = 0;

  virtual NumericVector<T> & operator= (const NumericVector<T> &V) = 0;

  virtual NumericVector<T> & operator= (const std::vector<T> &v) = 0;

  virtual Real min () const = 0;

  virtual Real max () const = 0;

  virtual T sum() const = 0;

  virtual Real l1_norm () const = 0;

  virtual Real l2_norm () const = 0;

  virtual Real linfty_norm () const = 0;

  virtual Real subset_l1_norm (const std::set<numeric_index_type> & indices) const;

  virtual Real subset_l2_norm (const std::set<numeric_index_type> & indices) const;

  virtual Real subset_linfty_norm (const std::set<numeric_index_type> & indices) const;

  virtual numeric_index_type size () const = 0;

  virtual numeric_index_type local_size() const = 0;

  virtual numeric_index_type first_local_index() const = 0;

  virtual numeric_index_type last_local_index() const = 0;

  virtual T operator() (const numeric_index_type i) const = 0;

  virtual T el(const numeric_index_type i) const { return (*this)(i); }

  virtual void get(const std::vector<numeric_index_type>& index, std::vector<T>& values) const;

  virtual NumericVector<T> & operator += (const NumericVector<T> &V) = 0;

  virtual NumericVector<T> & operator -= (const NumericVector<T> &V) = 0;

  NumericVector<T> & operator *= (const T a) { this->scale(a); return *this; }

  NumericVector<T> & operator /= (const T a) { this->scale(1./a); return *this; }

  virtual void reciprocal() = 0;

  virtual void set (const numeric_index_type i, const T value) = 0;

  virtual void add (const numeric_index_type i, const T value) = 0;

  virtual void add (const T s) = 0;

  virtual void add (const NumericVector<T>& V) = 0;

  virtual void add (const T a, const NumericVector<T>& v) = 0;

  virtual void add_vector (const std::vector<T>& v,
                           const std::vector<numeric_index_type>& dof_indices) = 0;

  virtual void add_vector (const NumericVector<T>& V,
                           const std::vector<numeric_index_type>& dof_indices) = 0;

  virtual void add_vector (const NumericVector<T>&,
                           const SparseMatrix<T>&) = 0;

  void add_vector (const NumericVector<T>& v,
                   const ShellMatrix<T>& a);

  virtual void add_vector (const DenseVector<T>& V,
                           const std::vector<numeric_index_type>& dof_indices) = 0;

  virtual void add_vector_transpose (const NumericVector<T>&,
                                     const SparseMatrix<T>&) = 0;

  virtual void insert (const std::vector<T>& v,
                       const std::vector<numeric_index_type>& dof_indices) = 0;

  virtual void insert (const NumericVector<T>& V,
                       const std::vector<numeric_index_type>& dof_indices) = 0;

  virtual void insert (const DenseVector<T>& V,
                       const std::vector<numeric_index_type>& dof_indices) = 0;

  virtual void insert (const DenseSubVector<T>& V,
                       const std::vector<numeric_index_type>& dof_indices) = 0;

  virtual void scale (const T factor) = 0;

  virtual void abs() = 0;

  virtual T dot(const NumericVector<T>&) const = 0;

  virtual void localize (std::vector<T>& v_local) const = 0;

  virtual void localize (NumericVector<T>& v_local) const = 0;

  virtual void localize (NumericVector<T>& v_local,
                         const std::vector<numeric_index_type>& send_list) const = 0;

  virtual void localize (const numeric_index_type first_local_idx,
                         const numeric_index_type last_local_idx,
                         const std::vector<numeric_index_type>& send_list) = 0;

  virtual void localize_to_one (std::vector<T>& v_local,
                                const processor_id_type proc_id=0) const = 0;

  virtual int compare (const NumericVector<T> &other_vector,
                       const Real threshold = TOLERANCE) const;

  virtual int local_relative_compare (const NumericVector<T> &other_vector,
                                      const Real threshold = TOLERANCE) const;

  virtual int global_relative_compare (const NumericVector<T> &other_vector,
                                       const Real threshold = TOLERANCE) const;

  virtual void pointwise_mult (const NumericVector<T>& vec1,
                               const NumericVector<T>& vec2) = 0;

  virtual void print(std::ostream& os=libMesh::out) const;

  virtual void print_global(std::ostream& os=libMesh::out) const;

  friend std::ostream& operator << (std::ostream& os, const NumericVector<T>& v)
  {
    v.print_global(os);
    return os;
  }

  virtual void print_matlab(const std::string name="NULL") const
  {
    libMesh::err << "ERROR: Not Implemented in base class yet!" << std::endl;
    libMesh::err << "ERROR writing MATLAB file " << name << std::endl;
    libmesh_error();
  }

  virtual void create_subvector(NumericVector<T>& ,
                                const std::vector<numeric_index_type>& ) const
  {
    libMesh::err << "ERROR: Not Implemented in base class yet!" << std::endl;
    libmesh_error();
  }

  virtual void swap (NumericVector<T> &v);

protected:

  bool _is_closed;

  bool _is_initialized;

  ParallelType _type;
};


/*----------------------- Inline functions ----------------------------------*/



template <typename T>
inline
NumericVector<T>::NumericVector (const ParallelType ptype) :
  _is_closed(false),
  _is_initialized(false),
  _type(ptype)
{
}



template <typename T>
inline
NumericVector<T>::NumericVector (const numeric_index_type /*n*/,
                                 const ParallelType ptype) :
  _is_closed(false),
  _is_initialized(false),
  _type(ptype)
{
  libmesh_error(); // Abstract base class!
  // init(n, n, false, ptype);
}



template <typename T>
inline
NumericVector<T>::NumericVector (const numeric_index_type /*n*/,
                                 const numeric_index_type /*n_local*/,
                                 const ParallelType ptype) :
  _is_closed(false),
  _is_initialized(false),
  _type(ptype)
{
  libmesh_error(); // Abstract base class!
  // init(n, n_local, false, ptype);
}



template <typename T>
inline
NumericVector<T>::NumericVector (const numeric_index_type /*n*/,
                                 const numeric_index_type /*n_local*/,
                                 const std::vector<numeric_index_type>& /*ghost*/,
                                 const ParallelType ptype) :
  _is_closed(false),
  _is_initialized(false),
  _type(ptype)
{
  libmesh_error(); // Abstract base class!
  // init(n, n_local, ghost, false, ptype);
}



template <typename T>
inline
NumericVector<T>::~NumericVector ()
{
  clear ();
}



// These should be pure virtual, not bugs waiting to happen - RHS
/*
template <typename T>
inline
NumericVector<T> & NumericVector<T>::operator= (const T)
{
  //  libmesh_error();

  return *this;
}



template <typename T>
inline
NumericVector<T> & NumericVector<T>::operator= (const NumericVector<T>&)
{
  //  libmesh_error();

  return *this;
}



template <typename T>
inline
NumericVector<T> & NumericVector<T>::operator= (const std::vector<T>&)
{
  //  libmesh_error();

  return *this;
}
*/



template <typename T>
inline
void NumericVector<T>::clear ()
{
  _is_closed      = false;
  _is_initialized = false;
}



template <typename T>
inline
void NumericVector<T>::get(const std::vector<numeric_index_type>& index, std::vector<T>& values) const
{
  const std::size_t num = index.size();
  values.resize(num);
  for(std::size_t i=0; i<num; i++)
    {
      values[i] = (*this)(index[i]);
    }
}



// Full specialization of the print() member for complex
// variables.  This must precede the non-specialized
// version, at least according to icc v7.1
template <>
inline
void NumericVector<Complex>::print(std::ostream& os) const
{
  libmesh_assert (this->initialized());
  os << "Size\tglobal =  " << this->size()
     << "\t\tlocal =  " << this->local_size() << std::endl;

  // std::complex<>::operator<<() is defined, but use this form
  os << "#\tReal part\t\tImaginary part" << std::endl;
  for (numeric_index_type i=this->first_local_index(); i<this->last_local_index(); i++)
    os << i << "\t"
       << (*this)(i).real() << "\t\t"
       << (*this)(i).imag() << std::endl;
}



template <typename T>
inline
void NumericVector<T>::print(std::ostream& os) const
{
  libmesh_assert (this->initialized());
  os << "Size\tglobal =  " << this->size()
     << "\t\tlocal =  " << this->local_size() << std::endl;

  os << "#\tValue" << std::endl;
  for (numeric_index_type i=this->first_local_index(); i<this->last_local_index(); i++)
    os << i << "\t" << (*this)(i) << std::endl;
}



template <>
inline
void NumericVector<Complex>::print_global(std::ostream& os) const
{
  libmesh_assert (this->initialized());

  std::vector<Complex> v(this->size());
  this->localize(v);

  // Right now we only want one copy of the output
  if (libMesh::processor_id())
    return;

  os << "Size\tglobal =  " << this->size() << std::endl;
  os << "#\tReal part\t\tImaginary part" << std::endl;
  for (numeric_index_type i=0; i!=v.size(); i++)
    os << i << "\t"
       << v[i].real() << "\t\t"
       << v[i].imag() << std::endl;
}


template <typename T>
inline
void NumericVector<T>::print_global(std::ostream& os) const
{
  libmesh_assert (this->initialized());

  std::vector<T> v(this->size());
  this->localize(v);

  // Right now we only want one copy of the output
  if (libMesh::processor_id())
    return;

  os << "Size\tglobal =  " << this->size() << std::endl;
  os << "#\tValue" << std::endl;
  for (numeric_index_type i=0; i!=v.size(); i++)
    os << i << "\t" << v[i] << std::endl;
}



template <typename T>
inline
void  NumericVector<T>::swap (NumericVector<T> &v)
{
  std::swap(_is_closed, v._is_closed);
  std::swap(_is_initialized, v._is_initialized);
  std::swap(_type, v._type);
}


} // namespace libMesh


#endif  // LIBMESH_NUMERIC_VECTOR_H

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