itkSymmetricSecondRankTensor.h

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/*=========================================================================

  Program:   Insight Segmentation & Registration Toolkit
  Module:    $RCSfile: itkSymmetricSecondRankTensor.h,v $
  Language:  C++
  Date:      $Date: 2005/06/29 20:43:38 $
  Version:   $Revision: 1.21 $

  Copyright (c) Insight Software Consortium. All rights reserved.
  See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.

     This software is distributed WITHOUT ANY WARRANTY; without even 
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR 
     PURPOSE.  See the above copyright notices for more information.

=========================================================================*/
#ifndef __itkSymmetricSecondRankTensor_h
#define __itkSymmetricSecondRankTensor_h

// Undefine an eventual SymmetricSecondRankTensor macro
#ifdef SymmetricSecondRankTensor
#undef SymmetricSecondRankTensor
#endif

#include <itkIndent.h>
#include <itkFixedArray.h>
#include <itkMatrix.h>
#include "itkSymmetricEigenAnalysis.h"

namespace itk
{

template < typename TComponent, unsigned int NDimension=3 >
class SymmetricSecondRankTensor: public 
        FixedArray<TComponent,NDimension*(NDimension+1)/2>
{
public:
  typedef SymmetricSecondRankTensor  Self;
  typedef FixedArray<TComponent,NDimension*(NDimension+1)/2> Superclass;
  
  itkStaticConstMacro(Dimension, unsigned int, NDimension);
  itkStaticConstMacro(InternalDimension, unsigned int, NDimension*(NDimension+1)/2);

  typedef FixedArray<TComponent,
          itkGetStaticConstMacro(InternalDimension)> BaseArray;
  
  typedef FixedArray<TComponent, NDimension> EigenValuesArrayType;
  
  typedef Matrix<TComponent, NDimension, NDimension> MatrixType;
  typedef Matrix<TComponent, NDimension, NDimension> EigenVectorsMatrixType;
  
  typedef TComponent ComponentType;
  typedef typename Superclass::ValueType ValueType;
  typedef typename NumericTraits<ValueType>::RealType AccumulateValueType;
  typedef typename NumericTraits<ValueType>::RealType RealValueType;
  
  typedef SymmetricEigenAnalysis< MatrixType, 
            EigenValuesArrayType, EigenVectorsMatrixType >  SymmetricEigenAnalysisType;

  SymmetricSecondRankTensor() {this->Fill(0);}
  
  SymmetricSecondRankTensor (const ComponentType& r) { this->Fill(r); }
  
  typedef ComponentType ComponentArrayType[ itkGetStaticConstMacro(InternalDimension) ];

  SymmetricSecondRankTensor(const Self& r): BaseArray(r) {}
  SymmetricSecondRankTensor(const ComponentArrayType r): BaseArray(r) {}    
  
  Self& operator= (const Self& r);
  Self& operator= (const ComponentType& r);
  Self& operator= (const ComponentArrayType r);

  Self operator+(const Self &vec) const;
  Self operator-(const Self &vec) const;
  const Self & operator+=(const Self &vec);
  const Self & operator-=(const Self &vec);

  Self operator*(const RealValueType & scalar ) const;
  Self operator/(const RealValueType & scalar ) const;
  const Self & operator*=(const RealValueType & scalar );
  const Self & operator/=(const RealValueType & scalar );
 
  static unsigned int GetNumberOfComponents() 
    { 
    return itkGetStaticConstMacro(InternalDimension);
    }

  ComponentType GetNthComponent(int c) const
    { return this->operator[](c); }

  void SetNthComponent(int c, const ComponentType& v)  
    {  this->operator[](c) = v; }

  ValueType & operator()( unsigned int row, unsigned int col );
  const ValueType & operator()( unsigned int row, unsigned int col ) const;

  void SetIdentity();

  AccumulateValueType GetTrace() const;

  void ComputeEigenValues( EigenValuesArrayType & eigenValues ) const;
 
  void ComputeEigenAnalysis( EigenValuesArrayType & eigenValues,
                             EigenVectorsMatrixType & eigenVectors ) const;

private:

  
};

typedef std::ostream               OutputStreamType;
typedef std::istream               InputStreamType;

template< typename TComponent, unsigned int NDimension  >  
ITK_EXPORT OutputStreamType& operator<<(OutputStreamType& os, 
              const SymmetricSecondRankTensor<TComponent,NDimension> & c); 
template< typename TComponent, unsigned int NDimension  >  
ITK_EXPORT InputStreamType& operator>>(InputStreamType& is, 
                    SymmetricSecondRankTensor<TComponent,NDimension> & c); 

template <typename TValueType, unsigned int VLength>
inline SymmetricSecondRankTensor< TValueType, VLength> operator* 
    (double d, const SymmetricSecondRankTensor< TValueType, VLength > & f)
{
  return f * d;
}



} // end namespace itk

#ifndef ITK_MANUAL_INSTANTIATION
#include "itkSymmetricSecondRankTensor.txx"
#endif

#endif

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