/*=========================================================================
 *
 *  Copyright Insight Software Consortium
 *
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
 *  You may obtain a copy of the License at
 *
 *         http://www.apache.org/licenses/LICENSE-2.0.txt
 *
 *  Unless required by applicable law or agreed to in writing, software
 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
 *
 *=========================================================================*/
#ifndef __itkBackwardDifferenceOperator_h
#define __itkBackwardDifferenceOperator_h

#include "itkNeighborhoodOperator.h"

namespace itk
{
/**
 * \class BackwardDifferenceOperator
 * \brief Operator whose inner product with a neighborhood returns
 * a "half" derivative at the center of the neighborhood.
 *
 * BackwardDifferenceOperator uses backward differences
 * i.e. F(x) - F(x-1) to calculate a "half" derivative useful, among
 * other things, in solving differential equations. It is a directional
 * NeighborhoodOperator that should be applied to a Neighborhood using the
 * inner product.
 *
 * \ingroup Operators
 *
 * \ingroup ITKCommon
 *
 * \wiki
 * \wikiexample{Operators/BackwardDifferenceOperator,Create a backward difference kernel}
 * \endwiki
 */
template< typename TPixel, unsigned int TDimension = 2,
          typename TAllocator = NeighborhoodAllocator< TPixel > >
class BackwardDifferenceOperator:
  public NeighborhoodOperator< TPixel, TDimension, TAllocator >
{
public:
  /** Standard class typedefs. */
  typedef BackwardDifferenceOperator                             Self;
  typedef NeighborhoodOperator< TPixel, TDimension, TAllocator > Superclass;

  /** From Superclass */
  typedef typename Superclass::PixelType PixelType;

  /** Constructor. */
  BackwardDifferenceOperator() {}

protected:
  /** Necessary to work around a compiler bug in VC++. */
  typedef typename Superclass::CoefficientVector CoefficientVector;

  /** Calculates operator coefficients. */
  CoefficientVector GenerateCoefficients();

  /** Arranges coefficients spatially in the memory buffer. */
  void Fill(const CoefficientVector & coeff)
  { this->FillCenteredDirectional(coeff); }

private:
  BackwardDifferenceOperator(const Self & other); //purposely not implemented
  Self & operator=(const Self & other);           //purposely not implemented
};
} // namespace itk

#ifndef ITK_MANUAL_INSTANTIATION
#include "itkBackwardDifferenceOperator.hxx"
#endif

#endif
