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

  Program:   Insight Segmentation & Registration Toolkit
  Module:    $RCSfile: itkOrthogonallyCorrected2DParametricPath.cxx,v $
  Language:  C++
  Date:      $Date: 2003/09/10 14:29:19 $
  Version:   $Revision: 1.6 $

  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.

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


#include "itkOrthogonallyCorrected2DParametricPath.h"
#include <math.h>

// not all versions of math.h seem to define M_PI:
#ifndef M_PI
#define M_PI 3.14159265358979323846
#endif



namespace itk
{

OrthogonallyCorrected2DParametricPath::OutputType
OrthogonallyCorrected2DParametricPath
::Evaluate( const InputType & inputValue ) const
{
  InputType           input = inputValue; // we may want to remap the input
  InputType           inputRange;
  InputType           normalizedInput;
  OutputType          output;
  int                 numOrthogonalCorrections;
  double              softOrthogonalCorrectionTableIndex;
  double              Correction, Correction1, Correction2;
  VectorType          originalDerivative;
  
  numOrthogonalCorrections = m_OrthogonalCorrectionTable->Size(); 

  // If the original path is closed, then tail input is remapped to head input
  if(  m_OriginalPath->EvaluateToIndex(m_OriginalPath->EndOfInput())  ==
       m_OriginalPath->EvaluateToIndex(m_OriginalPath->StartOfInput())  )
    {
    if( input >= m_OriginalPath->EndOfInput() )
      {
      // use the starting input value instead of the ending input value
      input = m_OriginalPath->StartOfInput();
      }
    }
  
  inputRange = m_OriginalPath->EndOfInput() - m_OriginalPath->StartOfInput();
  normalizedInput = ( input - m_OriginalPath->StartOfInput() ) / inputRange;
  output.Fill(0);
  
  // Find the linearly interpolated offset error value for this exact time.
  softOrthogonalCorrectionTableIndex = normalizedInput * numOrthogonalCorrections;
  Correction1 = m_OrthogonalCorrectionTable->ElementAt(
        int(softOrthogonalCorrectionTableIndex) );
  Correction2 = m_OrthogonalCorrectionTable->ElementAt(
        int(softOrthogonalCorrectionTableIndex+1) % numOrthogonalCorrections );
  Correction = Correction1 + (Correction2-Correction1)*
        ( softOrthogonalCorrectionTableIndex -
          int(softOrthogonalCorrectionTableIndex) );
  
  // Find the direction of the offset
  originalDerivative = m_OriginalPath->EvaluateDerivative(input);
  originalDerivative.Normalize();
  
  // Find the actual point along this corrected path
  output = m_OriginalPath->Evaluate(input);
  output[0] -= Correction*originalDerivative[1];
  output[1] += Correction*originalDerivative[0];
  return output;
}



void
OrthogonallyCorrected2DParametricPath
::SetOriginalPath( const OriginalPathType *originalPath )
{
  itkDebugMacro("setting OriginalPath to " << originalPath );
  if (this->m_OriginalPath != originalPath)
    {
    this->m_OriginalPath = originalPath;
    // This is the important line that is not in itkSetObjectMacro
    this->m_DefaultInputStepSize = m_OriginalPath->GetDefaultInputStepSize();
    this->Modified();
    }
}



/**
 * Constructor
 */
OrthogonallyCorrected2DParametricPath
::OrthogonallyCorrected2DParametricPath()
{
  m_OriginalPath = NULL;
  m_OrthogonalCorrectionTable = OrthogonalCorrectionTableType::New();
}



/**
 * Standard "PrintSelf" method
 */
void
OrthogonallyCorrected2DParametricPath
::PrintSelf( std::ostream& os, Indent indent) const
{
  Superclass::PrintSelf( os, indent );
  os << indent << "Original Path:  " << m_OriginalPath << std::endl;
  os << indent << "Correction Table:  " << m_OrthogonalCorrectionTable << std::endl;
}



} // end namespaceitk
