/*=========================================================================
 *
 *  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.
 *
 *=========================================================================*/

#include <algorithm>

#include "itkCommand.h"
#include "itkExhaustiveOptimizerv4.h"

#include "itkMath.h"

/**
 *  The objectif function is the quadratic form:
 *
 *  1/2 x^T A x - b^T x
 *
 *  Where A is a matrix and b is a vector
 *  The system in this example is:
 *
 *     | 3  2 ||x|   | 2|   |0|
 *     | 2  6 ||y| + |-8| = |0|
 *
 *
 *   the solution is the vector | 2 -2 |
 *
 * \class ExhaustiveOptv4Metric
 */
class ExhaustiveOptv4Metric : public itk::ObjectToObjectMetricBase
{
public:

  typedef ExhaustiveOptv4Metric           Self;
  typedef itk::ObjectToObjectMetricBase   Superclass;
  typedef itk::SmartPointer<Self>         Pointer;
  typedef itk::SmartPointer<const Self>   ConstPointer;
  itkNewMacro( Self );

  enum { SpaceDimension=2 };

  typedef Superclass::ParametersType      ParametersType;
  typedef Superclass::DerivativeType      DerivativeType;
  typedef Superclass::MeasureType         MeasureType;


  ExhaustiveOptv4Metric()
  {
    m_HasLocalSupport = false;
  }

  virtual MeasureType  GetValue() const ITK_OVERRIDE
  {
    double x = this->m_Parameters[0];
    double y = this->m_Parameters[1];

    std::cout << "GetValue ( " << x << " , " << y << ") = ";

    MeasureType val = 0.5*(3*x*x+4*x*y+6*y*y) - 2*x + 8*y;

    std::cout << val << std::endl;

    return val;
  }

  virtual void GetDerivative( DerivativeType & derivative ) const ITK_OVERRIDE
  {
    double x = this->m_Parameters[0];
    double y = this->m_Parameters[1];

    std::cout << "GetDerivative ( " << x << " , " << y << ") = ";

    derivative = DerivativeType(SpaceDimension);
    derivative[0] = -(3*x + 2*y -2);
    derivative[1] = -(2*x + 6*y +8);

    std::cout << "(" << derivative[0] <<" , " << derivative[1] << ")" << std::endl;
  }

  void GetValueAndDerivative( MeasureType & value,
                             DerivativeType & derivative ) const ITK_OVERRIDE
  {
    value = GetValue();
    GetDerivative( derivative );
  }

  virtual void Initialize(void) ITK_OVERRIDE
  {
    m_Parameters.SetSize( SpaceDimension );
  }

  virtual unsigned int GetNumberOfLocalParameters() const ITK_OVERRIDE
  {
    return SpaceDimension;
  }

  virtual unsigned int GetNumberOfParameters(void) const ITK_OVERRIDE
  {
    return SpaceDimension;
  }

  virtual void SetParameters( ParametersType & parameters ) ITK_OVERRIDE
  {
    m_Parameters = parameters;
  }

  virtual const ParametersType & GetParameters() const ITK_OVERRIDE
  {
    return m_Parameters;
  }

  virtual bool HasLocalSupport() const ITK_OVERRIDE
  {
    return m_HasLocalSupport;
  }

  void SetHasLocalSupport(bool hls)
  {
    m_HasLocalSupport = hls;
  }

  virtual void UpdateTransformParameters( const DerivativeType &, ParametersValueType ) ITK_OVERRIDE
  {
  }

private:
  ParametersType  m_Parameters;
  bool            m_HasLocalSupport;
};


class IndexObserver : public itk::Command
{
public:
  typedef IndexObserver              Self;
  typedef itk::Command               Superclass;
  typedef itk::SmartPointer < Self > Pointer;

  itkNewMacro ( IndexObserver );

  virtual void  Execute ( const itk::Object *caller, const itk::EventObject &) ITK_OVERRIDE
  {
    typedef itk::ExhaustiveOptimizerv4<double> OptimizerType;
    const OptimizerType *optimizer = dynamic_cast < const OptimizerType * > ( caller );

    if ( ITK_NULLPTR != optimizer )
    {
      OptimizerType::ParametersType currentIndex = optimizer->GetCurrentIndex ();
      itk::SizeValueType currentIteration = optimizer->GetCurrentIteration();

      if ( currentIndex.GetSize () == 2 )
      {
        std::cout << currentIteration << ": ";
        std::cout << " @ index = " << currentIndex << std::endl;
        // Casting is safe here since the indices are always integer values (but there are stored in doubles):
        unsigned long idx = static_cast < unsigned long > ( currentIndex [ 0 ] + 21 * currentIndex [ 1 ] );
        m_VisitedIndices.push_back ( idx );
      }
    }
  }

  virtual void  Execute (itk::Object *caller, const itk::EventObject &event) ITK_OVERRIDE
  {
    Execute ( static_cast < const itk::Object * > ( caller ), event );
  }

  std::vector < unsigned long > m_VisitedIndices;
};

int itkExhaustiveOptimizerv4Test(int, char* [] )
{
  std::cout << "ExhaustiveOptimizerv4 Test ";
  std::cout << std::endl << std::endl;

  typedef  itk::ExhaustiveOptimizerv4<double> OptimizerType;

  typedef  OptimizerType::ScalesType          ScalesType;


  // Declaration of a itkOptimizer
  OptimizerType::Pointer  itkOptimizer = OptimizerType::New();


  // Index observer (enables us to check if all positions were indeed visisted):
  IndexObserver::Pointer idxObserver = IndexObserver::New ();
  itkOptimizer->AddObserver ( itk::IterationEvent (), idxObserver );

  // Declaration of the CostFunction
  ExhaustiveOptv4Metric::Pointer metric = ExhaustiveOptv4Metric::New();
  itkOptimizer->SetMetric( metric.GetPointer() );


  typedef ExhaustiveOptv4Metric::ParametersType    ParametersType;


  const unsigned int spaceDimension =
                      metric->GetNumberOfParameters();

  // We start not so far from  | 2 -2 |
  ParametersType  initialPosition( spaceDimension );
  initialPosition[0] =  0.0;
  initialPosition[1] = -4.0;

  // Set the initial position by setting the metric
  // parameters.
  std::cout << "Set metric parameters." << std::endl;
  metric->SetParameters( initialPosition );


  ScalesType    parametersScale( spaceDimension );
  parametersScale[0] = 1.0;
  parametersScale[1] = 1.0;

  itkOptimizer->SetScales( parametersScale );


  itkOptimizer->SetStepLength( 1.0 );


  typedef OptimizerType::StepsType  StepsType;
  StepsType steps( spaceDimension );
  steps[0] = 10;
  steps[1] = 10;

  itkOptimizer->SetNumberOfSteps( steps );


  try
    {
    itkOptimizer->StartOptimization();
    }
  catch( itk::ExceptionObject & e )
    {
    std::cout << "Exception thrown ! " << std::endl;
    std::cout << "An error occurred during Optimization" << std::endl;
    std::cout << "Location    = " << e.GetLocation()    << std::endl;
    std::cout << "Description = " << e.GetDescription() << std::endl;
    return EXIT_FAILURE;
    }


  bool minimumValuePass = itk::Math::abs ( itkOptimizer->GetMinimumMetricValue() - -10 ) < 1E-3;

  std::cout << "MinimumMetricValue = " << itkOptimizer->GetMinimumMetricValue() << std::endl;
  std::cout << "Minimum Position = " << itkOptimizer->GetMinimumMetricValuePosition() << std::endl;

  bool maximumValuePass = itk::Math::abs ( itkOptimizer->GetMaximumMetricValue() - 926 ) < 1E-3;
  std::cout << "MaximumMetricValue = " << itkOptimizer->GetMaximumMetricValue() << std::endl;
  std::cout << "Maximum Position = " << itkOptimizer->GetMaximumMetricValuePosition() << std::endl;

  ParametersType finalPosition = itkOptimizer->GetMinimumMetricValuePosition();
  std::cout << "Solution        = (";
  std::cout << finalPosition[0] << ",";
  std::cout << finalPosition[1] << ")" << std::endl;

  bool visitedIndicesPass = true;
  std::vector < unsigned long > visitedIndices = idxObserver->m_VisitedIndices;

  size_t requiredNumberOfSteps = ( 2 * steps [ 0 ] + 1 ) * ( 2 * steps [ 1 ] + 1 );
  if ( visitedIndices.size () != requiredNumberOfSteps )
  {
    visitedIndicesPass = false;
  }

  std::sort ( visitedIndices.begin (), visitedIndices.end () );

  for ( size_t i = 0; i < visitedIndices.size (); ++i )
    {
    if ( visitedIndices [ i ] != i )
      {
      visitedIndicesPass = false;
      std::cout << "Mismatch in visited index " << visitedIndices [ i ] << " @ " << i << std::endl;
      break;
      }
    }

  //
  // check results to see if it is within range
  //
  bool trueParamsPass = true;
  double trueParameters[2] = { 2, -2 };
  for( unsigned int j = 0; j < 2; j++ )
    {
    if( itk::Math::abs( finalPosition[j] - trueParameters[j] ) > 0.01 )
      {
      trueParamsPass = false;
      }
    }

  if( !minimumValuePass || !maximumValuePass || !trueParamsPass || !visitedIndicesPass )
    {
    std::cout << "minimumValuePass   = " << minimumValuePass << std::endl;
    std::cout << "maximumValuePass   = " << maximumValuePass << std::endl;
    std::cout << "trueParamsPass     = " << trueParamsPass << std::endl;
    std::cout << "visitedIndicesPass = " << visitedIndicesPass << std::endl;
    std::cout << "Test failed." << std::endl;
    return EXIT_FAILURE;
    }


  std::cout << "Testing PrintSelf " << std::endl;
  itkOptimizer->Print( std::cout );

  std::cout << "Test passed." << std::endl;
  return EXIT_SUCCESS;


}