Equation.h

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//----------------------------------------------------------------------------
//
// "Copyright Centre National d'Etudes Spatiales"
//
// License:  LGPL
//
// See LICENSE.txt file in the top level directory for more details.
//
//----------------------------------------------------------------------------
// $Id$

#ifndef Equation_h
#define Equation_h

#include <complex>
#include <vector>
#include <ossim/plugin/ossimPluginConstants.h>

namespace ossimplugins
{


class OSSIM_PLUGINS_DLL Equation
{
public:
   Equation();
   ~Equation();

   Equation(const Equation& rhs);

   Equation& operator=(const Equation& rhs);

   Equation(int degree, std::complex<double>* coefficients);

   void CreateEquation(int degree, std::complex<double>* coefficients);

   void Solve();

   int get_nbrSol() const
   {
      return _nbrSol;
   };

   const std::complex<double>* get_solutions() const
   {
      return _solutions;
   };

   std::vector<int> get_order() const
   {
      return _order;
   };

protected:

   std::complex<double>* _coefficients;
   int _degree;

   void ComputeTrueDegree();

   void Normalisation();
   void DeNormalisation();
   static const double Epsilon;

   int _nbrSol;
   std::vector<int> _order;
   std::complex<double>* _solutions;
private:

   enum NormalisationType
   {
      GreatValues,
      SmallValues
   };

   NormalisationType _normalisationType;
   double _normalisationCoefficient;
   int _trueDegree;

   void Solve1();
   void Solve2();
   void Solve3(int d4 =0);
   void Solve4();

   std::complex<double> Proche(std::complex<double> z, double epsilon);

   int TestDegree3Triple(std::complex<double>* a, double epsilon);
   int TestDegree3SimpleDouble(std::complex<double>* a, double epsilon);

   int IndiceMin ( int n , double *list);

   int IndiceMax ( int n , double *list);

   int TestDegree4Quad ( std::complex<double> *a , double epsilon );
   int TestDegree4DoubleDouble ( std::complex<double> *a , std::complex<double> *k , double epsilon );
   int TestDegree4SimpleTriple ( std::complex<double> *a , std::complex<double> *k , double epsilon );
   int TestDegreeSimpleSimpleDouble( std::complex<double> *a , double epsilon );
   ;
};
}

#endif