codac2_Ellipsoid.h

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#pragma once
 
#include "codac2_Matrix.h"
#include "codac2_Vector.h"
#include "codac2_IntervalVector.h"
#include "codac2_AnalyticFunction.h"
#include "codac2_BoolInterval.h"
 
namespace codac2
{
  class Ellipsoid
  {
    public:

      Ellipsoid(Index n);

      Ellipsoid(const Vector& mu, const Matrix& G);

      Index size() const;

      Vector rand() const;

      IntervalVector hull_box() const;

      BoolInterval is_concentric_subset(const Ellipsoid& e) const;

      Ellipsoid proj_2d(const Vector& d, const Vector& v, const Vector& u) const;
 
    public:
 
      Vector mu; 
      Matrix G;  
  };

  Ellipsoid operator+(const Ellipsoid& e1, const Ellipsoid& e2);

  Ellipsoid linear_mapping(const Ellipsoid& e, const Matrix& A, const Vector& b);

  Ellipsoid unreliable_linear_mapping(const Ellipsoid& e, const Matrix& A, const Vector& b);

  Ellipsoid nonlinear_mapping(const Ellipsoid& e, const AnalyticFunction<VectorType>& f);

  Ellipsoid nonlinear_mapping(const Ellipsoid& e, const AnalyticFunction<VectorType>& f,
                              const Vector& trig, const Vector& q);

  Matrix nonlinear_mapping_base(const Matrix& G, const Matrix& J, const IntervalMatrix& J_box,
                                const Vector& trig, const Vector& q);

  std::ostream& operator<<(std::ostream& os, const Ellipsoid& e);
}