Ellipse.hpp

/*
 * Ellipse.hpp
 * 
 * Copyright 2018 Fernando Pujaico Rivera <fernando.pujaico.rivera@gmail.com>
 * 
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2 of the License, or
 * (at your option) any later version.
 * 
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 * 
 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
 * MA 02110-1301, USA.
 * 
 */
 
#ifndef __PDS_ELLIPSE_HPP__
#define __PDS_ELLIPSE_HPP__
 
#include <string>
#include <Pds/Matrix>
#include <Pds/Vector>
 
namespace Pds{
 
class Ellipse
{
 
private:
    /* Parámetro xc1 del centroide 1.*/
    Pds::Vector xc1;
 
    /* Parámetro xc2 del centroide 2.*/
    Pds::Vector xc2;
    
    /* Major axis.*/
    double a;
 
public:
 
    Ellipse(void);
    
    Ellipse(double a,double b,double xo1,double xo2,double angle);
    
    Ellipse(const Pds::Vector &xc1,const Pds::Vector &xc2,double a);
    
    Ellipse(const Pds::Point2D &xc1,const Pds::Point2D &xc2,double a);
    
    Ellipse(  double A,double B,double C,
              double D,double E,double F);
    
    Ellipse(const Pds::Ellipse &B);
 
    
    ~Ellipse(); 
    
public:
 
    Pds::Matrix RandPerimeter(unsigned int L) const;
    
    Pds::Matrix RandSamples(unsigned int L) const;
public:
 
    Pds::Vector EvalSamples(const Pds::Matrix &X) const;
    
    
    double Evaluate(double x1,double x2) const;
    
    
    double Evaluate(const Pds::Point2D &p) const;
    
public:
 
    Pds::Vector GetMajorVector(void) const;
 
    Pds::Vector GetMinorVector(void) const;
    
    double GetMajorAxis(void) const;
    
    double GetMinorAxis(void) const;
    
    double GetAngle(void) const;
    
    Pds::Vector GetCentroid(void) const;
 
    Pds::Vector GetCentroid1(void) const;
 
    Pds::Vector GetCentroid2(void) const;
    
    double GetArea(void) const;
    
    bool GetQuadraticForm(  double &A,double &B,double &C,
                            double &D,double &E,double &F) const;
    
    
public:
 
    static Pds::Ellipse GetEllipse(const Pds::Matrix &X,const std::string &Type="CovEig");
    
    static Pds::Ellipse GetEllipseCovEigMethod(const Pds::Matrix &X);
    
public:
 
    Pds::Ellipse& operator = (const Pds::Ellipse &B);
    
    bool Copy(const Pds::Ellipse &B);
    
    void MakeEmpty(void);
    
public:
 
    bool IsEmpty(void) const;
    
    
    bool IsInside(double x1,double x2) const;
    
    
    bool IsInside(const Pds::Point2D &p) const;
    
public:
 
    void Print(std::string str="") const;
    
public:
 
    Pds::Json ToJson(void) const;
    
    
    bool FromJson(const Pds::Json &J) ;
    
}; // Class Ellipse
 
} // namespace Pds
 
 
    std::ostream& operator<<(std::ostream &out,const Pds::Ellipse &z);
 
 
#endif