StarShaped2D.h

#pragma once

#if defined(StarShaped2D_RECURSES)
#error Recursive header files inclusion detected in StarShaped2D.h
#else // defined(StarShaped2D_RECURSES)

#define StarShaped2D_RECURSES

#if !defined StarShaped2D_h

#define StarShaped2D_h

// Inclusions
#include <iostream>
#include "DGtal/base/Common.h"
#include "DGtal/kernel/NumberTraits.h"

namespace DGtal
{

  // template class StarShaped2D
  template <typename TSpace>
  class StarShaped2D
  {
   
  public:
    typedef TSpace Space;
    typedef typename Space::Point Point;
    typedef typename Space::RealPoint RealPoint;
     
    StarShaped2D()
    {}

    ~StarShaped2D();
    
    // ------------------------- Implemented services -------------------------
  public:
    virtual RealPoint interiorPoint() const
    {
      return center();
    }

    // ------------------------- Abstract services ----------------------------
  public:
    
    virtual RealPoint getLowerBound() const = 0;
    
    virtual RealPoint getUpperBound() const = 0;
    

    virtual RealPoint center() const = 0;
    
    virtual double parameter( const RealPoint & p ) const = 0;

    virtual RealPoint x( const double t ) const = 0;

    virtual RealPoint xp( const double t ) const = 0;

    virtual RealPoint xpp( const double t ) const = 0;
    

    // ------------------------- star-shaped services -------------------------
  public:


    bool isInside( const RealPoint & p ) const;

    bool isInside( const Point & p ) const;


    Orientation orientation( const RealPoint &p) const;
    
    
    RealPoint tangent( double t ) const;

    RealPoint normal( double t ) const;

    double curvature( double t ) const;

    double arclength( double t1, double t2, unsigned int nb ) const;


    // ----------------------- Interface --------------------------------------
  public:

    void selfDisplay ( std::ostream & out ) const;

    bool isValid() const;

    // ------------------------- Protected Datas ------------------------------
  private:
    // ------------------------- Private Datas --------------------------------
  private:

    // ------------------------- Hidden services ------------------------------
  protected:

    //StarShaped2D();

  private:

    //StarShaped2D ( const StarShaped2D & other );

    StarShaped2D & operator= ( const StarShaped2D & other );

    // ------------------------- Internals ------------------------------------
  private:

  }; // end of class StarShaped2D


  template <typename T>
  std::ostream&
  operator<< ( std::ostream & out, const StarShaped2D<T> & object );

} // namespace DGtal


// Includes inline functions.
#include "DGtal/shapes/parametric/StarShaped2D.ih"

//                                                                           //

#endif // !defined StarShaped2D_h

#undef StarShaped2D_RECURSES
#endif // else defined(StarShaped2D_RECURSES)