File content as of revision 1:ceee5a608e7c:

/**
  ******************************************************************************
  * @file    BezierCurve.hpp
  * @author  RBRO/PJ-IU
  * @version V1.0.0
  * @date    day-month-year
  * @brief   This file contains the class declaration for the Bezier Curve
  *          methods.
  ******************************************************************************
 */

/* include guard */
#ifndef BEZIERCURVE_HPP
#define BEZIERCURVE_HPP

/* complex numbers in cartesian form and several functions and overloads to operate with them */
#include <complex>
#include <BezierCurve/PolynomialFunction.hpp>

#define BEZIER_ORDER 3

namespace math{
   /**
    * @brief It implements the functionality of a Bezier curve. The points on the curve are represented by complex numbers and the input value of the curve have to belong to the interval [0,1].
    * 
    * @tparam T The type of the Bezier curve. 
    */
    template<class T>
    class BezierCurve
    {
        public:
            /* Constructors */
            BezierCurve();
            BezierCurve(std::complex<T> points[BEZIER_ORDER+1]);
            BezierCurve(std::complex<T> a,std::complex<T> b,std::complex<T> c,std::complex<T> d);
            /* Destructor */
            virtual ~BezierCurve();
            /* Set curve */
            void setBezierCurve(std::complex<T> a,std::complex<T> b,std::complex<T> c,std::complex<T> d);
            /* Get value */
            std::complex<T> getValue(float input_value);
            /* First order derivate value */
            std::complex<T> get_FO_DerivateValue(float input_value);
            /* Second order derivate value */
            std::complex<T> get_SO_DerivateValue(float input_value);

            math::PolynomialFunction<std::complex<T>,BEZIER_ORDER > getBezierCurve();
            math::PolynomialFunction<std::complex<T>,BEZIER_ORDER-1> getFODerivate();
            math::PolynomialFunction<std::complex<T>,BEZIER_ORDER-2> getSODerivate();

        protected:

        private:
    //        PRIVATE FUNCTIONS
    //      Convert the complex points to polynomial function
            math::PolynomialFunction<std::complex<float>,BEZIER_ORDER> CP2PF();

    //        PRIVATE PARAMETERS
            std::complex<T> points[BEZIER_ORDER+1];
            math::PolynomialFunction<std::complex<T>,BEZIER_ORDER> bezierCurve;
            math::PolynomialFunction<std::complex<T>,BEZIER_ORDER-1> FOder_bezierCurve;
            math::PolynomialFunction<std::complex<T>,BEZIER_ORDER-2> SOder_bezierCurve;
    };
};//namespace math
#include "beziercurve.inl"

#endif // BEZIERCURVE_HPP