NormalisedPolynomial.h

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//Copyright (c) 2013-2014, The MercuryDPM Developers Team. All rights reserved.
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#ifndef POLY_H
#define POLY_H

#include <cmath>
#include <sstream>
#include <iomanip> //

template<StatType T>
class NORMALIZED_POLYNOMIAL
{
    
//definition of member variables
    
private:
    
    std::string name;

    unsigned int dim;

    std::vector<Mdouble> coefficients; //starting with the highest order
    
    std::vector<Mdouble> averaged_coefficients;

//definition of member functions
    
public:
    
    NORMALIZED_POLYNOMIAL()
    {
        setName("Polynomial");
        coefficients.resize(0);
        dim = 0;
    }
    
    void set_polynomial(std::vector<Mdouble> new_coefficients, unsigned int new_dim);

    void set_polynomial(Mdouble* new_coefficients, unsigned int num_coeff, unsigned int new_dim);

    void setName(const char* new_name)
    {
        name = new_name;
    }
    
    std::string getName()
    {
        return name;
    }
    
    Mdouble evaluate(Mdouble r);

    Mdouble evaluateGradient(Mdouble r);

    Mdouble evaluateIntegral(Mdouble a, Mdouble b, Mdouble t);

    int getOrder(void)
    {
        return coefficients.size() - 1;
    }
    
    friend inline std::ostream& operator<<(std::ostream& os, const NORMALIZED_POLYNOMIAL &P)
    {
        unsigned int N = P.coefficients.size();
        for (unsigned int i = 0; i < N; i++)
        {
            if (P[i]==0.0)
                continue;
            if (P[i] >= 0)
                os << "+";
            os << std::setprecision(2) << P[i];
            if (N - 1 - i > 1)
                os << "r^" << N - 1 - i;
            else if (N - 1 - i == 1)
                os << "r";
        }
        return os;
    }
    
private:
    void finish_set_polynomial();

    Mdouble get_volume();

    Mdouble evaluate_1D(Mdouble r);

    Mdouble evaluate_2D(Mdouble r);

    void set_average();

    void set_average_1D();

    void set_average_2D();

    Mdouble evaluateGradient_1D(Mdouble r);

    Mdouble evaluateGradient_2D(Mdouble r);

    Mdouble evaluateIntegral_1D(Mdouble a, Mdouble b, Mdouble t);

    Mdouble evaluateIntegral_2D(Mdouble a, Mdouble b, Mdouble t);

    Mdouble operator[](int i) const
    {
        return coefficients[i];
    }
    
};
#include "NormalisedPolynomial.hcc"
#endif