/**
   \file beta1d.hpp
   \brief 1d beta model
   \author Junhua Gu
 */


#ifndef BETA_MODEL_H_
#define BETA_MODEL_H_
#define OPT_HEADER
#include <core/fitter.hpp>
#include <cmath>
#include <iostream>

namespace opt_utilities
{
  template <typename T>
  class beta1d
    :public model<T,T,std::vector<T>,std::string>
  {
  private:
    model<T,T,std::vector<T> >* do_clone()const
    {
      return new beta1d<T>(*this);
    }
    
    const char* do_get_type_name()const
    {
      return "1d beta model";
    }
  public:
    beta1d()
    {
      this->push_param_info(param_info<std::vector<T> >("S0",1));
      this->push_param_info(param_info<std::vector<T> >("rc",10));
      this->push_param_info(param_info<std::vector<T> >("beta",2./3.));
      this->push_param_info(param_info<std::vector<T> >("bkg",0));
    }


    T do_eval(const T& x,const std::vector<T>& param)
    {
      T S0=std::abs(get_element(param,0));
      T r_c=get_element(param,1);
      T beta=std::abs(get_element(param,2));
      T bkg=std::abs(get_element(param,3));

      return bkg+S0*pow(1+(x*x)/(r_c*r_c),-3*beta+static_cast<T>(.5));
    }

    std::string do_get_information()const
    {
      return "<math xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\" class=\"equation\"><mi>f</mi><mrow><mo class=\"MathClass-open\">(</mo><mrow><mi>x</mi><mo class=\"MathClass-punc\">;</mo><msub><mrow><mi>S</mi></mrow><mrow><mn>0</mn></mrow></msub><mo class=\"MathClass-punc\">,</mo><mi>β</mi><mo class=\"MathClass-punc\">,</mo><msub><mrow><mi>r</mi></mrow><mrow><mi>c</mi></mrow></msub><mo class=\"MathClass-punc\">,</mo><mi>b</mi><mi>k</mi><mi>g</mi></mrow><mo class=\"MathClass-close\">)</mo></mrow> <mo class=\"MathClass-rel\">=</mo> <msub><mrow><mi>S</mi></mrow><mrow><mn>0</mn></mrow></msub> <mo class=\"MathClass-bin\">∗</mo><msup><mrow><mfenced separators=\"\" open=\"(\" close=\")\"><mrow><mn>1</mn> <mo class=\"MathClass-bin\">+</mo><msup><mrow> <mfenced separators=\"\" open=\"(\" close=\")\"><mrow> <mfrac><mrow><mi>r</mi></mrow><mrow><msub><mrow><mi>r</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></mfrac></mrow></mfenced> </mrow><mrow><mn>2</mn></mrow></msup></mrow></mfenced> </mrow><mrow><mo class=\"MathClass-bin\">−</mo><mn>3</mn><mi>β</mi><mo class=\"MathClass-bin\">+</mo><mn>1</mn><mo class=\"MathClass-bin\">∕</mo><mn>2</mn></mrow></msup> <mo class=\"MathClass-bin\">+</mo> <mi>b</mi><mi>k</mi><mi>g</mi></math>";
    }
  };
}



#endif
//EOF