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/**
\file beta2d2.hpp
\brief 2d beta model
\author Junhua Gu
*/
#ifndef BETA_MODEL2d2_H_
#define BETA_MODEL2d2_H_
#define OPT_HEADER
#include <core/fitter.hpp>
#include <cmath>
#include <cassert>
#include "vecn.hpp"
namespace opt_utilities
{
template <typename T>
class beta2d2
:public model<T,vecn<T,2>,std::vector<T>,std::string>
{
private:
model<T,vecn<T,2>,std::vector<T> >* do_clone()const
{
return new beta2d2<T>(*this);
}
const char* do_get_type_name()const
{
return "2d double beta model";
}
public:
beta2d2()
{
this->push_param_info(param_info<std::vector<T> >("r0",20));
this->push_param_info(param_info<std::vector<T> >("x0",100));
this->push_param_info(param_info<std::vector<T> >("y0",100));
this->push_param_info(param_info<std::vector<T> >("epsilon",0));
this->push_param_info(param_info<std::vector<T> >("theta",100));
this->push_param_info(param_info<std::vector<T> >("ampl",3));
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 vecn<T,2>& xy,const std::vector<T>& param)
{
T x=xy[0];
T y=xy[1];
T r0=get_element(param,0);
T x0=get_element(param,1);
T y0=get_element(param,2);
T epsilon=get_element(param,3);
T theta=get_element(param,4);
T ampl=get_element(param,5);
T beta=get_element(param,6);
T bkg=get_element(param,7);
T x_new=(x-x0)*cos(theta)+(y-y0)*sin(theta);
T y_new=(y-y0)*cos(theta)-(x-x0)*sin(theta);
//T _epsilon=sin(epsilon)-0.00001;
T _epsilon=epsilon;
// T r=sqrt(x_new*x_new*(1-_epsilon)*(1-_epsilon)
// + y_new*y_new);
//r/=(1-_epsilon);
T r_r=x_new*x_new/exp(_epsilon)+y_new*y_new/exp(-_epsilon);
return bkg+ampl*pow(1+r_r/r0/r0,-3*beta+static_cast<T>(.5));
}
};
}
#endif
//EOF
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