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#ifndef PROJ_HPP
#define PROJ_HPP
/*
Defining the class that is used to consider the projection effect
Author: Junhua Gu
Last modified: 2011.01.01
*/
#include <core/fitter.hpp>
#include <vector>
#include <cmath>
static const double pi=4*atan(1);
// Ratio of the electron density (n_e) to the proton density (n_p)
// n_gas = n_e + n_p ~= 1.826 n_e => n_e / n_p ~= 1.21
// Reference: Ettori et al. 2013, Space Sci. Rev., 177, 119-154; Eq.(9) below
static const double ne_np_ratio = 1.21;
namespace opt_utilities
{
//This is used to project a 3-D surface brightness model to 2-D profile
template <typename T>
class projector
:public model<std::vector<T>,std::vector<T>,std::vector<T> >
{
private:
//Points to a 3-D model that is to be projected
model<std::vector<T>,std::vector<T>,std::vector<T> >* pmodel;
func_obj<T,T>* pcfunc;
T cm_per_pixel;
public:
//default cstr
projector()
:pmodel(NULL_PTR),pcfunc(NULL_PTR),cm_per_pixel(1)
{}
//copy cstr
projector(const projector& rhs)
:cm_per_pixel(rhs.cm_per_pixel)
{
attach_model(*(rhs.pmodel));
if(rhs.pcfunc)
{
pcfunc=rhs.pcfunc->clone();
}
else
{
pcfunc=NULL_PTR;
}
}
//assign operator
projector& operator=(const projector& rhs)
{
cm_per_pixel=rhs.cm_per_pixel;
if(pmodel)
{
pmodel->destroy();
}
if(pcfunc)
{
pcfunc->destroy();
}
if(rhs.pcfunc)
{
pcfunc=rhs.pcfunc->clone();
}
if(rhs.pmodel)
{
pmodel=rhs.pmodel->clone();
}
}
//destr
~projector()
{
if(pmodel)
{
pmodel->destroy();
}
if(pcfunc)
{
pcfunc->destroy();
}
}
//used to clone self
model<std::vector<T>,std::vector<T>,std::vector<T> >*
do_clone()const
{
return new projector(*this);
}
public:
void set_cm_per_pixel(const T& x)
{
cm_per_pixel=x;
}
//attach the model that is to be projected
void attach_model(const model<std::vector<T>,std::vector<T>,std::vector<T> >& m)
{
this->clear_param_info();
for(size_t i=0;i<m.get_num_params();++i)
{
this->push_param_info(m.get_param_info(i));
}
this -> push_param_info(param_info<std::vector<T>,
std::string>("bkg",0,0,1E99));
pmodel=m.clone();
pmodel->clear_param_modifier();
}
void attach_cfunc(const func_obj<T,T>& cf)
{
if(pcfunc)
{
pcfunc->destroy();
}
pcfunc=cf.clone();
}
public:
//calc the volume
/*
This is a sphere that is subtracted by a cycline.
/| |\
/ | | \
| | | |
| | | |
\ | | /
\| |/
*/
T calc_v_ring(T rsph,T rcyc)
{
if(rcyc<rsph)
{
double a=rsph*rsph-rcyc*rcyc;
return 4.*pi/3.*std::sqrt(a*a*a);
}
return 0;
}
//calc the No. nsph sphere's projection volume on the No. nrad pie region
T calc_v(const std::vector<T>& rlist,int nsph,int nrad)
{
if(nsph<nrad)
{
return 0;
}
else if(nsph==nrad)
{
return calc_v_ring(rlist[nsph+1], rlist[nrad]);
}
else {
return (calc_v_ring(rlist[nsph+1], rlist[nrad]) -
calc_v_ring(rlist[nsph], rlist[nrad]) -
calc_v_ring(rlist[nsph+1], rlist[nrad+1]) +
calc_v_ring(rlist[nsph], rlist[nrad+1]));
}
}
public:
bool do_meets_constraint(const std::vector<T>& p)const
{
std::vector<T> p1(this->reform_param(p));
for(size_t i=0;i!=p1.size();++i)
{
if(get_element(p1,i)>this->get_param_info(i).get_upper_limit()||
get_element(p1,i)<this->get_param_info(i).get_lower_limit())
{
// std::cerr<<this->get_param_info(i).get_name()<<"\t"<<p1[i]<<std::endl;
return false;
}
}
std::vector<T> p2(p1.size()-1);
for(size_t i=0;i<p1.size()-1;++i)
{
p2.at(i)=p1[i];
}
return pmodel->meets_constraint(p2);
}
public:
//Perform the projection
std::vector<T> do_eval(const std::vector<T>& x,const std::vector<T>& p)
{
T bkg=std::abs(p.back());
//I think following codes are clear enough :).
std::vector<T> unprojected(pmodel->eval(x,p));
std::vector<T> projected(unprojected.size());
for(size_t nrad=0; nrad<x.size()-1; ++nrad)
{
for(size_t nsph=nrad; nsph<x.size()-1; ++nsph)
{
double v = calc_v(x, nsph, nrad) * pow(cm_per_pixel, 3);
if(pcfunc)
{
double cfunc = (*pcfunc)((x[nsph+1] + x[nsph]) / 2.0);
projected[nrad] += (unprojected[nsph] * unprojected[nsph] *
cfunc * v / ne_np_ratio);
}
else
{
projected[nrad] += unprojected[nsph] * unprojected[nsph] * v;
}
}
double area = pi * (x[nrad+1]*x[nrad+1] - x[nrad]*x[nrad]);
projected[nrad] /= area;
projected[nrad] += bkg;
}
return projected;
}
};
};
#endif
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