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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