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/*
Fitting nfw mass profile model
Author: Junhua Gu
Last modification 20120721
*/
#include "nfw.hpp"
#include <core/optimizer.hpp>
#include <core/fitter.hpp>
#include <data_sets/default_data_set.hpp>
#include "chisq.hpp"
#include <methods/powell/powell_method.hpp>
#include <iostream>
#include <fstream>
#include <vector>
#include <string>
using namespace opt_utilities;
using namespace std;
const double cm=1;
const double kpc=3.08568e+21*cm;
const double pi=4*atan(1);
static double calc_critical_density(double z,
const double H0=2.3E-18,
const double Omega_m=.27)
{
const double G=6.673E-8;//cm^3 g^-1 s^2
const double E=std::sqrt(Omega_m*(1+z)*(1+z)*(1+z)+1-Omega_m);
const double H=H0*E;
return 3*H*H/8/pi/G;
}
int main(int argc,char* argv[])
{
if(argc<3)
{
cerr<<"Usage:"<<argv[0]<<" <data file with 4 columns of x, xe, y, ye> <z> [rmin in kpc]"<<endl;
return -1;
}
double rmin_kpc=1;
if(argc>=4)
{
rmin_kpc=atof(argv[3]);
}
double z=0;
z=atof(argv[2]);
//define the fitter
fitter<double,double,vector<double>,double,std::string> fit;
//define the data set
default_data_set<double,double> ds;
//open the data file
ifstream ifs(argv[1]);
//cout<<"read serr 2"<<endl;
ofstream ofs_fit_result("nfw_fit_result.qdp");
ofs_fit_result<<"read serr 1 2"<<endl;
ofs_fit_result<<"skip single"<<endl;
ofs_fit_result<<"line off"<<endl;
ofs_fit_result<<"li on 2"<<endl;
ofs_fit_result<<"li on 4"<<endl;
ofs_fit_result<<"ls 2 on 4"<<endl;
ofs_fit_result<<"win 1"<<endl;
ofs_fit_result<<"yplot 1 2"<<endl;
ofs_fit_result<<"loc 0 0 1 1"<<endl;
ofs_fit_result<<"vie .1 .4 .9 .9"<<endl;
ofs_fit_result<<"la y Mass (solar)"<<endl;
ofs_fit_result<<"log x"<<endl;
ofs_fit_result<<"log y"<<endl;
ofs_fit_result<<"win 2"<<endl;
ofs_fit_result<<"yplot 3 4"<<endl;
ofs_fit_result<<"loc 0 0 1 1"<<endl;
ofs_fit_result<<"vie .1 .1 .9 .4"<<endl;
ofs_fit_result<<"la x radius (kpc)"<<endl;
ofs_fit_result<<"la y chi"<<endl;
ofs_fit_result<<"log x"<<endl;
ofs_fit_result<<"log y off"<<endl;
for(;;)
{
//read radius, temperature and error
double r,re,m,me;
ifs>>r>>re>>m>>me;
if(!ifs.good())
{
break;
}
if(r<rmin_kpc)
{
continue;
}
data<double,double> d(r,m,me,me,re,re);
ofs_fit_result<<r<<"\t"<<re<<"\t"<<m<<"\t"<<me<<endl;
ds.add_data(d);
}
ofs_fit_result<<"no no no"<<endl;
//load data
fit.load_data(ds);
//define the optimization method
fit.set_opt_method(powell_method<double,vector<double> >());
//use chi^2 statistic
fit.set_statistic(chisq<double,double,vector<double>,double,std::string>());
fit.set_model(nfw<double>());
//fit.set_param_value("rs",4);
//fit.set_param_value("rho0",100);
fit.fit();
fit.fit();
vector<double> p=fit.fit();
//output parameters
ofstream ofs_param("nfw_param.txt");
for(int i=0;i<fit.get_num_params();++i)
{
cout<<fit.get_param_info(i).get_name()<<"\t"<<fit.get_param_info(i).get_value()<<endl;
ofs_param<<fit.get_param_info(i).get_name()<<"\t"<<fit.get_param_info(i).get_value()<<endl;
}
cout<<"reduced chi^2="<<fit.get_statistic_value()<<endl;
ofs_param<<"reduced chi^2="<<fit.get_statistic_value()<<endl;
ofstream ofs_model("nfw_dump.qdp");
ofstream ofs_overdensity("overdensity.qdp");
const double G=6.673E-8;//cm^3 g^-1 s^-2
static const double mu=1.4074;
static const double mp=1.67262158E-24;//g
static const double M_sun=1.98892E33;//g
static const double k=1.38E-16;
double xmax=0;
for(double x=std::max(rmin_kpc,ds.get_data(0).get_x());;x+=1)
{
double model_value=fit.eval_model(x,p);
ofs_model<<x<<"\t"<<model_value<<endl;
ofs_fit_result<<x<<"\t0\t"<<model_value<<"\t0"<<endl;
double V=4./3.*pi*pow(x*kpc,3);
double m=model_value*M_sun;
double rho=m/V;//g/cm^3
double over_density=rho/calc_critical_density(z);
ofs_overdensity<<x<<"\t"<<over_density<<endl;
xmax=x;
if(over_density<100)
{
break;
}
}
ofs_fit_result<<"no no no"<<endl;
for(int i=0;i<ds.size();++i)
{
data<double,double> d=ds.get_data(i);
double x=d.get_x();
double y=d.get_y();
double ye=d.get_y_lower_err();
double ym=fit.eval_model(x,p);
ofs_fit_result<<x<<"\t"<<0<<"\t"<<(y-ym)/ye<<"\t"<<1<<endl;
}
ofs_fit_result<<"no no no"<<endl;
for(double x=std::max(rmin_kpc,ds.get_data(0).get_x());x<xmax;x+=1)
{
ofs_fit_result<<x<<"\t"<<0<<"\t"<<0<<"\t"<<0<<endl;
}
}
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