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/*
Gas density profile derived from nfw mass profile and temperature profile
Author: Junhua Gu
Last modification: 20120721
*/
#ifndef NFW_NE
#define NFW_NE
#include "projector.hpp"
#include <algorithm>
#include <functional>
#include <numeric>
//a series of physical constants
static 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 k=1.60217646E-9;//erg/keV
static const double c=2.99792458E10;//cm/s
namespace opt_utilities
{
//the nfw mass enclosed within a radius r, with parameter rho0 and rs
template <typename T>
T nfw_mass_enclosed(T r,T rho0,T rs)
{
return 4*pi*rho0*rs*rs*rs*(std::log((r+rs)/rs)-r/(r+rs));
}
//average mass density
template <typename T>
T nfw_average_density(T r,T rho0,T rs)
{
if(r==0)
{
return rho0;
}
return nfw_mass_enclosed(r,rho0,rs)/(4.*pi/3*r*r*r);
}
//calculate critical density from z, under following cosmological constants
static double calc_critical_density(double z,
const double H0=2.3E-18,
const double Omega_m=.27)
{
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;
}
//a class wraps method of calculating gas density from mass profile and temperature profile
template <typename T>
class nfw_ne
:public model<std::vector<T>,std::vector<T>,std::vector<T> >
{
private:
//pointer to temperature profile function
func_obj<T,T>* pTfunc;
//cm per pixel
T cm_per_pixel;
public:
//default constructor
nfw_ne()
:pTfunc(0),cm_per_pixel(1)
{
this->push_param_info(param_info<std::vector<T>,std::string>("rho0",1));//in mp
this->push_param_info(param_info<std::vector<T>,std::string>("rs",100));
this->push_param_info(param_info<std::vector<T>,std::string>("n0",.01));
}
//copy constructor
nfw_ne(const nfw_ne& rhs)
:cm_per_pixel(rhs.cm_per_pixel)
{
if(rhs.pTfunc)
{
pTfunc=rhs.pTfunc->clone();
}
else
{
pTfunc=0;
}
//initial parameter list
this->push_param_info(param_info<std::vector<T>,std::string>("rho0",rhs.get_param_info("rho0").get_value()));
this->push_param_info(param_info<std::vector<T>,std::string>("rs",rhs.get_param_info("rs").get_value()));
this->push_param_info(param_info<std::vector<T>,std::string>("n0",rhs.get_param_info("n0").get_value()));
}
//assignment operator
nfw_ne& operator=(const nfw_ne& rhs)
{
cm_per_pixel=rhs.cm_per_pixel;
if(pTfunc)
{
pTfunc->destroy();
}
if(rhs.pTfunc)
{
pTfunc=rhs.pTfunc->clone();
}
}
//destructor
~nfw_ne()
{
if(pTfunc)
{
pTfunc->destroy();
}
}
public:
//attach the temperature profile function
void attach_Tfunc(const func_obj<T,T>& Tf)
{
if(pTfunc)
{
pTfunc->destroy();
}
pTfunc=Tf.clone();
}
//set the cm per pixel value
void set_cm_per_pixel(const T& x)
{
cm_per_pixel=x;
}
//clone self
nfw_ne<T>* do_clone()const
{
return new nfw_ne<T>(*this);
}
//calculate density under parameters p, at radius r
/*
r is a vector, which stores a series of radius values
the annuli or pie regions are enclosed between any two
adjacent radii.
so the returned value has length smaller than r by 1.
*/
std::vector<T> do_eval(const std::vector<T> & r,
const std::vector<T>& p)
{
assert(pTfunc);
//const T kT_erg=k*5;
T rho0=std::abs(p[0])*mp;
T rs=std::abs(p[1]);
T n0=std::abs(p[2]);
T rs_cm=rs*cm_per_pixel;
std::vector<T> yvec(r.size());
const T kT_erg0=pTfunc->eval((r.at(0)+r.at(1))/2)*k;
//calculate the integration
#pragma omp parallel for schedule(dynamic)
for(int i=0;i<r.size();++i)
{
T r_cm=r[i]*cm_per_pixel;
T kT_erg=pTfunc->eval(r[i])*k;
if(abs(r_cm)==0)
{
continue;
}
yvec.at(i)=G*nfw_mass_enclosed(r_cm,rho0,rs_cm)*mu*mp/kT_erg/r_cm/r_cm;
//std::cout<<r_cm/1e20<<"\t"<<nfw_mass_enclosed(r_cm,rho0,rs_cm)/1e45<<std::endl;
//std::cout<<r_cm/1e20<<"\t"<<G*nfw_mass_enclosed(r_cm,rho0,rs_cm)*mu*mp/kT_erg/r_cm/r_cm<<std::endl;
}
std::vector<T> ydxvec(r.size()-1);
#pragma omp parallel for schedule(dynamic)
for(int i=1;i<r.size();++i)
{
T dr=r[i]-r[i-1];
T dr_cm=dr*cm_per_pixel;
ydxvec.at(i-1)=(yvec[i]+yvec[i-1])/2*dr_cm;
}
std::partial_sum(ydxvec.begin(),ydxvec.end(),ydxvec.begin());
//construct the result
std::vector<T> result(r.size()-1);
#pragma omp parallel for schedule(dynamic)
for(int i=0;i<r.size()-1;++i)
{
T y=-ydxvec.at(i);
T kT_erg=pTfunc->eval(r[i])*k;
//std::cout<<y<<std::endl;
result.at(i)=n0*exp(y)*kT_erg0/kT_erg;
}
return result;
}
};
}
#endif
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