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coolinglib.c
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#include <Python.h>
#include <math.h>
#include <numpy/arrayobject.h>
#define PLANCK 6.6262e-27
#define BOLTZMANN 1.3806e-16
#define PROTONMASS 1.6726e-24
#define TWOPI 6.2831853071795862
#define GAMMA (5.0/3)
#define GAMMA_MINUS1 (GAMMA-1)
/* system */
double dmax(double x, double y);
double dmin(double x, double y);
/* cooling */
void init_from_new_redshift(double Redshift);
double J_0();
double J_nu(double e);
double sigma_rad_HI(double e);
double sigma_rad_HeI(double e);
double sigma_rad_HeII(double e);
double cooling_bremstrahlung_HI(double T);
double cooling_bremstrahlung_HeI(double T);
double cooling_bremstrahlung_HeII(double T);
double cooling_ionization_HI(double T);
double cooling_ionization_HeI(double T);
double cooling_ionization_HeII(double T);
double cooling_recombination_HI(double T);
double cooling_recombination_HeI(double T);
double cooling_recombination_HeII(double T);
double cooling_dielectric_recombination(double T);
double cooling_excitation_HI(double T);
double cooling_excitation_HII(double T);
double cooling_compton(double T);
double A_HII(double T);
double A_HeIId(double T);
double A_HeII(double T);
double A_HeIII(double T);
double G_HI(double T);
double G_HeI(double T);
double G_HeII(double T);
double G_gHI();
double G_gHeI();
double G_gHeII();
double G_gHI_t(double J0);
double G_gHeI_t(double J0);
double G_gHeII_t(double J0);
double G_gHI_w();
double G_gHeI_w();
double G_gHeII_w();
double heating_radiative_HI();
double heating_radiative_HeI();
double heating_radiative_HeII();
double heating_radiative_HI_t(double J0);
double heating_radiative_HeI_t(double J0);
double heating_radiative_HeII_t(double J0);
double heating_radiative_HI_w();
double heating_radiative_HeI_w();
double heating_radiative_HeII_w();
double heating_compton();
void print_cooling(double T,double c1,double c2,double c3,double c4,double c5,double c6,double c7,double c8,double c9,double c10,double c11,double c12,double c13,double h1, double h2, double h3, double h4);
void compute_densities(double T,double X,double* n_H, double* n_HI,double* n_HII,double* n_HEI,double* n_HEII,double* n_HEIII,double* n_E,double* mu);
void compute_cooling_from_T_and_Nh(double T,double X,double n_H,double *c1,double *c2,double *c3,double *c4,double *c5,double *c6,double *c7,double *c8,double *c9,double *c10,double *c11,double *c12,double *c13,double *h1, double *h2, double *h3, double *h4);
double compute_cooling_from_Temperature_and_HydrogenDensity(double Temperature,double HydrogenDensity,double hydrogen_massfrac,double *MeanWeight,double *ElectronDensity);
double compute_cooling_from_Egyspec_and_Density(double Egyspec,double Density,double hydrogen_massfrac,double *MeanWeight);
static double eV = 1.6022000e-12;
static double normfacJ0 = 0.74627;
static double J0min = 1.e-29;
static double alpha = 1.0;
static int Norderweinberg = 7; /* polynom order+1 */
static double coefweinberg[7][6];
static double z;
static double J0;
static double Cte_G_gHI;
static double Cte_G_gHeI;
static double Cte_G_gHeII;
static double Cte_heating_radiative_HI;
static double Cte_heating_radiative_HeI;
static double Cte_heating_radiative_HeII;
/*! returns the maximum of two double
*/
double dmax(double x, double y)
{
if(x > y)
return x;
else
return y;
}
/*! returns the minimum of two double
*/
double dmin(double x, double y)
{
if(x < y)
return x;
else
return y;
}
/*
* init some variables that depends only on redshift
*/
void init_from_new_redshift(double Redshift)
{
/* init weinberg coeff */
coefweinberg[0][0] = -0.31086729929951613e+002;
coefweinberg[1][0] = 0.34803667059463761e+001;
coefweinberg[2][0] = -0.15145716066316397e+001;
coefweinberg[3][0] = 0.54649951450632972e+000;
coefweinberg[4][0] = -0.16395924120387340e+000;
coefweinberg[5][0] = 0.25197466148524143e-001;
coefweinberg[6][0] = -0.15352763785487806e-002;
coefweinberg[0][1] = -0.31887274113252204e+002;
coefweinberg[1][1] = 0.44178493140927095e+001;
coefweinberg[2][1] = -0.20158132553082293e+001;
coefweinberg[3][1] = 0.64080497292269134e+000;
coefweinberg[4][1] = -0.15981267091909040e+000;
coefweinberg[5][1] = 0.22056900050237707e-001;
coefweinberg[6][1] = -0.12837570029562849e-002;
coefweinberg[0][2] = -0.35693331167978656e+002;
coefweinberg[1][2] = 0.20207245722165794e+001;
coefweinberg[2][2] = -0.76856976101363744e-001;
coefweinberg[3][2] = -0.75691470654320359e-001;
coefweinberg[4][2] = -0.54502220282734729e-001;
coefweinberg[5][2] = 0.20633345104660583e-001;
coefweinberg[6][2] = -0.18410307456285177e-002;
coefweinberg[0][3] = -0.56967559787460921e+002;
coefweinberg[1][3] = 0.38601174525546353e+001;
coefweinberg[2][3] = -0.18318926655684415e+001;
coefweinberg[3][3] = 0.67360594266440688e+000;
coefweinberg[4][3] = -0.18983466813215341e+000;
coefweinberg[5][3] = 0.27768907786915147e-001;
coefweinberg[6][3] = -0.16330066969315893e-002;
coefweinberg[0][4] = -0.56977907250821026e+002;
coefweinberg[1][4] = 0.38686249565302266e+001;
coefweinberg[2][4] = -0.13330942368518774e+001;
coefweinberg[3][4] = 0.33988839029092172e+000;
coefweinberg[4][4] = -0.98997915675929332e-001;
coefweinberg[5][4] = 0.16781612113050747e-001;
coefweinberg[6][4] = -0.11514328893746039e-002;
coefweinberg[0][5] = -0.59825233828609278e+002;
coefweinberg[1][5] = 0.21898162706563347e+001;
coefweinberg[2][5] = -0.42982055888598525e+000;
coefweinberg[3][5] = 0.50312144291614215e-001;
coefweinberg[4][5] = -0.61550639239553132e-001;
coefweinberg[5][5] = 0.18017109270959387e-001;
coefweinberg[6][5] = -0.15438891584271634e-002;
z = Redshift;
J0 = J_0();
/* here, we initialize the ctes that uses J_nu(z) */
/* Tessier */
/*
Cte_G_gHI = G_gHI();
Cte_G_gHeI = G_gHeI();
Cte_G_gHeII = G_gHeII();
Cte_heating_radiative_HI = heating_radiative_HI();
Cte_heating_radiative_HeI = heating_radiative_HeI();
Cte_heating_radiative_HeII = heating_radiative_HeII();
*/
/* Theuns */
/*
Cte_G_gHI = G_gHI_t(J0);
Cte_G_gHeI = G_gHeI_t(J0);
Cte_G_gHeII = G_gHeII_t(J0);
Cte_heating_radiative_HI = heating_radiative_HI_t(J0);
Cte_heating_radiative_HeI = heating_radiative_HeI_t(J0);
Cte_heating_radiative_HeII = heating_radiative_HeII_t(J0);
*/
/* Weinberg */
Cte_G_gHI = G_gHI_w();
Cte_G_gHeI = G_gHeI_w();
Cte_G_gHeII = G_gHeII_w();
Cte_heating_radiative_HI = heating_radiative_HI_w();
Cte_heating_radiative_HeI = heating_radiative_HeI_w();
Cte_heating_radiative_HeII = heating_radiative_HeII_w();
}
/*
* J0
*/
double J_0()
{
double Fz;
if (z > 6)
Fz = 0;
else
{
if (z > 3)
Fz = 4/(z+1);
else
{
if (z > 2)
Fz = 1;
else
Fz = pow(((1+z)/3.),3);
}
}
return 1.0e-22*Fz;
}
/*
* UV background intensity
*/
double J_nu(double e)
{
double e_L;
e_L = 13.598*eV;
return (e_L/e)*J_0();
}
/*
* sigma_rad
*/
double sigma_rad_HI(double e)
{
double xxx,alph,e_i;
e_i = 13.598 *eV;
xxx = e/e_i;
alph = sqrt(xxx-1.0);
return 6.30e-18/pow(xxx,4)*exp(4.0-4.0*atan(alph)/alph) /(1.0-exp(-TWOPI/alph));
}
double sigma_rad_HeI(double e)
{
double xxx,alph,e_i;
e_i = 24.587 *eV;
xxx = e/e_i;
alph = sqrt(xxx-1.0);
return 7.42e-18*(1.660/pow(xxx,2.050)-0.660/pow(xxx,3.050));
}
double sigma_rad_HeII(double e)
{
double xxx,alph,e_i;
e_i = 54.416 *eV;
xxx = e/e_i;
alph = sqrt(xxx-1.0);
return 1.58e-18/pow(xxx,4)*exp(4.0-4.0*atan(alph)/alph)/(1.0-exp(-TWOPI/alph));
}
/*
* cooling rates
*/
/* Bremstrahlung */
double cooling_bremstrahlung_HI(double T)
{
return 1.42e-27*sqrt(T)*(1.10+0.340*exp(-pow((5.50-log10(T)),2) /3.0));
}
double cooling_bremstrahlung_HeI(double T)
{
return 1.42e-27*sqrt(T)*(1.10+0.340*exp(-pow((5.50-log10(T)),2) /3.0));
}
double cooling_bremstrahlung_HeII(double T)
{
return 5.68e-27*sqrt(T)*(1.10+0.340*exp(-pow((5.50-log10(T)),2) /3.0));
}
/* Ionization */
double cooling_ionization_HI(double T)
{
double T5;
T5 = T/1e5;
return 2.54e-21*sqrt(T)*exp(-157809.1/T)/(1+sqrt(T5));
}
double cooling_ionization_HeI(double T)
{
double T5;
T5 = T/1e5;
return 1.88e-21*sqrt(T)*exp(-285335.4/T)/(1+sqrt(T5));
}
double cooling_ionization_HeII(double T)
{
double T5;
T5 = T/1e5;
return 9.90e-22*sqrt(T)*exp(-631515.0/T)/(1+sqrt(T5));
}
/* Recombination */
double cooling_recombination_HI(double T)
{
double T3,T6;
T3 = T/1e3;
T6 = T/1e6;
return 8.70e-27*sqrt(T)/pow(T3,0.2)/(1.0+pow(T6,0.7));
}
double cooling_recombination_HeI(double T)
{
return 1.55e-26*pow(T,0.3647);
}
double cooling_recombination_HeII(double T)
{
double T3,T6;
T3 = T/1e3;
T6 = T/1e6;
return 3.48e-26*sqrt(T)/pow(T3,0.2)/(1.0+pow(T6,0.7));
}
/* Dielectric Recombination */
double cooling_dielectric_recombination(double T)
{
return 1.24e-13*pow(T,-1.5)*exp(-470000.0/T)*(1.0+0.3*exp(-94000.0/T));
}
/* Ecitation cooling (line cooling) */
double cooling_excitation_HI(double T)
{
double T5;
T5 = T/1e5;
return 7.50e-19*exp(-118348.0/T)/(1+sqrt(T5));
}
double cooling_excitation_HII(double T)
{
double T5;
T5 = T/1e5;
return 5.54e-17/pow(T,0.397)*exp(-473638.0/T)/(1+sqrt(T5));
}
/* Compton cooling */
double cooling_compton(double T)
{
return 5.406e-36*(T-2.7*(1+z))*pow((1+z),4);
}
/*
* recombination rates (taux_rec)
*/
double A_HII(double T)
{
double T3,T6;
T3 = T/1e3;
T6 = T/1e6;
return 6.30e-11/sqrt(T)/pow(T3,0.2)/(1+pow(T6,0.7));
}
double A_HeIId(double T)
{
return 1.9e-3/pow(T,1.50)*exp(-470000.0/T)*(1.0+0.30*exp(-94000.0/T));
}
double A_HeII(double T)
{
return 1.5e-10/pow(T,0.6353) + A_HeIId(T);
}
double A_HeIII(double T)
{
double T3,T6;
T3 = T/1e3;
T6 = T/1e6;
return 3.36e-10/sqrt(T)/pow(T3,0.2)/(1.0+pow(T6,0.7));
}
/*
* collisional rates (taux_ion)
*/
double G_HI(double T)
{
double T5;
T5 = T/1e5;
return 1.17e-10*sqrt(T)*exp(-157809.1/T)/(1.0+sqrt(T5));
}
double G_HeI(double T)
{
double T5;
T5 = T/1e5;
return 2.38e-11*sqrt(T)*exp(-285335.4/T)/(1.0+sqrt(T5));
}
double G_HeII(double T)
{
double T5;
T5 = T/1e5;
return 5.68e-12*sqrt(T)*exp(-631515.0/T)/(1.0+sqrt(T5));
}
/*
* photoionisation rates (depend only on z)
*/
double G_gHI()
{
double e_i,integ,e,de,error;
e_i = 13.598*eV;
integ = 0.0;
e = e_i;
de = e/100.0;
error = 1.0;
while (error>1.e-6)
{
e = e + de;
de = e/100.0;
error = 2*TWOPI*J_nu(e)*sigma_rad_HI(e)*de/e;
integ = integ + error;
error = error/fabs(integ);
}
return integ/PLANCK;
}
double G_gHeI()
{
double e_i,integ,e,de,error;
e_i = 24.587*eV;
integ = 0.0;
e = e_i;
de = e/100.0;
error = 1.0;
while (error>1.e-6)
{
e = e + de;
de = e/100.0;
error = 2*TWOPI*J_nu(e)*sigma_rad_HeI(e)*de/e;
integ = integ + error;
error = error/fabs(integ);
}
return integ/PLANCK;
}
double G_gHeII()
{
double e_i,integ,e,de,error;
e_i = 54.416*eV;
integ = 0.0;
e = e_i;
de = e/100.0;
error = 1.0;
while (error>1.e-6)
{
e = e + de;
de = e/100.0;
error = 2*TWOPI*J_nu(e)*sigma_rad_HeII(e)*de/e;
integ = integ + error;
error = error/fabs(integ);
}
return integ/PLANCK;
}
double G_gHI_t(double J0)
{
return 1.26e10*J0/(3.0+alpha);
}
double G_gHeI_t(double J0)
{
return 1.48e10*J0*pow(0.5530,alpha) *(1.660/(alpha+2.050)-0.660/(alpha+3.050));
}
double G_gHeII_t(double J0)
{
return 3.34e9*J0*pow(0.2490,alpha)/(3.0+alpha);
}
double G_gHI_w()
{
double taux_rad_weinbergint;
double hh,tt,zz;
int i;
if (z < 8.50)
{
hh=0.0;
zz=dmax(z,1.0e-15);
for (i=0;i<Norderweinberg;i++)
hh=hh+coefweinberg[i][0]*pow(zz,i);
taux_rad_weinbergint=normfacJ0*exp(hh);
}
else
taux_rad_weinbergint=0.0;
tt=G_gHI_t(J0min);
if (taux_rad_weinbergint < tt)
taux_rad_weinbergint=tt;
return taux_rad_weinbergint;
}
double G_gHeI_w()
{
double taux_rad_weinbergint;
double hh,tt,zz;
int i;
if (z < 8.50)
{
hh=0.0;
zz=dmax(z,1.0e-15);
for (i=0;i<Norderweinberg;i++)
hh=hh+coefweinberg[i][1]*pow(zz,i);
taux_rad_weinbergint=normfacJ0*exp(hh);
}
else
taux_rad_weinbergint=0.0;
tt=G_gHeI_t(J0min);
if (taux_rad_weinbergint < tt)
taux_rad_weinbergint=tt;
return taux_rad_weinbergint;
}
double G_gHeII_w()
{
double taux_rad_weinbergint;
double hh,tt,zz;
int i;
if (z < 8.50)
{
hh=0.0;
zz=dmax(z,1.0e-15);
for (i=0;i<Norderweinberg;i++)
hh=hh+coefweinberg[i][2]*pow(zz,i);
taux_rad_weinbergint=normfacJ0*exp(hh);
}
else
taux_rad_weinbergint=0.0;
tt=G_gHeII_t(J0min);
if (taux_rad_weinbergint < tt)
taux_rad_weinbergint=tt;
return taux_rad_weinbergint;
}
/*
* heating rates (depend only on z)
*/
double heating_radiative_HI() /* use J_nu */
{
double e_i,integ,e,de,error;
e_i = 13.598*eV;
integ = 0.0;
e = e_i;
de = e/100.0;
error = 1.0;
while(error>1.e-6)
{
e = e + de;
de = e/100.0;
error = 2.0*TWOPI*J_nu(e)*sigma_rad_HI(e)*(e/e_i-1.0)*de/e;
integ = integ + error;
error=error/fabs(integ);
}
return integ/PLANCK*e_i;
}
double heating_radiative_HeI() /* use J_nu */
{
double e_i,integ,e,de,error;
e_i = 24.587*eV;
integ = 0.0;
e = e_i;
de = e/100.0;
error = 1.0;
while(error>1.e-6)
{
e = e + de;
de = e/100.0;
error = 2.0*TWOPI*J_nu(e)*sigma_rad_HeI(e)*(e/e_i-1.0)*de/e;
integ = integ + error;
error=error/fabs(integ);
}
return integ/PLANCK*e_i;
}
double heating_radiative_HeII() /* use J_nu */
{
double e_i,integ,e,de,error;
e_i = 54.416*eV;
integ = 0.0;
e = e_i;
de = e/100.0;
error = 1.0;
while(error>1.e-6)
{
e = e + de;
de = e/100.0;
error = 2.0*TWOPI*J_nu(e)*sigma_rad_HeII(e)*(e/e_i-1.0)*de/e;
integ = integ + error;
error=error/fabs(integ);
}
return integ/PLANCK*e_i;
}
double heating_radiative_HI_t(double J0) /* use Theuns */
{
return (2.91e-1*J0/(2.0+alpha))/(3.0+alpha);
}
double heating_radiative_HeI_t(double J0) /* use Theuns */
{
return 5.84e-1*J0*pow(0.5530,alpha)*(1.660/(alpha+1.050)-2.320/(alpha+2.050)+0.660/(alpha+3.050));
}
double heating_radiative_HeII_t(double J0) /* use Theuns */
{
return (2.92e-1*J0*pow(0.2490,alpha)/(2.0+alpha))/(3.0+alpha);
}
double heating_radiative_HI_w() /* use weinberg coeff */
{
double heat_rad_weinbergint;
double hh,tt,zz;
int i;
if (z < 8.50)
{
hh=0.0;
zz=dmax(z,1.0e-15);
for (i=0;i<Norderweinberg;i++)
hh=hh+coefweinberg[i][3]*pow(zz,i);
heat_rad_weinbergint=normfacJ0*exp(hh);
}
else
heat_rad_weinbergint=0.0;
tt=heating_radiative_HI_t(J0min);
if (heat_rad_weinbergint < tt)
heat_rad_weinbergint=tt;
return heat_rad_weinbergint;
}
double heating_radiative_HeI_w() /* use weinberg coeff */
{
double heat_rad_weinbergint;
double hh,tt,zz;
int i;
if (z < 8.50)
{
hh=0.0;
zz=dmax(z,1.0e-15);
for (i=0;i<Norderweinberg;i++)
hh=hh+coefweinberg[i][4]*pow(zz,i);
heat_rad_weinbergint=normfacJ0*exp(hh);
}
else
heat_rad_weinbergint=0.0;
tt=heating_radiative_HeI_t(J0min);
if (heat_rad_weinbergint < tt)
heat_rad_weinbergint=tt;
return heat_rad_weinbergint;
}
double heating_radiative_HeII_w() /* use weinberg coeff */
{
double heat_rad_weinbergint;
double hh,tt,zz;
int i;
if (z < 8.50)
{
hh=0.0;
zz=dmax(z,1.0e-15);
for (i=0;i<Norderweinberg;i++)
hh=hh+coefweinberg[i][5]*pow(zz,i);
heat_rad_weinbergint=normfacJ0*exp(hh);
}
else
heat_rad_weinbergint=0.0;
tt=heating_radiative_HeII_t(J0min);
if (heat_rad_weinbergint < tt)
heat_rad_weinbergint=tt;
return heat_rad_weinbergint;
}
double heating_compton()
{
return 5.406e-36*2.726*pow((1+z),5);
}
void compute_densities(double T,double X,double *pn_H, double *pn_HI,double *pn_HII,double *pn_HEI,double *pn_HEII,double *pn_HEIII,double *pn_E,double *pmu)
{
double Y,yy,x1;
double t_rad_HI,t_rec_HI,t_ion_HI;
double t_rad_HEI,t_rec_HEI,t_ion_HEI;
double t_rad_HEII,t_rec_HEII,t_ion_HEII;
double t_ion2_HI,t_ion2_HEI,t_ion2_HEII;
double err_nE;
double n_T;
double n_H,n_HI,n_HII,n_HEI,n_HEII,n_HEIII,n_E,mu;
Y = 1-X;
yy = Y/(4-4*Y);
t_rad_HI = Cte_G_gHI;
t_rec_HI = A_HII(T);
t_ion_HI = G_HI(T);
t_rad_HEI = Cte_G_gHeI;
t_rec_HEI = A_HeII(T);
t_ion_HEI = G_HeI(T);
t_rad_HEII = Cte_G_gHeII;
t_rec_HEII = A_HeIII(T);
t_ion_HEII = G_HeII(T);
n_H = *pn_H;
n_E = n_H;
err_nE = 1.;
while(err_nE > 1.e-8)
{
/* compute densities (Ramses implementation) */
t_ion2_HI = t_ion_HI + t_rad_HI /dmax(n_E,1e-15*n_H);
t_ion2_HEI = t_ion_HEI + t_rad_HEI /dmax(n_E,1e-15*n_H);
t_ion2_HEII = t_ion_HEII + t_rad_HEII/dmax(n_E,1e-15*n_H);
n_HI = t_rec_HI/(t_ion2_HI+t_rec_HI)*n_H;
n_HII = t_ion2_HI/(t_ion2_HI+t_rec_HI)*n_H;
x1 = (t_rec_HEII*t_rec_HEI+t_ion2_HEI*t_rec_HEII+t_ion2_HEII*t_ion2_HEI);
n_HEIII = yy*t_ion2_HEII*t_ion2_HEI/x1*n_H;
n_HEII = yy*t_ion2_HEI *t_rec_HEII/x1*n_H;
n_HEI = yy*t_rec_HEII *t_rec_HEI /x1*n_H;
err_nE = fabs((n_E - (n_HII + n_HEII + 2.*n_HEIII))/n_H);
n_E = 0.5*n_E+0.5*(n_HII + n_HEII + 2.*n_HEIII);
}
n_T = n_HI + n_HII+ n_HEI+ n_HEII+ n_HEIII+ n_E;
mu = n_H/X/n_T;
*pn_H = n_H;
*pn_HI = n_HI;
*pn_HII = n_HII;
*pn_HEI = n_HEI;
*pn_HEII = n_HEII;
*pn_HEIII = n_HEIII;
*pn_E = n_E;
*pmu = mu;
}
void print_cooling(double T,
double c1,double c2,double c3,double c4,double c5,double c6,double c7,double c8,double c9,
double c10,double c11,double c12,double c13,double h1, double h2, double h3, double h4)
{
double ctot,htot,chtot;
ctot = c1+c2+c3+c4+c5+c6+c7+c8+c9+c10+c11+c12+c13;
htot = h1+h2+h3+h4;
chtot= ctot - htot;
printf("%g %g %g %g %g %g %g %g %g %g %g %g %g %g %g %g %g %g %g %g %g\n",T,c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,c11,c12,c13,h1,h2,h3,h4,ctot,htot,chtot);
}
void compute_cooling_from_T_and_Nh(double T,double X,double n_H,
double *c1,double *c2,double *c3,double *c4,double *c5,double *c6,double *c7,double *c8,double *c9,
double *c10,double *c11,double *c12,double *c13,double *h1, double *h2, double *h3, double *h4)
{
double n_HI,n_HII,n_HEI,n_HEII,n_HEIII,n_E,mu;
double nH2;
//double c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,c11,c12,c13;
//double h1,h2,h3,h4;
compute_densities(T,X,&n_H,&n_HI,&n_HII,&n_HEI,&n_HEII,&n_HEIII,&n_E,&mu);
nH2 = n_H*n_H;
/*
* compute cooling
*/
/* Bremstrahlung (cool_bre) */
*c1 = cooling_bremstrahlung_HI(T) *n_E*n_HII /nH2;
*c2 = cooling_bremstrahlung_HeI(T) *n_E*n_HEII /nH2;
*c3 = cooling_bremstrahlung_HeII(T) *n_E*n_HEIII/nH2;
/* Ionization cooling (cool_ion) */
*c4 = cooling_ionization_HI(T) *n_E*n_HI /nH2;
*c5 = cooling_ionization_HeI(T) *n_E*n_HEI /nH2;
*c6 = cooling_ionization_HeII(T) *n_E*n_HEII /nH2;
/* Recombination cooling (cool_rec) */
*c7 = cooling_recombination_HI(T) *n_E*n_HII /nH2;
*c8 = cooling_recombination_HeI(T) *n_E*n_HEII /nH2;
*c9 = cooling_recombination_HeII(T) *n_E*n_HEIII/nH2;
/* Dielectric recombination cooling (cool_die) */
*c10 = cooling_dielectric_recombination(T) *n_E*n_HEII /nH2;
/* Line cooling (cool_exc) */
*c11 = cooling_excitation_HI(T) *n_E*n_HI /nH2;
*c12 = cooling_excitation_HII(T) *n_E*n_HEII /nH2;
/* Compton cooling (cool_com) */
*c13 = cooling_compton(T) *n_E /nH2; /* !! dep on z */
/*
* compute heating
*/
/* Radiative heating (h_rad_spec) */
*h1 = Cte_heating_radiative_HI *n_HI /nH2;
*h2 = Cte_heating_radiative_HeI *n_HEI /nH2;
*h3 = Cte_heating_radiative_HeII *n_HEII /nH2;
/* Compton heating (heat_com) */
*h4 = heating_compton() *n_E /nH2; /* !! dep on z */
}
double compute_cooling_from_Egyspec_and_Density(double Egyspec,double Density,double hydrogen_massfrac,double *MeanWeight)
{
double T,mu,n_H;
double n_HI,n_HII,n_HEI,n_HEII,n_HEIII,n_E;
double err_mu,mu_left,mu_right,mu_old;
int niter;
double c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,c11,c12,c13;
double h1,h2,h3,h4;
double nH2;
/* Hydrogen density (cgs) */
n_H = hydrogen_massfrac * Density/ PROTONMASS;
/* itterate to find the right mu and T */
err_mu=1.;
mu_left=0.5;
mu_right=1.3;
niter=0;
while ( (err_mu > 1.e-4) && (niter <= 50) )
{
mu_old=0.5*(mu_left+mu_right);
/* compute temperature */
T = GAMMA_MINUS1 *mu_old*PROTONMASS/BOLTZMANN *Egyspec;
/* compute all */
compute_densities(T,hydrogen_massfrac,&n_H,&n_HI,&n_HII,&n_HEI,&n_HEII,&n_HEIII,&n_E,&mu);
err_mu = (mu-mu_old)/mu_old;
if(err_mu>0.)
{
mu_left =0.5*(mu_left+mu_right);
mu_right=mu_right;
}
else
{
mu_left =mu_left;
mu_right=0.5*(mu_left+mu_right);
}
err_mu=fabs(err_mu);
niter=niter+1;
}
if (niter > 50)
printf("ERROR : too many iterations.");
*MeanWeight = 0.5*(mu_left+mu_right);
/* now, compute cooling */
nH2 = n_H*n_H;
/*
* compute cooling
*/
/* Bremstrahlung (cool_bre) */
c1 = cooling_bremstrahlung_HI(T) *n_E*n_HII /nH2;
c2 = cooling_bremstrahlung_HeI(T) *n_E*n_HEII /nH2;
c3 = cooling_bremstrahlung_HeII(T) *n_E*n_HEIII/nH2;
/* Ionization cooling (cool_ion) */
c4 = cooling_ionization_HI(T) *n_E*n_HI /nH2;
c5 = cooling_ionization_HeI(T) *n_E*n_HEI /nH2;
c6 = cooling_ionization_HeII(T) *n_E*n_HEII /nH2;
/* Recombination cooling (cool_rec) */
c7 = cooling_recombination_HI(T) *n_E*n_HII /nH2;
c8 = cooling_recombination_HeI(T) *n_E*n_HEII /nH2;
c9 = cooling_recombination_HeII(T) *n_E*n_HEIII/nH2;
/* Dielectric recombination cooling (cool_die) */
c10 = cooling_dielectric_recombination(T) *n_E*n_HEII /nH2;
/* Line cooling (cool_exc) */
c11 = cooling_excitation_HI(T) *n_E*n_HI /nH2;
c12 = cooling_excitation_HII(T) *n_E*n_HEII /nH2;
/* Compton cooling (cool_com) */
c13 = cooling_compton(T) *n_E /nH2; /* !! dep on z */
/*
* compute heating
*/
/* Radiative heating (h_rad_spec) */
h1 = Cte_heating_radiative_HI *n_HI /nH2;
h2 = Cte_heating_radiative_HeI *n_HEI /nH2;
h3 = Cte_heating_radiative_HeII *n_HEII /nH2;
/* Compton heating (heat_com) */
h4 = heating_compton() *n_E /nH2; /* !! dep on z */
/* output info */
//print_cooling(T,c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,c11,c12,c13,h1,h2,h3,h4);
return (c1+c2+c3+c4+c5+c6+c7+c8+c9+c10+c11+c12+c13) - (h1+h2+h3+h4);
}
double compute_cooling_from_Temperature_and_HydrogenDensity(double Temperature,double HydrogenDensity,double hydrogen_massfrac,double *MeanWeight,double *ElectronDensity)
{
double T,mu,n_H;
double n_HI,n_HII,n_HEI,n_HEII,n_HEIII,n_E;
// double err_mu,mu_left,mu_right,mu_old;
// int niter;
double c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,c11,c12,c13;
double h1,h2,h3,h4;
double nH2;
/* Hydrogen density (cgs) */
n_H = HydrogenDensity;
/* Temperature */
T = Temperature;
/* compute all */
compute_densities(T,hydrogen_massfrac,&n_H,&n_HI,&n_HII,&n_HEI,&n_HEII,&n_HEIII,&n_E,&mu);
*MeanWeight = mu;
*ElectronDensity = n_E;
/* now, compute cooling */
nH2 = n_H*n_H;
/*
* compute cooling
*/
/* Bremstrahlung (cool_bre) */
c1 = cooling_bremstrahlung_HI(T) *n_E*n_HII /nH2;
c2 = cooling_bremstrahlung_HeI(T) *n_E*n_HEII /nH2;
c3 = cooling_bremstrahlung_HeII(T) *n_E*n_HEIII/nH2;
/* Ionization cooling (cool_ion) */
c4 = cooling_ionization_HI(T) *n_E*n_HI /nH2;
c5 = cooling_ionization_HeI(T) *n_E*n_HEI /nH2;
c6 = cooling_ionization_HeII(T) *n_E*n_HEII /nH2;
/* Recombination cooling (cool_rec) */
c7 = cooling_recombination_HI(T) *n_E*n_HII /nH2;
c8 = cooling_recombination_HeI(T) *n_E*n_HEII /nH2;
c9 = cooling_recombination_HeII(T) *n_E*n_HEIII/nH2;
/* Dielectric recombination cooling (cool_die) */
c10 = cooling_dielectric_recombination(T) *n_E*n_HEII /nH2;
/* Line cooling (cool_exc) */
c11 = cooling_excitation_HI(T) *n_E*n_HI /nH2;
c12 = cooling_excitation_HII(T) *n_E*n_HEII /nH2;
/* Compton cooling (cool_com) */
c13 = cooling_compton(T) *n_E /nH2; /* !! dep on z */
/*
* compute heating
*/
/* Radiative heating (h_rad_spec) */
h1 = Cte_heating_radiative_HI *n_HI /nH2;
h2 = Cte_heating_radiative_HeI *n_HEI /nH2;
h3 = Cte_heating_radiative_HeII *n_HEII /nH2;
/* Compton heating (heat_com) */
h4 = heating_compton() *n_E /nH2; /* !! dep on z */
/* output info */
//print_cooling(T,c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,c11,c12,c13,h1,h2,h3,h4);
return (c1+c2+c3+c4+c5+c6+c7+c8+c9+c10+c11+c12+c13) - (h1+h2+h3+h4);
}
/*********************************/
/* Cooling function */
/*********************************/
static PyObject *
coolinglib_cooling(self, args)
PyObject *self;
PyObject *args;
{
PyArrayObject *EgySpec;
PyArrayObject *Density;
PyArrayObject *Mu;
PyArrayObject *Lambda;
float Redshift,hydrogen_massfrac;
int i;
double l,MeanWeight;
double e,d;
/* parse arguments */
if (!PyArg_ParseTuple(args, "OOff", &EgySpec,&Density,&hydrogen_massfrac,&Redshift))
return NULL;
/* create output */
Mu = (PyArrayObject *) PyArray_SimpleNew(EgySpec->nd,EgySpec->dimensions,EgySpec->descr->type_num);
Lambda = (PyArrayObject *) PyArray_SimpleNew(EgySpec->nd,EgySpec->dimensions,EgySpec->descr->type_num);
init_from_new_redshift((double)Redshift);
for (i = 0; i < EgySpec->dimensions[0]; i++)
{
e = *(double *)(EgySpec->data + i*(EgySpec->strides[0]));
d = *(double *)(Density->data + i*(Density->strides[0]));
/* compute cooling from EnergySpec and Density */
l = compute_cooling_from_Egyspec_and_Density(e,d,hydrogen_massfrac,&MeanWeight);
*(double *)(Mu->data + i*(Mu->strides[0])) = MeanWeight;
*(double *)(Lambda->data + i*(Lambda->strides[0])) = l;
}
return Py_BuildValue("OO",Mu,Lambda);
}
static PyObject *
coolinglib_cooling_from_nH_and_T(self, args)
PyObject *self;
PyObject *args;
{
PyArrayObject *Temperature;
PyArrayObject *HydrogenDensity;
PyArrayObject *Mu;
PyArrayObject *Ne;
PyArrayObject *Lambda;
float Redshift,hydrogen_massfrac;
int i;
double l,MeanWeight,ElectronDensity;
double T,nH;
/* parse arguments */
if (!PyArg_ParseTuple(args, "OOff", &Temperature,&HydrogenDensity,&hydrogen_massfrac,&Redshift))
return NULL;
/* create output */
Mu = (PyArrayObject *) PyArray_SimpleNew(Temperature->nd,Temperature->dimensions,Temperature->descr->type_num);
Ne = (PyArrayObject *) PyArray_SimpleNew(Temperature->nd,Temperature->dimensions,Temperature->descr->type_num);
Lambda = (PyArrayObject *) PyArray_SimpleNew(Temperature->nd,Temperature->dimensions,Temperature->descr->type_num);
init_from_new_redshift((double)Redshift);
for (i = 0; i < Temperature->dimensions[0]; i++)
{
T = *(double *)(Temperature->data + i*(Temperature->strides[0]));
nH = *(double *)(HydrogenDensity->data + i*(HydrogenDensity->strides[0]));
/* compute cooling from EnergySpec and Density */
l = compute_cooling_from_Temperature_and_HydrogenDensity(T,nH,hydrogen_massfrac,&MeanWeight,&ElectronDensity);
*(double *)(Mu->data + i*(Mu->strides[0])) = MeanWeight;
*(double *)(Ne->data + i*(Ne->strides[0])) = ElectronDensity;
*(double *)(Lambda->data + i*(Lambda->strides[0])) = l;
}
return Py_BuildValue("OOO",Mu,Ne,Lambda);
}
/* definition of the method table */
static PyMethodDef coolinglibMethods[] = {
{"cooling", coolinglib_cooling, METH_VARARGS,
"Return Mu and Lambda. Energy spec and Density must be in cgs."},
{"cooling_from_nH_and_T", coolinglib_cooling_from_nH_and_T, METH_VARARGS,
"Return Mu and Lambda. Temperature and Hydrogen Density must be in cgs."},
{NULL, NULL, 0, NULL} /* Sentinel */
};
void initcoolinglib(void)
{
(void) Py_InitModule("coolinglib", coolinglibMethods);
import_array();
}
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