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e_nfwg.c
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Fri, Nov 29, 08:36

e_nfwg.c
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/*modified slightly by djs....10/18/04*/
#include<stdio.h>
#include<math.h>
/*#include<fonction.h>
#include<constant.h>
#include<dimension.h>
#include<structure.h>*/
/****************************************************************/
/* nom: e_nfwg */
/* auteur: Jean-Paul Kneib */
/* date: 09/04 */
/* place: Toulouse */
/****************************************************************/
static double alpha_e;
/*modified declaration to work with my C syntax
double nfwg_dpl(r, rs,kappas,alpha)
double r,rs,kappas,alpha;*/
double nfwg_dpl(double r,double rs,double kappas,double alpha)
{
double scmass(double x);
double qromo(double (*func)(double), double a, double b);
/*JP's declaration
double scmass();
double qromo();*/
double x;
x=r/rs;
alpha_e=alpha;
if ( r !=0.0)
{
return ( kappas*2/r*qromo(scmass,0.0,x));
/* return ( 2*kappas/r*qromo(scmass,0.0,x));
return ( 2*kappas/r*qromb(scmass,0.0,x)); */
}
else
{
return ( 0.);
}
}
/* --------------------------------------------------------------*/
/*JP's declaration
double nfwg_kappa(r,rs,kappas,alpha)
double r,rs,kappas,alpha;*/
double nfwg_kappa(double r,double rs, double kappas, double alpha)
{
double surfdens2(double x, double alpha);
double x;
x=r/rs;
return( kappas*pow(x,1-alpha)*surfdens2(x,alpha) );
}
/* --------------------------------------------------------------*/
/*****comment this out...not needed
double nfwg_kappa_eps(r,rs,theta,kappas,eps,alpha)
double r,rs,theta,kappas,eps,alpha;
{
double kappa_eps;
double nfwg_kappa(),nfwg_gamma();
kappa_eps=nfwg_kappa(r,rs,kappas,alpha)+eps*cos(2*theta)
*nfwg_gamma(r,rs,kappas,alpha);
return(kappa_eps);
}
*****/
/* --------------------------------------------------------------*/
/*****comment this out...not needed
double nfwg_gamma_eps(r,rs,theta,kappas,eps,alpha)
double r,rs,theta,kappas,eps,alpha;
{
double gamma_eps;
double nfwg_dpl(),nfwg_kappa(),nfwg_gamma(),nfwg_kappa_eps();
gamma_eps=sqrt(pow(nfwg_gamma(r,rs,kappas,alpha),2.)+
2*eps*cos(2*theta)*nfwg_kappa(r,rs,kappas,alpha)*nfwg_gamma(r,rs,kappas,alpha)
+eps*eps*(pow(nfwg_kappa(r,rs,kappas,alpha),2.)-
pow(sin(2*theta)*nfwg_gamma(r,rs,kappas,alpha),2.)));
return(gamma_eps);
}
*/
/* --------------------------------------------------------------*/
/*****comment this out...not needed
double nfwg_gamma(r,rs,kappas,alpha)
double r,rs,kappas,alpha;
{
double nfwg_kappa();
double nfwg_dpl();
return( nfwg_dpl(r,rs,kappas,alpha)/r - nfwg_kappa(r,rs,kappas,alpha) );
}
*/
/* --------------------------------------------------------------*/
/* surfdens2 ----------------------------------*/
/*JP's declaration
double surfdens2(x,alpha)
double x,alpha;
*/
double surfdens2(double x, double alpha)
{
int iter=1001;/*number of Simpson's rule steps*/
int i=1;/*loop counter*/
double thetastep;/*step size*/
double th;/*current value of theta*/
double sfdens=0.;/*quantity proportional to the projected surface density*/
thetastep = 3.14156/2.0/(iter-1.0);
th = 0.;
sfdens = thetastep / 3.* pow( 1. + x, alpha - 3. ); /*first and last terms
+of sum*/
for( i = 1 ; i <= (iter-1)/2 - 1 ; i++ )
{
th += thetastep;
sfdens += thetastep * 4./3. * sin(th) * pow( sin(th)+x, alpha-3. );
th += thetastep;
sfdens += thetastep * 2./3. * sin(th) * pow( sin(th)+x, alpha-3. );
}
th += thetastep;
sfdens += thetastep * 4./3. * sin(th) * pow( sin(th)+x, alpha-3. );
/* sfdens = sfdens*2; */
return sfdens;
}
/*scmass */
/*JP's declaration
double scmass(x)
double x;
*/
double scmass(double x)
{
double surfdens2(double x, double alpha);
double scmass_dm;
scmass_dm = pow(x,2.0-alpha_e)*surfdens2(x,alpha_e);
return scmass_dm;
}

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