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e_nfwtri.c
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Sun, Dec 29, 11:26

e_nfwtri.c
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#include<stdio.h>
#include<math.h>
#include<fonction.h>
#include<constant.h>
#include<dimension.h>
#include<structure.h>
/****************************************************************/
/* nom: e_nfwtri */
/* auteur: TV & EJ */
/* date: 2012 */
/* place: */
/****************************************************************
*
* Adding triaxiality in the NFW profile
* following Oguri, Lee & Suto 2003 (OLS03)
*
*/
/* --------------------------------------------------------------*
* Return Eq. 28, A value (OLS03)
*/
double AA_tri(const struct pot *ilens)
{
double AA_tri1,AA_tri2,AA_tri3,AA_tri4, AA_tri;
AA_tri1 = cos(ilens->theta)*cos(ilens->theta);
AA_tri2 = (1./ilens->epot)*(1./ilens->epot)*sin(ilens->phi)*sin(ilens->phi);
AA_tri3 = (1./ilens->emass)*(1./ilens->emass)*cos(ilens->phi)*cos(ilens->phi);
AA_tri4 = (1./ilens->epot)*(1./ilens->epot)*(1./ilens->emass)*(1./ilens->emass)*sin(ilens->theta)*sin(ilens->theta);
AA_tri = AA_tri1*(AA_tri2+AA_tri3) + AA_tri4;
return (AA_tri);
}
/* --------------------------------------------------------------*
* Return Eq. 29, B value (OLS03)
*/
double BB_tri(const struct pot *ilens)
{
double BB_tri1,BB_tri2,BB_tri3, BB_tri;
BB_tri1 = cos(ilens->theta)*sin(2.*(ilens->phi));
BB_tri2 = (1./ilens->epot)*(1./ilens->epot);
BB_tri3 = (1./ilens->emass)*(1./ilens->emass);
BB_tri = BB_tri1*(BB_tri2 - BB_tri3);
return (BB_tri);
}
/* --------------------------------------------------------------*
* Return Eq. 30, C value (OLS03)
*/
double CC_tri(const struct pot *ilens)
{
double CC_tri1,CC_tri2, CC_tri;
CC_tri1 = (1./ilens->emass)*(1./ilens->emass)*sin(ilens->phi)*sin(ilens->phi);
CC_tri2 = (1./ilens->epot)*(1./ilens->epot)*cos(ilens->phi)*cos(ilens->phi);
CC_tri = CC_tri1 + CC_tri2;
return (CC_tri);
}
/* --------------------------------------------------------------*
* Return Eq. 31, Psi value (OLS03)
*/
double Psi_tri(const struct pot *ilens)
{
double Psi_tri;
Psi_tri = (1./2.)*atan( BB_tri(ilens)/( AA_tri(ilens)-CC_tri(ilens) ) );
return (Psi_tri);
}
/* --------------------------------------------------------------*
* Return the ellipticity of the projected ellipsoids, i.e. the ellipticities of the ellipses
*/
double elli_tri(const struct pot *ilens)
{
double elli_tri1,elli_tri2, elli_tri;
elli_tri1 = 1./( AA_tri(ilens)+CC_tri(ilens)-sqrt((AA_tri(ilens)-CC_tri(ilens))*(AA_tri(ilens)-CC_tri(ilens))+BB_tri(ilens)*BB_tri(ilens)) );
elli_tri2 = 1./( AA_tri(ilens)+CC_tri(ilens)+sqrt((AA_tri(ilens)-CC_tri(ilens))*(AA_tri(ilens)-CC_tri(ilens))+BB_tri(ilens)*BB_tri(ilens)) );
elli_tri = (elli_tri1-elli_tri2)/(elli_tri1+elli_tri2);
return (elli_tri);
}
/* --------------------------------------------------------------*
* Return the 2D concentration, acording to Jing & Suto 2002
*/
void e_nfw_c3D2c2D(double c3D,double *c2D)
{
*c2D = c3D/0.45;
}

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