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/*
* Copyright (c) 2003 CHABBERT Jean-Philippe
*
* This file is part of LORENE.
*
* LORENE is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License version 2
* as published by the Free Software Foundation.
*
* LORENE is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with LORENE; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
char main_C[] = "$Header: /cvsroot/Lorene/Codes/Rot_star/Geodesics/main.C,v 1.2 2014/10/06 15:12:51 j_novak Exp $" ;
/*
* $Id: main.C,v 1.2 2014/10/06 15:12:51 j_novak Exp $
* $Log: main.C,v $
* Revision 1.2 2014/10/06 15:12:51 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.1 2003/02/07 17:31:52 jp_chabbert
* First version with rotstar input data
*
*
*
*
* $Header: /cvsroot/Lorene/Codes/Rot_star/Geodesics/main.C,v 1.2 2014/10/06 15:12:51 j_novak Exp $
*
*/
// C++ headers
// C headers
#include <cstdio>
#include <cmath>
#include "nrutil.h"
// Lorene headers
#include "etoile.h"
#include "eos.h"
#include "headcpp.h"
#include "main.h"
void init(char nfile[],double *y,int *pnmax, double *pre,
char *fmetric,char *fresult)
/* lit le fichier contenant les conditions initiales */
{
int i;
FILE *pfile=fopen(nfile,"r");
double angle,r;
if (pfile == NULL) printf("Erreur d'ouverture du fichier %s\n",nfile);
for (i=1;i<=7;i++) fscanf(pfile,"%lf",&y[i]);
fscanf(pfile,"%i",pnmax);
fscanf(pfile,"%lf",pre);
fscanf(pfile,"%s",fmetric);
fscanf(pfile,"%s",fresult);
angle=y[6]*M_PI/180;
r=y[2];
y[6]=1/sqrt(tan(angle)*tan(angle)/(r*r)+1); /* rp */
y[8]=sign(angle)*sqrt(1-y[6]*y[6]); /* phip */
#ifdef DEBUG
for (i=1;i<=8;i++) printf("%lf ",y[i]);
#endif
fclose(pfile);
}
void calcul_dt( const Etoile_rot& star, double *y )
/* Calcule tp0 tel que ds2=0 */
{
double t,r,theta,phi,rp,thetap,phip,a,b,c,delta,s1,s2;
point p;
/* variables intermediaires */
t=y[1];
r=y[2];
theta=y[3];
phi=y[4];
rp=y[6];
thetap=y[7];
phip=y[8];
/* Lecture coefs metrique */
p=interpol2(r,theta,star);
a=-exp(p.gamma+p.rho)+p.omega*p.omega*exp(p.gamma-p.rho)*r*r*sin(theta)*sin(theta);
b=-2*p.omega*phip*r*r*sin(theta)*sin(theta)*exp(p.gamma-p.rho);
c=phip*phip*r*r*sin(theta)*sin(theta)*exp(p.gamma-p.rho)+exp(2*p.alpha)*(rp*rp+r*r*thetap*thetap);
delta=b*b-4*a*c;
s1=(-b+sqrt(delta))/(2*a);
s2=(-b-sqrt(delta))/(2*a);
printf("delta=%f\ns1=%f s2=%f\n",delta,s1,s2);
y[5]=s2;
}
double ds2( const Etoile_rot& star, double y1[9] , double y2[9] )
/* Calcule le ds^2 */
{
point p;
double dt2,dr2,dtheta2,dphi2,dt,dphi,out,r,theta;
r=y1[2];
theta=y1[3];
p=interpol2(r,theta,star);
dt=(y2[1]-y1[1]);
dt2=dt*dt;
dr2=(y2[2]-y1[2])*(y2[2]-y1[2]);
dtheta2=(y2[3]-y1[3])*(y2[3]-y1[3]);
dphi=(y2[4]-y1[4]);
dphi2=dphi*dphi;
out=-exp(p.gamma+p.rho)*dt2+exp(p.gamma-p.rho)*r*r*sin(theta)*sin(theta)*(dphi-p.omega*dt)*(dphi-p.omega*dt)+exp(2*p.alpha)*(dr2+r*r*dtheta2);
return out;
}
int main (int argc, char **argv)
/* main pour test intgration */
{
FILE *pfile;
/*FILE *ds2_file=fopen("ds2.verif","w");*/
double y[9],yout[9];
double x=0.,h=1e-3,re,r,dd=0.;
int i=0,j,k=0,nmax;
char fmetric[30],fresult[30];
if ( argc != 2 ) printf("Usage: test fichier_init\n");
/* Conditions initiales */
init(argv[1],y,&nmax,&re,fmetric,fresult);
pfile=fopen(fresult,"w");
/* Chargement metrique */
/* met=load_potentials(fmetric); */
FILE* fich = fopen(fmetric, "r") ; // open binary file in readonly
Mg3d mg(fich) ;
Map_et mp(mg, fich) ;
Eos* peos = Eos::eos_from_file(fich) ;
Etoile_rot star(mp, *peos, fich) ;
fclose(fich) ;
star.update_metric() ;
star.equation_of_state() ;
star.hydro_euler() ;
// re=star.ray_eq()*10.;
cout << star << endl;
calcul_dt(star,y);
printf("y5=%f\n",y[5]);
/* integration */
r=re;
/* for (i=0;i<nmax;i++) */
while ( r <= 10*re && i < nmax )
{
rk4(y,8,x,h,yout,star,geodesics);
dd=dd+ds2(star,y,yout);
for(j=1;j<=8;j++) y[j]=yout[j];
#ifdef DEBUG
printf("%i %f %f %f %f %f \n",i,x,y[1],y[2],y[3],y[4]);
#endif
if ( k == 10 )
{
fprintf(pfile,"%+028.20e %+028.20e %+028.20e %+028.20e %+028.20e \n",
x,y[1],y[2],y[3],y[4]);
k=0;
}
x=x+h;
r=y[2];
i++;
k++;
}
dd=dd/i;
fclose(pfile);
/*fclose(ds2_file);*/
printf("%i pas\nr = %f\nds2 moyen = %e\n",i,r,dd);
return EXIT_SUCCESS;
}
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