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/*
* Copyright (c) 2000-2001 Philippe Grandclement
*
* 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 as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* 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 bhole_init_kerr_C[] = "$Header: /cvsroot/Lorene/C++/Source/Bhole/bhole_init_kerr.C,v 1.4 2014/10/13 08:52:40 j_novak Exp $" ;
/*
* $Id: bhole_init_kerr.C,v 1.4 2014/10/13 08:52:40 j_novak Exp $
* $Log: bhole_init_kerr.C,v $
* Revision 1.4 2014/10/13 08:52:40 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.3 2014/10/06 15:12:58 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2002/10/16 14:36:32 j_novak
* Reorganization of #include instructions of standard C++, in order to
* use experimental version 3 of gcc.
*
* Revision 1.1.1.1 2001/11/20 15:19:27 e_gourgoulhon
* LORENE
*
* Revision 2.1 2000/12/14 10:45:20 phil
* ATTENTION : PASSAGE DE PHI A PSI
*
* Revision 2.0 2000/10/20 09:18:56 phil
* *** empty log message ***
*
*
* $Header: /cvsroot/Lorene/C++/Source/Bhole/bhole_init_kerr.C,v 1.4 2014/10/13 08:52:40 j_novak Exp $
*
*/
//standard
#include <cstdlib>
#include <cmath>
// Lorene
#include "tenseur.h"
#include "bhole.h"
namespace Lorene {
void Bhole::init_kerr (double masse, double moment) {
// On verifie si le rayon est bien calcule
assert (rayon == sqrt (masse*masse-moment*moment)/2.) ;
// Valeur de omega :
omega = moment/2/masse/(masse+sqrt(masse*masse-moment*moment)) ;
// Calcul de R :
Mtbl grand_r (mp.get_mg()) ;
grand_r = mp.r + (masse*masse-moment*moment)/4/mp.r + masse ;
// Calcul de sigma :
Mtbl sigma (mp.get_mg()) ;
sigma = moment*moment*mp.cost*mp.cost + grand_r*grand_r ;
// Calcul de grand_a :
Cmp grand_a (mp) ;
grand_a = 1 + 2*masse/mp.r +
(3*masse*masse+moment*moment*mp.cost*mp.cost)/2/mp.r/mp.r
+ (2*masse*rayon*rayon)/pow(mp.r, 3.) + pow(rayon/mp.r, 4.) ;
grand_a.set_val_inf(1) ;
grand_a.std_base_scal() ;
grand_a.raccord(1) ;
// Calcul de n_phi :
Cmp n_phi(mp) ;
n_phi = (2*moment*masse*grand_r) / (sigma*(grand_r*grand_r+moment*moment)
+ 2*moment*moment*masse*grand_r*mp.sint*mp.sint) ;
n_phi.annule(0) ;
n_phi.set_val_inf (0) ;
n_phi.std_base_scal() ;
// Calcul de N :
Cmp carre (mp) ;
carre = 1-(2*masse*grand_r)/sigma + (4*moment*moment*masse*masse
*grand_r*grand_r*mp.sint*mp.sint)/
(sigma*sigma*(grand_r*grand_r+moment*moment)+2*moment*moment*sigma*masse*
grand_r*mp.sint*mp.sint) ;
carre.set_val_inf(1) ;
carre.set_val_hor(0, 1) ;
carre.std_base_scal() ;
carre.annule(0) ;
n_auto.set_etat_qcq() ;
n_auto.set() = sqrt(carre) ;
n_auto.set().set_dzpuis(0) ;
n_auto.set_std_base() ;
n_auto.set().raccord(1) ;
// Calcul de psi :
psi_auto.set_etat_qcq() ;
psi_auto.set() = pow(grand_a, 0.25) ;
psi_auto.set().set_dzpuis(0) ;
psi_auto.set_std_base() ;
psi_auto.set().raccord(1) ;
// Calcul du shift :
shift_auto.set_etat_qcq() ;
shift_auto.set_std_base() ;
Valeur auxi (mp.get_mg()) ;
auxi = n_phi.va.mult_st().mult_sp() ;
shift_auto.set(0) = auxi ;
auxi = -n_phi.va.mult_st().mult_cp() ;
shift_auto.set(1) = auxi ;
shift_auto.set(2).set_etat_zero() ;
shift_auto.inc_dzpuis() ;
for (int i=0 ; i<2 ; i++) {
shift_auto.set(i).mult_r() ;
shift_auto.set(i).raccord(1) ;
assert (shift_auto(i).check_dzpuis (0)) ;
}
}
}
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