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/*
* Method of class Et_bin_bhns_extr to search the position of the longest
* radius from the position of the maximum enthalpy
* The code returns the position of "phi" only because "xi=1" and
* "theta=pi/2".
*
* (see file et_bin_bhns_extr.h for documentation).
*
*/
/*
* Copyright (c) 2004 Keisuke Taniguchi
*
* 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 et_bin_bhns_extr_phi_C[] = "$Header: /cvsroot/Lorene/C++/Source/Etoile/et_bin_bhns_extr_phi.C,v 1.3 2014/10/13 08:52:55 j_novak Exp $" ;
/*
* $Id: et_bin_bhns_extr_phi.C,v 1.3 2014/10/13 08:52:55 j_novak Exp $
* $Log: et_bin_bhns_extr_phi.C,v $
* Revision 1.3 2014/10/13 08:52:55 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.2 2014/10/06 15:13:08 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.1 2004/11/30 20:50:48 k_taniguchi
* *** empty log message ***
*
*
* $Header: /cvsroot/Lorene/C++/Source/Etoile/et_bin_bhns_extr_phi.C,v 1.3 2014/10/13 08:52:55 j_novak Exp $
*
*/
// C headers
#include <cmath>
// Lorene headers
#include "et_bin_bhns_extr.h"
#include "utilitaires.h"
namespace Lorene {
double Et_bin_bhns_extr::phi_longest_rad(double x_max, double y_max) const {
//----------------------------------------------------------------//
// Construct the surface function S(theta, phi) //
//----------------------------------------------------------------//
// The following is required to access functions of Map_et
Map_et& mp_et = dynamic_cast<Map_et&>(mp) ;
const Valeur& ff0 = mp_et.get_ff() ;
const Valeur& gg0 = mp_et.get_gg() ;
Valeur fff = ff0 ;
Valeur ggg = gg0 ;
Valeur dff = fff.dsdp() ;
Valeur dgg = ggg.dsdp() ;
double ppp = M_PI/2. ; // Initial position of the phi-coordinate
double ptmp ;
int mm ; // Number of steps to the phi-direction
double dp = 1. ; // Step interval to the phi-direction, initialized to 1
double diff ;
double diff_prev ;
double ss ;
while ( dp > 1.e-15 ) {
diff = 1. ;
mm = 0 ;
dp = 0.1 * dp ;
diff_prev = ( dff.val_point(0,1.,M_PI/2.,ppp)
+ dgg.val_point(0,1.,M_PI/2.,ppp) )
* ( 1. + ff0.val_point(0,1.,M_PI/2.,ppp)
+ gg0.val_point(0,1.,M_PI/2.,ppp)
- x_max * cos(ppp) - y_max * sin(ppp) )
- ( 1. + ff0.val_point(0,1.,M_PI/2.,ppp)
+ gg0.val_point(0,1.,M_PI/2.,ppp) )
* ( - x_max * sin(ppp) + y_max * cos(ppp) ) ;
if ( diff_prev > 0. ) {
ss = 1. ;
}
else {
ss = -1. ;
}
while ( diff > 1.e-15 ) {
mm++ ;
ptmp = ppp + mm * dp ;
diff = ss * ( ( dff.val_point(0,1.,M_PI/2.,ptmp)
+ dgg.val_point(0,1.,M_PI/2.,ptmp) )
* ( 1. + ff0.val_point(0,1.,M_PI/2.,ptmp)
+ gg0.val_point(0,1.,M_PI/2.,ptmp)
- x_max * cos(ptmp) - y_max * sin(ptmp) )
- ( 1. + ff0.val_point(0,1.,M_PI/2.,ptmp)
+ gg0.val_point(0,1.,M_PI/2.,ptmp) )
* ( - x_max * sin(ptmp) + y_max * cos(ptmp) ) ) ;
}
ppp += ss * (mm - 1) * dp ;
}
return ppp ;
}
}
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