star_rot_lambda_grv2.C

/*
 * Method Star_rot::lambda_grv2.
 *
 * (see file star_rot.h for documentation)
 *
 */

/*
 *   Copyright (c) 2010 Eric Gourgoulhon
 *             (c) 2017 Jerome Novak
 *
 *   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
 *
 */


 

/*
 * $Id: star_rot_lambda_grv2.C,v 1.6 2017/10/20 13:54:20 j_novak Exp $
 * $Log: star_rot_lambda_grv2.C,v $
 * Revision 1.6  2017/10/20 13:54:20  j_novak
 * Now calling C++ function integrale2d instead of old FORTRAN routines.
 *
 * Revision 1.5  2016/12/05 16:18:15  j_novak
 * Suppression of some global variables (file names, loch, ...) to prevent redefinitions
 *
 * Revision 1.4  2014/10/13 08:53:39  j_novak
 * Lorene classes and functions now belong to the namespace Lorene.
 *
 * Revision 1.3  2014/10/06 15:13:17  j_novak
 * Modified #include directives to use c++ syntax.
 *
 * Revision 1.2  2013/06/05 15:10:43  j_novak
 * Suppression of FINJAC sampling in r. This Jacobi(0,2) base is now
 * available by setting colloc_r to BASE_JAC02 in the Mg3d constructor.
 *
 * Revision 1.1  2010/01/25 18:15:52  e_gourgoulhon
 * First version.
 *
 *
 *
 * $Header: /cvsroot/Lorene/C++/Source/Star/star_rot_lambda_grv2.C,v 1.6 2017/10/20 13:54:20 j_novak Exp $
 *
 */

// Headers C
#include <cmath>

// Headers Lorene
#include "star_rot.h"
#include "proto.h"

namespace Lorene {
  double Star_rot::lambda_grv2(const Scalar& sou_m, const Scalar& sou_q) {

    const Map_radial* mprad = dynamic_cast<const Map_radial*>( &sou_m.get_mp() ) ;
    
    if (mprad == 0x0) {
      cout << "Star_rot::lambda_grv2: the mapping of sou_m does not"
       << endl << " belong to the class Map_radial !" << endl ;
      abort() ;
    }   
    
    assert( &sou_q.get_mp() == mprad ) ;
    
    sou_q.check_dzpuis(4) ;
    
    const Mg3d* mg = mprad->get_mg() ;
    int nz = mg->get_nzone() ;
    
    // Construction of a Map_af which coincides with *mp on the equator
    // ----------------------------------------------------------------
    
    double theta0 = M_PI / 2 ;      // Equator
    double phi0 = 0 ;
    
    Map_af mpaff(*mprad) ;
    
    for (int l=0 ; l<nz ; l++) {
      double rmax = mprad->val_r(l, double(1), theta0, phi0) ;
      switch ( mg->get_type_r(l) ) {
      case RARE:    {
    double rmin = mprad->val_r(l, double(0), theta0, phi0) ;
    mpaff.set_alpha(rmax - rmin, l) ;
    mpaff.set_beta(rmin, l) ;
    break ;
      }
    
      case FIN: {
    double rmin = mprad->val_r(l, double(-1), theta0, phi0) ;
    mpaff.set_alpha( double(.5) * (rmax - rmin), l ) ;
    mpaff.set_beta( double(.5) * (rmax + rmin), l) ;
    break ;
      }
    
    
      case UNSURR: {
    double rmin = mprad->val_r(l, double(-1), theta0, phi0) ;
    double umax = double(1) / rmin ;
    double umin = double(1) / rmax ;
    mpaff.set_alpha( double(.5) * (umin - umax),  l) ;
    mpaff.set_beta( double(.5) * (umin + umax), l) ;
    break ;
      }
    
      default: {
    cout << "Star_rot::lambda_grv2: unknown type_r ! " << endl ;
    abort () ;
    break ;
      }
    
      }
    }


    // Reduced Jacobian of
    // the transformation  (r,theta,phi) <-> (dzeta,theta',phi')
    // ------------------------------------------------------------
    
    Mtbl jac = 1 / ( (mprad->xsr) * (mprad->dxdr) ) ;   
    // R/x dR/dx in the nucleus
    // R dR/dx   in the shells
    // - U/(x-1) dU/dx in the ZEC                       
    for (int l=0; l<nz; l++) {
      switch ( mg->get_type_r(l) ) {
      case RARE:    {
    double a1 = mpaff.get_alpha()[l] ;
    *(jac.t[l]) =  *(jac.t[l]) / (a1*a1) ;
    break ;
      }
    
      case FIN: {
    double a1 = mpaff.get_alpha()[l] ;
    double b1 = mpaff.get_beta()[l] ;
    assert( jac.t[l]->get_etat() == ETATQCQ ) ;
    double* tjac = jac.t[l]->t ;
    double* const xi = mg->get_grille3d(l)->x ;
    for (int k=0; k<mg->get_np(l); k++) {
      for (int j=0; j<mg->get_nt(l); j++) {
        for (int i=0; i<mg->get_nr(l); i++) {
          *tjac = *tjac /
        (a1 * (a1 * xi[i] + b1) ) ;
          tjac++ ;  
        }
      }
    }               
    
    break ;
      }
    
    
      case UNSURR: {
    double a1 = mpaff.get_alpha()[l] ;
    *(jac.t[l]) = - *(jac.t[l]) / (a1*a1) ;
    break ;
      }
    
      default: {
    cout << "Star_rot::lambda_grv2: unknown type_r ! " << endl ;
    abort () ;
    break ;
      }
    
      }
      
    }


    // Multiplication of the sources by the reduced Jacobian:
    // -----------------------------------------------------
    
    Mtbl s_m(mg) ;
    if ( sou_m.get_etat() == ETATZERO ) {
      s_m = 0 ;
    }
    else{
      assert(sou_m.get_spectral_va().get_etat() == ETATQCQ) ;   
        sou_m.get_spectral_va().coef_i() ;  
        s_m = *(sou_m.get_spectral_va().c) ;
    }
    
    Mtbl s_q(mg) ;
    if ( sou_q.get_etat() == ETATZERO ) {
      s_q = 0 ;
    }
    else{
      assert(sou_q.get_spectral_va().get_etat() == ETATQCQ) ;   
      sou_q.get_spectral_va().coef_i() ;    
      s_q = *(sou_q.get_spectral_va().c) ;
    }
    
    s_m *= jac ;
    s_q *= jac ;
        
    // Computation of the integrals
    // ----------------------------
    Scalar af_soum(mpaff) ;
    af_soum = s_m ;
    af_soum.std_spectral_base() ;
    af_soum.set_dzpuis(sou_m.get_dzpuis()) ;

    Scalar af_souq(mpaff) ;
    af_souq = s_q ;
    af_souq.std_spectral_base() ;
    af_souq.set_dzpuis(sou_q.get_dzpuis()) ;

    double int_m = integrale2d(af_soum) ;
    double int_q = integrale2d(af_souq) ;

    // Computation of lambda
    // ---------------------

    double lambda ;
    if ( int_q != double(0) ) {
        lambda = - int_m / int_q ;
    }
    else{
        lambda = 0 ;
    }
    
    return lambda ;
    
  }
}