binary.C

/*
 * Methods of class Binary
 *
 */

/*
 *   Copyright (c) 2004 Francois Limousin
 *
 *   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 Binary_C[] = "$Header: /cvsroot/Lorene/C++/Source/Binary/binary.C,v 1.14 2005/09/15 14:39:14 e_gourgoulhon Exp $" ;

/*
 * $Id: binary.C,v 1.14 2005/09/15 14:39:14 e_gourgoulhon Exp $
 * $Log: binary.C,v $
 * Revision 1.14  2005/09/15 14:39:14  e_gourgoulhon
 * Added printing of angular momentum in display_poly.
 *
 * Revision 1.13  2005/09/13 19:38:31  f_limousin
 * Reintroduction of the resolution of the equations in cartesian coordinates.
 *
 * Revision 1.12  2005/02/24 17:31:27  f_limousin
 * Update of the function decouple().
 *
 * Revision 1.11  2005/02/18 13:14:06  j_novak
 * Changing of malloc/free to new/delete + suppression of some unused variables
 * (trying to avoid compilation warnings).
 *
 * Revision 1.10  2004/07/21 11:47:10  f_limousin
 * Add / Delete comments.
 *
 * Revision 1.9  2004/05/25 14:25:12  f_limousin
 * Add the virial theorem for conformally flat configurations.
 *
 * Revision 1.8  2004/03/25 10:29:01  j_novak
 * All LORENE's units are now defined in the namespace Unites (in file unites.h).
 *
 * Revision 1.7  2004/03/23 10:00:47  f_limousin
 * Minor changes.
 *
 * Revision 1.6  2004/02/27 09:59:33  f_limousin
 * Modification in the routine decouple().
 *
 * Revision 1.5  2004/02/21 17:05:12  e_gourgoulhon
 * Method Scalar::point renamed Scalar::val_grid_point.
 * Method Scalar::set_point renamed Scalar::set_grid_point.
 *
 * Revision 1.4  2004/01/20 15:21:12  f_limousin
 * First version
 *
 *
 * $Header: /cvsroot/Lorene/C++/Source/Binary/binary.C,v 1.14 2005/09/15 14:39:14 e_gourgoulhon Exp $
 *
 */

// Headers C
#include <math.h>

// Headers Lorene
#include "binary.h"
#include "eos.h"
#include "utilitaires.h"
#include "graphique.h"
#include "param.h"
#include "unites.h"     

                //--------------//
                // Constructors //
                //--------------//

// Standard constructor
// --------------------

Binary::Binary(Map& mp1, int nzet1, const Eos& eos1, int irrot1, 
           Map& mp2, int nzet2, const Eos& eos2, int irrot2, 
           int conf_flat) 
                 : star1(mp1, nzet1, eos1, irrot1, conf_flat), 
           star2(mp2, nzet2, eos2, irrot2, conf_flat)
{

    et[0] = &star1 ; 
    et[1] = &star2 ; 
    
    omega = 0 ; 
    x_axe = 0 ; 

    // Pointers of derived quantities initialized to zero :
    set_der_0x0() ;
}

// Copy constructor
// ----------------
Binary::Binary(const Binary& bibi) 
        : star1(bibi.star1), 
          star2(bibi.star2),
          omega(bibi.omega), 
          x_axe(bibi.x_axe) 
{
    et[0] = &star1 ; 
    et[1] = &star2 ; 

    // Pointers of derived quantities initialized to zero :
    set_der_0x0() ;    
}

// Constructor from a file
// -----------------------
Binary::Binary(Map& mp1, const Eos& eos1, Map& mp2, const Eos& eos2, 
           FILE* fich)
        : star1(mp1, eos1, fich), 
          star2(mp2, eos2, fich) 
{
    et[0] = &star1 ; 
    et[1] = &star2 ; 

    // omega and x_axe are read in the file:
    fread_be(&omega, sizeof(double), 1, fich) ;     
    fread_be(&x_axe, sizeof(double), 1, fich) ;     

    // Pointers of derived quantities initialized to zero : 
    set_der_0x0() ;    
    
}           

                //------------//
                // Destructor //
                //------------//

Binary::~Binary(){

    del_deriv() ; 

}

            //----------------------------------//
            // Management of derived quantities //
            //----------------------------------//

void Binary::del_deriv() const {

    if (p_mass_adm != 0x0) delete p_mass_adm ; 
    if (p_mass_kom != 0x0) delete p_mass_kom ; 
    if (p_angu_mom != 0x0) delete p_angu_mom ; 
    if (p_total_ener != 0x0) delete p_total_ener ; 
    if (p_virial != 0x0) delete p_virial ; 
    if (p_ham_constr != 0x0) delete p_ham_constr ; 
    if (p_mom_constr != 0x0) delete p_mom_constr ; 

    set_der_0x0() ; 
}               




void Binary::set_der_0x0() const {

    p_mass_adm = 0x0 ; 
    p_mass_kom = 0x0 ; 
    p_angu_mom = 0x0 ; 
    p_total_ener = 0x0 ; 
    p_virial = 0x0 ; 
    p_ham_constr = 0x0 ; 
    p_mom_constr = 0x0 ; 

}               


                //--------------//
                //  Assignment  //
                //--------------//

// Assignment to another Binary
// --------------------------------

void Binary::operator=(const Binary& bibi) {

    star1 = bibi.star1 ; 
    star2 = bibi.star2 ; 
    
    omega = bibi.omega ; 
    x_axe = bibi.x_axe ; 
    
    del_deriv() ;  // Deletes all derived quantities
    
}

                //--------------//
                //    Outputs   //
                //--------------//

// Save in a file
// --------------
void Binary::sauve(FILE* fich) const {
    
    star1.sauve(fich) ; 
    star2.sauve(fich) ; 
    
    fwrite_be(&omega, sizeof(double), 1, fich) ;        
    fwrite_be(&x_axe, sizeof(double), 1, fich) ;        
    
}

// Printing
// --------
ostream& operator<<(ostream& ost, const Binary& bibi)  {
    bibi >> ost ;
    return ost ;
}
    

ostream& Binary::operator>>(ostream& ost) const {

  using namespace Unites ;

    ost << endl ; 
    ost << "Binary neutron stars" << endl ; 
    ost << "=============" << endl ; 
    ost << endl << 
    "Orbital angular velocity : " << omega * f_unit << " rad/s" << endl ; 
    ost << endl << 
    "Coordinate separation between the two stellar centers : " 
    << separation() / km  << " km" << endl ; 
    ost << 
    "Absolute coordinate X of the rotation axis : " << x_axe / km 
        << " km" << endl ; 
    ost << endl << "Star 1 : " << endl ; 
    ost << "======   " << endl ; 
    ost << star1 << endl ; 
    ost << "Star 2 : " << endl ; 
    ost << "======   " << endl ; 
    ost << star2 << endl ; 
    return ost ;
}

// Display in polytropic units
// ---------------------------

void Binary::display_poly(ostream& ost) const {

  using namespace Unites ;

    const Eos* p_eos1 = &( star1.get_eos() ) ; 
    const Eos_poly* p_eos_poly = dynamic_cast<const Eos_poly*>( p_eos1 ) ;    

    if (p_eos_poly != 0x0) {

    assert( star1.get_eos() == star2.get_eos() ) ; 

    double kappa = p_eos_poly->get_kap() ; 
    double gamma = p_eos_poly->get_gam() ;  ; 
    double kap_ns2 = pow( kappa,  0.5 /(gamma-1) ) ; 
    
    // Polytropic unit of length in terms of r_unit : 
    double r_poly = kap_ns2 / sqrt(ggrav) ; 
    
    // Polytropic unit of time in terms of t_unit :
    double t_poly = r_poly ; 

    // Polytropic unit of mass in terms of m_unit :
    double m_poly = r_poly / ggrav ; 
    
    // Polytropic unit of angular momentum in terms of j_unit :
    double j_poly = r_poly * r_poly / ggrav ; 
    
    ost.precision(10) ; 
    ost << endl << "Quantities in polytropic units : " << endl ; 
    ost  << "==============================" << endl ; 
    ost << " ( r_poly = " << r_poly / km << " km )" << endl ; 
    ost << "  d_e_max   : " << separation() / r_poly << endl ; 
    ost << "  d_G       : " 
         << ( star2.xa_barycenter() - star1.xa_barycenter() ) / r_poly 
         << endl ; 
    ost << "  Omega   : " << omega * t_poly << endl ; 
    ost << "  J   : " << angu_mom()(2) / j_poly << endl ; 
    ost << "  M_ADM   : " << mass_adm() / m_poly << endl ;      
    ost << "  M_Komar : " << mass_kom() / m_poly << endl ; 
    ost << "  M_bar(star 1) : " << star1.mass_b() / m_poly << endl ; 
    ost << "  M_bar(star 2) : " << star2.mass_b() / m_poly << endl ; 
    ost << "  R_0(star 1)   : " << 
    0.5 * ( star1.ray_eq() + star1.ray_eq_pi() ) / r_poly << endl ;  
    ost << "  R_0(star 2)   : " << 
    0.5 * ( star2.ray_eq() + star2.ray_eq_pi() ) / r_poly << endl ;  
    
    }
    

} 


void Binary::fait_decouple () {

    int nz_un = star1.get_mp().get_mg()->get_nzone() ;
    int nz_deux = star2.get_mp().get_mg()->get_nzone() ;
    
    // We determine R_limite :
    double distance = star2.get_mp().get_ori_x() - star1.get_mp().get_ori_x() ;
    cout << "distance = " << distance << endl ;
    double lim_un = distance/2. ;
    double lim_deux = distance/2. ;
    double int_un = distance/6. ;
    double int_deux = distance/6. ;
    
    // The functions used.
    Scalar fonction_f_un (star1.get_mp()) ;
    fonction_f_un = 0.5*pow(
    cos((star1.get_mp().r-int_un)*M_PI/2./(lim_un-int_un)), 2.)+0.5 ;
    fonction_f_un.std_spectral_base();
    
    Scalar fonction_g_un (star1.get_mp()) ;
    fonction_g_un = 0.5*pow
    (sin((star1.get_mp().r-int_un)*M_PI/2./(lim_un-int_un)), 2.) ;
    fonction_g_un.std_spectral_base();
    
    Scalar fonction_f_deux (star2.get_mp()) ;
    fonction_f_deux = 0.5*pow(
    cos((star2.get_mp().r-int_deux)*M_PI/2./(lim_deux-int_deux)), 2.)+0.5 ;
    fonction_f_deux.std_spectral_base();
    
    Scalar fonction_g_deux (star2.get_mp()) ;
    fonction_g_deux = 0.5*pow(
    sin((star2.get_mp().r-int_deux)*M_PI/2./(lim_un-int_deux)), 2.) ;
    fonction_g_deux.std_spectral_base();
    
    // The functions total :
    Scalar decouple_un (star1.get_mp()) ;
    decouple_un.allocate_all() ;
    Scalar decouple_deux (star2.get_mp()) ;
    decouple_deux.allocate_all() ;
    
    Mtbl xabs_un (star1.get_mp().xa) ;
    Mtbl yabs_un (star1.get_mp().ya) ;
    Mtbl zabs_un (star1.get_mp().za) ;
        
    Mtbl xabs_deux (star2.get_mp().xa) ;
    Mtbl yabs_deux (star2.get_mp().ya) ;
    Mtbl zabs_deux (star2.get_mp().za) ;
        
    double xabs, yabs, zabs, air_un, air_deux, theta, phi ;
        
    for (int l=0 ; l<nz_un ; l++) {
    int nr = star1.get_mp().get_mg()->get_nr (l) ;
        
    if (l==nz_un-1)
        nr -- ;
        
    int np = star1.get_mp().get_mg()->get_np (l) ;
    int nt = star1.get_mp().get_mg()->get_nt (l) ;
        
    for (int k=0 ; k<np ; k++)
        for (int j=0 ; j<nt ; j++)
        for (int i=0 ; i<nr ; i++) {
                
            xabs = xabs_un (l, k, j, i) ;
            yabs = yabs_un (l, k, j, i) ;
            zabs = zabs_un (l, k, j, i) ;
                
            // Coordinates of the point
            star1.get_mp().convert_absolute 
            (xabs, yabs, zabs, air_un, theta, phi) ;
            star2.get_mp().convert_absolute 
            (xabs, yabs, zabs, air_deux, theta, phi) ;
        
            if (air_un <= lim_un)
            if (air_un < int_un)
                decouple_un.set_grid_point(l, k, j, i) = 1 ;
            else
            // Close to star 1 :
            decouple_un.set_grid_point(l, k, j, i) = 
                fonction_f_un.val_grid_point(l, k, j, i) ;
            else 
            if (air_deux <= lim_deux)
                if (air_deux < int_deux)
                decouple_un.set_grid_point(l, k, j, i) = 0 ;
                else
            // Close to star 2 :
                decouple_un.set_grid_point(l, k, j, i) = 
        fonction_g_deux.val_point (air_deux, theta, phi) ;
        
            else
                // Far from each star :
                decouple_un.set_grid_point(l, k, j, i) = 0.5 ;
        }
                
        // Case infinity :
        if (l==nz_un-1)
            for (int k=0 ; k<np ; k++)
            for (int j=0 ; j<nt ; j++)
                decouple_un.set_grid_point(nz_un-1, k, j, nr)=0.5 ;
        }
    
    for (int l=0 ; l<nz_deux ; l++) {
    int nr = star2.get_mp().get_mg()->get_nr (l) ;
        
    if (l==nz_deux-1)
        nr -- ;
        
    int np = star2.get_mp().get_mg()->get_np (l) ;
    int nt = star2.get_mp().get_mg()->get_nt (l) ;
        
    for (int k=0 ; k<np ; k++)
        for (int j=0 ; j<nt ; j++)
        for (int i=0 ; i<nr ; i++) {
                
            xabs = xabs_deux (l, k, j, i) ;
            yabs = yabs_deux (l, k, j, i) ;
            zabs = zabs_deux (l, k, j, i) ;
                
            // coordinates of the point  :
            star1.get_mp().convert_absolute 
            (xabs, yabs, zabs, air_un, theta, phi) ;
            star2.get_mp().convert_absolute 
            (xabs, yabs, zabs, air_deux, theta, phi) ;
            
            if (air_deux <= lim_deux)
            if (air_deux < int_deux)
                decouple_deux.set_grid_point(l, k, j, i) = 1 ;
            else
            // close to star two :
            decouple_deux.set_grid_point(l, k, j, i) = 
                fonction_f_deux.val_grid_point(l, k, j, i) ;
            else 
            if (air_un <= lim_un)
                if (air_un < int_un)
                decouple_deux.set_grid_point(l, k, j, i) = 0 ;
                else
            // close to star one :
                decouple_deux.set_grid_point(l, k, j, i) = 
             fonction_g_un.val_point (air_un, theta, phi) ;
        
            else
                // Far from each star :
                decouple_deux.set_grid_point(l, k, j, i) = 0.5 ;
        }
                
        // Case infinity :
        if (l==nz_deux-1)
            for (int k=0 ; k<np ; k++)
            for (int j=0 ; j<nt ; j++)
             decouple_deux.set_grid_point(nz_un-1, k, j, nr)=0.5 ;
   }
   
    decouple_un.std_spectral_base() ;
    decouple_deux.std_spectral_base() ;

    int nr = star1.get_mp().get_mg()->get_nr (1) ;
    int nt = star1.get_mp().get_mg()->get_nt (1) ;
    int np = star1.get_mp().get_mg()->get_np (1) ;
    cout << "decouple_un"  << endl << norme(decouple_un/(nr*nt*np)) << endl ;
    cout << "decouple_deux"  << endl << norme(decouple_deux/(nr*nt*np)) 
     << endl ;

    star1.decouple = decouple_un ;
    star2.decouple = decouple_deux ;
}

void Binary::write_global(ostream& ost) const {

  using namespace Unites ;

  const Map& mp1 = star1.get_mp() ;
  const Mg3d* mg1 = mp1.get_mg() ;
  int nz1 = mg1->get_nzone() ; 

  ost.precision(5) ;
  ost << "# Grid 1 : " << nz1 << "x"
      << mg1->get_nr(0) << "x" << mg1->get_nt(0) << "x" << mg1->get_np(0) 
      << "  R_out(l) [km] : " ;
  for (int l=0; l<nz1; l++) {
    ost << " " << mp1.val_r(l, 1., M_PI/2, 0) / km ; 
  }
  ost << endl ; 

  ost << "#     VE(M)      " << endl ;
  
  
  ost.setf(ios::scientific) ; 
  ost.width(14) ; 
  ost << virial() << endl ;
  
  ost << "#      d [km]         "  
      << "       d_G [km]       "
      << "     d/(a1 +a1')      "
      << "       f [Hz]         "
      << "    M_ADM [M_sol]     "     
      << "    M_ADM_vol [M_sol]     "     
      << "    M_Komar [M_sol]     "     
      << "    M_Komar_vol [M_sol]     "     
      << "   J [G M_sol^2/c]    "  << endl ;   
  
  ost.precision(14) ;
  ost.width(20) ; 
  ost << separation() / km ; ost.width(22) ;
  ost   << ( star2.xa_barycenter() - star1.xa_barycenter() ) / km ; ost.width(22) ;
  ost   << separation() / (star1.ray_eq() + star2.ray_eq()) ; ost.width(22) ;
  ost   << omega / (2*M_PI)* f_unit ; ost.width(22) ;
  ost   << mass_adm() / msol ; ost.width(22) ; 
  ost   << mass_adm_vol() / msol ; ost.width(22) ; 
  ost   << mass_kom() / msol ; ost.width(22) ; 
  ost   << mass_kom_vol() / msol ; ost.width(22) ; 
  ost   << angu_mom()(2)/ ( qpig / (4* M_PI) * msol*msol) << endl ; 
  
  ost << "#     H_c(1)[c^2]     "
      << "    e_c(1)[rho_nuc]   " 
      << "    M_B(1) [M_sol]    "
      << "     r_eq(1) [km]     "
      << "        a2/a1(1)    " 
        << "        a3/a1(1)      " << endl ; 
  
  ost.width(20) ; 
  ost << star1.get_ent().val_grid_point(0,0,0,0) ; ost.width(22) ;
  ost   << star1.get_ener().val_grid_point(0,0,0,0) ; ost.width(22) ;
  ost   << star1.mass_b() / msol ; ost.width(22) ;  
  ost << star1.ray_eq() / km ; ost.width(22) ; 
  ost   << star1.ray_eq_pis2() / star1.ray_eq() ; ost.width(22) ;
  ost   << star1.ray_pole() / star1.ray_eq() << endl ;
  
  ost << "#     H_c(2)[c^2]     "
      << "    e_c(2)[rho_nuc]   " 
      << "    M_B(2) [M_sol]    "
      << "     r_eq(2) [km]     "
      << "        a2/a1(2)    " 
      << "        a3/a1(2)    " << endl ; 
  
  ost.width(20) ; 
  ost << star2.get_ent().val_grid_point(0,0,0,0) ; ost.width(22) ;
  ost   << star2.get_ener().val_grid_point(0,0,0,0) ; ost.width(22) ;
  ost   << star2.mass_b() / msol ; ost.width(22) ;  
  ost << star2.ray_eq() / km ; ost.width(22) ; 
  ost   << star2.ray_eq_pis2() / star1.ray_eq() ; ost.width(22) ;
  ost   << star2.ray_pole() / star1.ray_eq() << endl ;
  
  // Quantities in polytropic units if the EOS is a polytropic one
  // -------------------------------------------------------------
  const Eos* p_eos1 = &( star1.get_eos() ) ; 
  const Eos_poly* p_eos_poly = dynamic_cast<const Eos_poly*>( p_eos1 ) ;      
  
  if ((p_eos_poly != 0x0) && ( star1.get_eos() == star2.get_eos() )) {
      
      double kappa = p_eos_poly->get_kap() ; 
      double gamma = p_eos_poly->get_gam() ;  ; 
      double kap_ns2 = pow( kappa,  0.5 /(gamma-1.) ) ; 
      
      // Polytropic unit of length in terms of r_unit : 
      double r_poly = kap_ns2 / sqrt(ggrav) ; 
      
      // Polytropic unit of time in terms of t_unit :
      double t_poly = r_poly ; 
      
      // Polytropic unit of mass in terms of m_unit :
      double m_poly = r_poly / ggrav ; 
      
      // Polytropic unit of angular momentum in terms of j_unit :
      double j_poly = r_poly * r_poly / ggrav ; 
      
      ost << "#      d [poly]       "  
      << "       d_G [poly]     "
      << "     Omega [poly]     "
      << "     M_ADM [poly]     "     
      << "       J [poly]       "  
      << "    M_B(1) [poly]     "
      << "    M_B(2) [poly]     " << endl ; 
      
      ost.width(20) ; 
      ost << separation() / r_poly ; ost.width(22) ;
      ost << ( star2.xa_barycenter() - star1.xa_barycenter() ) / r_poly ; ost.width(22) ; 
      ost << omega * t_poly ; ost.width(22) ;
      ost << mass_adm() / m_poly ; ost.width(22) ;
      ost << angu_mom()(2) / j_poly ; ost.width(22) ;
      ost << star1.mass_b() / m_poly ; ost.width(22) ;
      ost << star2.mass_b() / m_poly << endl ; 
      
  }
  
}


   
            //-------------------------------//
            //      Miscellaneous        //
            //-------------------------------//

double Binary::separation() const {
    
    double dx = star1.mp.get_ori_x() - star2.mp.get_ori_x() ; 
    double dy = star1.mp.get_ori_y() - star2.mp.get_ori_y() ; 
    double dz = star1.mp.get_ori_z() - star2.mp.get_ori_z() ; 
    
    return sqrt( dx*dx + dy*dy + dz*dz ) ; 
    
}

---