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* Definition of Lorene class Metrique
*
*/
/*
* Copyright (c) 1999-2001 Philippe Grandclement
* Copyright (c) 2002 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
*
*/
#ifndef __METRIQUE_H_
#define __METRIQUE_H_
/*
* $Id: metrique.h,v 1.14 2014/10/13 08:52:35 j_novak Exp $
* $Log: metrique.h,v $
* Revision 1.14 2014/10/13 08:52:35 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.13 2003/10/17 13:04:18 f_limousin
* Add new functions get_cov() and get_con().
*
* Revision 1.12 2003/06/20 14:22:20 f_limousin
* The functions set_con() and set_cov() now returns a Tenseur&.
*
* Revision 1.11 2003/03/03 19:13:46 f_limousin
* Add two new methods : set_con() and set_cov().
*
* Revision 1.10 2003/02/12 18:30:18 f_limousin
* Added set_cov and set_con methods
*
* Revision 1.9 2003/02/07 15:41:46 e_gourgoulhon
*
* ### Added a PROVISORY set_cov method ###
*
* Revision 1.8 2002/10/16 14:36:29 j_novak
* Reorganization of #include instructions of standard C++, in order to
* use experimental version 3 of gcc.
*
* Revision 1.7 2002/09/13 09:17:33 j_novak
* Modif. commentaires
*
* Revision 1.6 2002/08/09 15:41:08 j_novak
* New class Metconf added for conformal metric handling.
*
* Revision 1.5 2002/08/08 15:10:44 j_novak
* The flag "plat" has been added to the class Metrique to show flat metrics.
*
* Revision 1.4 2002/08/07 16:14:10 j_novak
* class Tenseur can now also handle tensor densities, this should be transparent to older codes
*
* Revision 1.3 2002/08/02 15:07:41 j_novak
* Member function determinant has been added to the class Metrique.
* A better handling of spectral bases is now implemented for the class Tenseur.
*
* Revision 1.2 2002/06/17 14:05:17 j_novak
* friend functions are now also declared outside the class definition
*
* Revision 1.1.1.1 2001/11/20 15:19:27 e_gourgoulhon
* LORENE
*
* Revision 2.4 2000/02/09 19:28:54 eric
* Ajout de l'argument triad dans le constructeur par lecture de fichier.
*
* Revision 2.3 2000/01/11 11:13:45 eric
* Modif commentaires.
*
* Revision 2.2 2000/01/10 17:21:03 eric
* Modif commentaires.
*
* Revision 2.1 1999/12/07 15:24:50 phil
* ajout include
*
* Revision 2.0 1999/12/02 17:15:40 phil
* *** empty log message ***
*
* Revision 1.1 1999/12/02 17:13:23 phil
* Initial revision
*
*
* $Header: /cvsroot/Lorene/C++/Include/metrique.h,v 1.14 2014/10/13 08:52:35 j_novak Exp $
*
*/
// Headers Lorene
#include "tenseur.h"
#define N_DEPEND 200
namespace Lorene {
/**
* Metric handling.
*
* This class is used to described 3-dimensionnal metrics.
*
* This class includes a dynamical calculation of the Christoffel symbols,
* the Ricci-curvature and the Ricci-scalar.
*
* @version #$Id: metrique.h,v 1.14 2014/10/13 08:52:35 j_novak Exp $#
*/
class Metrique {
// Data :
// -----
protected:
const Map* const mp ; /// Reference mapping.
int etat ; ///Logical state {\tt (ETATZERO, ETATQCQ or ETATNONDEF)}
bool plat ; ///Flag for a flat metric
/**
* Pointer on the contravariant representation.
*/
mutable Tenseur_sym* p_met_con ;
/**
* Pointer on the covariant representation.
*/
mutable Tenseur_sym* p_met_cov ;
// Derived data :
// ------------
/**
* Pointer on the Christoffel symbols.
*/
mutable Tenseur_sym* p_gamma ;
/**
* Pointer on the Ricci curvature.
*/
mutable Tenseur_sym* p_ricci ;
/**
* Pointer on the Ricci scalar.
*/
mutable Tenseur* p_ricci_scal ;
/**
* Pointer on the determinant.
*/
mutable Tenseur* p_determinant ;
/**
* Pointer on the dependancies, that means the array contains pointers
* on all the {\tt Tenseur} whom derivative members have been calculated
* using {\tt *this}.
*/
const Tenseur** dependances ;
// Constructors - Destructor :
// -------------------------
public:
/** Standard constructor.
* Nothing is allocated but {\tt dependances}.
* By default, the {\tt Metrique} is not flat.
*/
explicit Metrique (const Map&, bool plate = false) ;
Metrique (const Metrique&) ; /// Constructor by copy.
/** Constructor from a {\tt Tenseur\_sym} of {\tt valence} = 2.
* One representation is allocated depending on the
* type of {\tt source}. By default, the {\tt Metrique} is not flat.
*/
explicit Metrique (const Tenseur_sym& source, bool plate = false) ;
/** Constructor from a file (see {\tt sauve(FILE* )}).
*
* @param map the mapping
* @param triad_i vectorial basis (triad) with respect to which
* the tensor components are defined. It will
* be checked that it coincides with the basis
* saved in the file.
* @param fich file which has been created by
* the function {\tt sauve(FILE* )}.
*/
Metrique(const Map& map, const Base_vect& triad_i, FILE* fich) ;
virtual ~Metrique() ; /// Destructor
// Memory management
// -----------------
protected:
void del_t() ; /// Logical destructor
virtual void del_deriv() ; /// Logical destructor of the derivative members.
/**
* Sets all the pointer on the derivative members to zero.
*/
virtual void set_der_0x0() ;
/**
* Delete all the derivative members of the {\tt Tenseur} contained in
* {\tt dependances}. Those quantities had been previously
* calculated using {\tt *this}.
*/
void del_dependances() ;
// Mutators / assignment
// ---------------------
public:
/**
* Sets the logical state to {\tt ETATNONDEF} (undefined state).
* Everything is deallocated.
*/
void set_etat_nondef() ;
/**
* Sets the logical state to {\tt ETATZERO} (zero state).
* Everything is deallocated.
*/
void set_etat_zero() ;
/**
* Sets the logical state to {\tt ETATQCQ} (ordinary state).
* The contravariant representation is allocated.
*/
void set_etat_con_qcq() ;
/**
* Sets the logical state to {\tt ETATQCQ} (ordinary state).
* The covariant representation is allocated.
*/
void set_etat_cov_qcq() ;
///Assignment from another {\tt Metrique}.
void operator= (const Metrique&) ;
/**
* Assignment from a {\tt Tenseur\_sym} of {\tt valence =2}.
* The allocated representation depends on the type of {\tt t}.
* All the other members are deleted.
*/
virtual void operator= (const Tenseur_sym& t) ;
/**
* Set the standard spectral basis on the allocated representations.
*/
void set_std_base() ;
/// Sets a component (covariant representation)
Cmp& set_cov(int i, int j) ;
/// Sets a component (contravariant representation)
Cmp& set_con(int i, int j) ;
/// Gets a component (covariant representation)
const Cmp& get_cov(int i, int j) const ;
/// Gets a component (contravariant representation)
const Cmp& get_con(int i, int j) const ;
/// Sets the covariant representation of the metric.
Tenseur_sym& set_cov() ;
/// Sets the contravariant representation of the metric.
Tenseur_sym& set_con() ;
/// Gets the covariant representation of the metric.
const Tenseur_sym& get_cov() const ;
/// Gets the contravariant representation of the metric.
const Tenseur_sym& get_con() const ;
// Accessors
// ---------
public:
/// Returns the contravariant representation.
const Tenseur_sym& con() const ;
/// Returns the covariant representation.
const Tenseur_sym& cov() const ;
/// Returns the Christoffel symbols.
const Tenseur_sym& gamma() const ;
/// Returns the Ricci-curvature.
const Tenseur_sym& ricci() const ;
/// Returns the Ricci-scalar.
const Tenseur& ricci_scal() const ;
/// Returns the determinant.
const Tenseur& determinant() const ;
/// Returns a pointer on the mapping.
const Map* get_mp() const{return mp ; } ;
int get_etat() const{return etat ;} ; /// Returns the logical state.
bool is_flat() const {return plat;} ; ///Is the metric a flat one?
void set_flat(bool plate) {plat = plate;} ;///Sets the flat flag
// Outputs
// -------
public:
virtual void sauve(FILE *) const ; /// Save in a file
friend ostream& operator<<(ostream& , const Metrique & ) ; /// Display.
// Computation of derived members
// ------------------------------
protected:
/**
* Calculates, if needed, the contravariant representation.
* The result is in {\tt *p\_met\_con}.
*/
void fait_con() const ;
/**
* Calculates, if needed, the covariant representation.
* The result is in {\tt *p\_met\_cov}.
*/
void fait_cov() const ;
/**
* Calculates, if needed, the Christoffel symbols.
* The result is in {\tt *p\_gamma}.
*/
virtual void fait_gamma() const ;
/**
* Calculates, if needed, the Ricci-curvature.
* The result is in {\tt *p\_ricci}.
*/
virtual void fait_ricci() const ;
/**
* Calculates, if needed, the Ricci-scalar.
* The result is in {\tt *p\_ricci\_scal}.
*/
virtual void fait_ricci_scal() const ;
/**
* Calculates, if needed, the determinant.
* The result is in {\tt *p\_determinant}.
*/
virtual void fait_determinant() const ;
// Friend classes
// ---------------
friend class Tenseur ; /// Friend class {\tt Tenseur}.
};
ostream& operator<<(ostream& , const Metrique & ) ;
/**
* @name Utilities for {\tt Metrique}
*/
//@{
/**
* Calculates the inverse of {\tt t}, being a {\tt Tenseur\_sym}
* of {\tt valence} = 2.
*/
Tenseur_sym fait_inverse (const Tenseur_sym& t) ;
//@}
}
#endif
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