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* Definition of Lorene class Grille_val, Gval_cart and Gval_spher
*
*/
/*
* Copyright (c) 2001 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 __GRILLE_VAL_H_
#define __GRILLE_VAL_H_
/*
* $Id: grille_val.h,v 1.11 2014/10/13 08:52:35 j_novak Exp $
* $Log: grille_val.h,v $
* Revision 1.11 2014/10/13 08:52:35 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.10 2014/10/06 15:09:39 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.9 2008/02/18 13:53:37 j_novak
* Removal of special indentation instructions.
*
* Revision 1.8 2007/11/02 16:49:12 j_novak
* Suppression of intermediate array for spectral summation.
*
* Revision 1.7 2005/06/22 09:09:38 lm_lin
*
* Grid wedding: convert from the old C++ object "Cmp" to "Scalar".
*
* Revision 1.6 2004/05/07 12:32:12 j_novak
* New summation from spectral to FD grid. Much faster!
*
* Revision 1.5 2004/03/22 13:12:41 j_novak
* Modification of comments to use doxygen instead of doc++
*
* Revision 1.4 2002/11/13 11:22:57 j_novak
* Version "provisoire" de l'interpolation (sommation depuis la grille
* spectrale) aux interfaces de la grille de Valence.
*
* Revision 1.3 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 1.2 2002/06/17 14:05:16 j_novak
* friend functions are now also declared outside the class definition
*
* Revision 1.1 2001/11/22 13:38:09 j_novak
* added Include files for Valencia objects: tbl_val.h and grille_val.h
*
*
* $Header: /cvsroot/Lorene/C++/Include/grille_val.h,v 1.11 2014/10/13 08:52:35 j_novak Exp $
*
*/
#include <cassert>
#include <cmath>
#include "tensor.h"
namespace Lorene {
/**
* Base class for Godunov-type grids. \ingroup (mdm)
*
* Takes into account hidden cells and interfaces between cells,
* in 1,2 or 3D.
* The derived classes stand for spherical and cartesian grids.
* this base class settles quantities for 1D grid, which is minimal
* and independent from the geometry (cartesian or spherical).
* Therefore, the coordinates \e z and \e r are identified.
*
* This is an abstract class (cannot be instanciated).
*
**/
class Grille_val {
/// Arrays defined on Godunov-type grids.
friend class Tbl_val ;
// Data :
// -----
protected:
/// The dimensions of the grid.
Dim_tbl dim ;
/// The number of hidden cells (same on each side)
int nfantome ;
/**
* Type of symmetry in \f$\theta\f$:\li \c SYM -> \f$\theta \to -\theta\f$
* \li \c NONSYM no symmetry
*/
int type_t ;
/**
* Type of symmetry in \f$\phi\f$: \li \c SYM -> \f$(x,y) \to (-x,-y)\f$
* \li \c NONSYM no symmetry
*/
int type_p ;
/// Lower boundary for \e z (or \e r ) direction
double *zrmin;
/// Higher boundary for \e z (or \e r ) direction
double *zrmax ;
public:
/// Arrays containing the values of coordinate \e z (or \e r) on the nodes
Tbl *zr;
/// Arrays containing the values of coordinate \e z (or \e r) on the interfaces
Tbl *zri ;
// Constructors - Destructor
// -------------------------
protected:
/// Auxilliary function used to allocate memory and construct 1D grid
Tbl* fait_grille1D(const double rmin, const double rmax, const int n) ;
/// Standard 1D constructor (the size is to be given without hidden cells)
Grille_val(const double, const double, const int n1,
const int fantome = 2) ;
/// Standard 2D constructor (the sizes are to be given without hidden cells)
Grille_val(const double, const double, const int n2, const int n1,
const int itype_t, const int fantome = 2) ;
/// Standard 3D constructor (the sizes are to be given without hidden cells)
Grille_val(const double, const double, const int n3, const int n2, const
int n1, const int itype_t, const int itype_p, const int
fantome = 2);
/// Copy constructor
Grille_val(const Grille_val& ) ;
/// Constructor from a file (see \c sauve(FILE*) )
Grille_val(FILE* ) ;
/// Destructor
virtual ~Grille_val() ;
// Mutators / assignment
// ---------------------
public:
/// Assignment to another Grille_val
void operator=(const Grille_val&) ;
// Accessors
// ---------
public:
/// Returns the number of hidden cells
int get_fantome() const {
return nfantome ;
} ;
/// Returns the type of symmetry in \f$\theta\f$
int get_type_t() const {
return type_t ;
} ;
/// Returns the type of symmetry in \f$\phi\f$
int get_type_p() const {
return type_p ;
} ;
/// Returns the number of dimensions
int get_ndim() const {
return dim.ndim ;
} ;
/// Returns the size (without hidden cells)
int get_dim(const int i) const {
assert ( (i>=0) && (i<dim.ndim) ) ;
return dim.dim[i] ;
} ;
/// Returns the \c Dim_tbl associated with the grid.
const Dim_tbl* get_dim_tbl() const {
return &dim ;
} ;
/// Read-only of a particular value of the coordinate \e z (or \e r ) at the nodes
double get_zr(const int i) const {
assert (i>= -nfantome) ;
assert (i<dim.dim[0]+nfantome) ;
return zr->t[i+nfantome] ;
} ;
/// Read-only of a particular value of the coordinate \e z (or \e r ) at the interfaces
double get_zri(const int i) const {
assert (i>= -nfantome) ;
assert (i<dim.dim[0]+nfantome+1) ;
return zri->t[i+nfantome] ;
} ;
// Outputs
// -------
public:
/// Save in a file
virtual void sauve(FILE *) const ;
/// Display
friend ostream& operator<<(ostream& , const Grille_val& ) ;
protected:
/// Operator >> (virtual function called by the operator <<).
virtual ostream& operator>>(ostream& ) const ;
// Interpolation
// -------------
public:
/**
* Checks if the spectral grid and mapping are compatible with the
* \c Grille_val caracteristics for the interpolation to be done.
* It checks wether the spectral grid is included in the Godunov one,
* if the numbers of dimensions are the same (1,2 or 3D), and if the
* spectral collocation points in \f$\theta\f$ and \f$\phi\f$ are well
* defined across all the domains (see the documentation of \c
* Tbl_val ).
**/
virtual bool compatible(const Map* mp, const int lmax, const int lmin=0)
const = 0 ;
/**
* Performs 1D interpolation.
* @param rdep [input] the coordinates \e r of the source points
* @param rarr [input] the coordinates \e r of the destination points
* @param fdep [input] values of the function at the source points
* @param flag [input] = 1 used for \c INSMTS -- ought to disappear
* @param type_inter [input] type of interpolation (see \c Tbl_val )
* @return \c Tbl 1D of the same size as rarr, containing the values
* of the function at destination points
**/
Tbl interpol1(const Tbl& rdep, const Tbl& rarr, const Tbl& fdep,
int flag, const int type_inter) const ;
/**
* Performs 2D interpolation.
* @param fdep [input] values of the function at the source points
* @param rarr [input] the coordinates \e r of the destination points
* @param tetarr [input] the coordinates \f$\theta\f$ of the destination points
* @param type_inter [input] type of interpolation (see \c Tbl_val )
* @return Tbl 2D size1:that of rarr, size2: that of tetarr,
* containing the values of the function at destination points.
**/
virtual Tbl interpol2(const Tbl& fdep, const Tbl& rarr,
const Tbl& tetarr, const int type_inter) const = 0 ;
/**
* Performs 3D interpolation.
* @param fdep [input] values of the function at the source points
* @param rarr [input] the coordinates \e r of the destination points
* @param tetarr [input] the coordinates \f$\theta\f$ of the destination points
* @param phiarr [input] the coordinates \f$\phi\f$ of the destination points
* @param type_inter [input] type of interpolation (see \c Tbl_val )
* @return Tbl 3D size1:that of rarr, size2: that of tetarr,
* size3: that of phiarr, containing the values of the function at
* destination points.
**/
virtual Tbl interpol3(const Tbl& fdep, const Tbl& rarr,
const Tbl& tetarr, const Tbl& phiarr,
const int type_inter) const = 0 ;
/**
* Checks if \c Grille_val is contained inside the spectral grid/mapping
* within the domains [lmin, lmax[, if the numbers of dimensions are
* the same (1,2 or 3D), and if the symmetries are compatible.
**/
virtual bool contenue_dans(const Map& mp, const int lmax, const int lmin=0)
const = 0 ;
protected:
/**
* Makes the sommation of the spectral basis functions to know
* the values of the function described by the \c Scalar meudon
* at the points of the 1D Godunov grid \c this .
* The result is an array \c t of size \c taille of all the values of
* the function at \c this grid points.
*/
void somme_spectrale1(const Scalar& meudon, double* t, int taille) const ;
/// Same as before but for the 2D case
virtual void somme_spectrale2(const Scalar& meudon, double* t, int taille) const = 0 ;
/// Same as before but for the 3D case
virtual void somme_spectrale3(const Scalar& meudon, double* t, int taille) const = 0 ;
};
ostream& operator<<(ostream& , const Grille_val& ) ;
//------------------------------------//
// class Gval_cart //
//------------------------------------//
/**
* Class for cartesian Godunov-type grids.\ingroup (mdm)
*
* Can be used for 1D (only z-coordinate), 2D (x and z) or 3D (y,x and z)
* grids. The coordinates of the nodes are stored in \c Tbl 's zr
* (derived from \c Grille_val ),x and y.
* The coordinates of the interfaces are stored in \c Tbl 's zri
* (derived from \c Grille_val ),xi and yi.
* The standard constructors only allow for equally-spaced nodes.
*
**/
class Gval_cart : public Grille_val {
/// Arrays defined on Godunov-type grids.
friend class Tbl_val ;
// Data :
// -----
protected:
/// Lower boundary for \e x dimension
double *xmin ;
/// Higher boundary for \e x dimension
double *xmax ;
/// Lower boundary for \e y dimension
double *ymin ;
/// Higher boundary for \e y dimension
double *ymax ;
public:
/// Arrays containing the values of coordinate \e x on the nodes
Tbl *x ;
/// Arrays containing the values of coordinate \e x on the interfaces
Tbl *xi ;
/// Arrays containing the values of coordinate \e y on the nodes
Tbl *y ;
/// Arrays containing the values of coordinate \e y on the interfaces
Tbl *yi ;
// Constructors - Destructor
// -------------------------
/**
* Standard 1D constructor.
* @param izmin [input] lower \e z boundary
* @param izmax [input] higher \e z boundary
* @param n1 [input] the number of cells (without the hidden ones)
* @param fantome [input] the number of hidden cells on each side
*/
Gval_cart(const double izmin, const double izmax, const int n1,
const int fantome = 2) ;
/**
* Standard 2D constructor.
* @param ixmin [input] lower \e x boundary
* @param ixmax [input] higher \e x boundary
* @param izmin [input] lower \e z boundary
* @param izmax [input] higher \e z boundary
* @param nx [input] the number of cells in \e x direction
* (without the hidden ones)
* @param nz [input] the number of cells in \e z direction
* (without the hidden ones)
* @param type_t [input] the type of symmetry in \f$\theta\f$ (SYM, NONSYM,
* see base class documentation)
* @param fantome [input] the number of hidden cells on each side
*/
Gval_cart(const double ixmin, const double ixmax, const double izmin,
const double izmax, const int nx, const int nz, const int type_t,
const int fantome = 2) ;
/**
* Standard 3D constructor.
* @param iymin [input] lower \e y boundary
* @param iymax [input] higher \e y boundary
* @param ixmin [input] lower \e x boundary
* @param ixmax [input] higher \e x boundary
* @param izmin [input] lower \e z boundary
* @param izmax [input] higher \e z boundary
* @param ny [input] the number of cells in \e y direction
* (without the hidden ones)
* @param nx [input] the number of cells in \e x direction
* (without the hidden ones)
* @param nz [input] the number of cells in \e z direction
* (without the hidden ones)
* @param type_t [input] the type of symmetry in \f$\theta\f$ (SYM, NONSYM,
* see base class documentation)
* @param type_p [input] the type of symmetry in \f$\phi\f$ (SYM, NONSYM,
* see base class documentation)
* @param fantome [input] the number of hidden cells on each side
*/
Gval_cart(const double iymin, const double iymax, const double ixmin,
const double ixmax, const double izmin, const double izmax,
const int ny, const int nx, const int nz, const int itype_t,
const int itype_p, const int fantome = 2);
/// Copy constructor
Gval_cart(const Gval_cart& ) ;
/// Constructor from a file (see \c sauve(FILE*) )
Gval_cart(FILE* ) ;
/// Destructor
virtual ~Gval_cart() ;
// Mutators / assignment
// ---------------------
public:
/// Assignment to another Gval_cart
void operator=(const Gval_cart&) ;
// Accessors
// ---------
public:
/// Read-only of a particular value of the coordinate \e x at the nodes
double get_x(const int i) const {
assert (i>= -nfantome) ;
assert (i<dim.dim[1]+nfantome) ;
assert (dim.ndim >= 2) ;
return (*x)(i+nfantome) ;
} ;
/// Read-only of a particular value of the coordinate \e y at the nodes
double get_y(const int i) const {
assert (i>= -nfantome) ;
assert (i<dim.dim[2]+nfantome) ;
assert (dim.ndim == 3) ;
return (*y)(i+nfantome) ;
} ;
/// Read-only of a particular value of the coordinate \e x at the interfaces
double get_xi(const int i) const {
assert (i>= -nfantome) ;
assert (i<dim.dim[1]+nfantome+1) ;
assert (dim.ndim >= 2) ;
return (*xi)(i+nfantome) ;
} ;
/// Read-only of a particular value of the coordinate \e y at the interfaces
double get_yi(const int i) const {
assert (i>= -nfantome) ;
assert (i<dim.dim[2]+nfantome+1) ;
assert (dim.ndim == 3) ;
return (*yi)(i+nfantome) ;
} ;
/// Returns the lower boundary for x
double get_xmin() const {
return *xmin ;
} ;
/// Returns the higher boundary for x
double get_xmax() const {
return *xmax ;
} ;
/// Returns the lower boundary for y
double get_ymin() const {
return *ymin ;
} ;
/// Returns the higher boundary for x
double get_ymax() const {
return *ymax ;
} ;
// Outputs
// -------
public:
/// Save in a file
virtual void sauve(FILE *) const ;
protected:
/// Operator >> (virtual function called by the operator <<).
virtual ostream& operator>>(ostream& ) const ;
// Interpolation
// -------------
public:
/**
* Checks if the spectral grid and mapping are compatible with the
* \c Grille_val caracteristics for the interpolation to be done.
*
* It checks wether the spectral grid is included in the Godunov one,
* if the numbers of dimensions are the same (1,2 or 3D), and if the
* spectral collocation points in \f$\theta\f$ and \f$\phi\f$ are well
* defined across all the domains (see the documentation of \c Tbl_val .
**/
virtual bool compatible(const Map* mp, const int lmax, const int lmin=0)
const ;
/**
* Performs 2D interpolation.
* @param fdep [input] values of the function at the source points,
* defined as the nodes of the Godunov grid
* @param rarr [input] the coordinates \e r of the destination points
* @param tetarr [input] the coordinates \f$\theta\f$ of the destination points
* @param type_inter [input] type of interpolation (see \c Tbl_val )
* @return Tbl 2D size1:that of rarr, size2: that of tetarr,
* containing the values of the function at destination points.
**/
virtual Tbl interpol2(const Tbl& fdep, const Tbl& rarr,
const Tbl& tetarr, const int type_inter) const ;
/**
* Same as before, but the coordinates of source points are passed
* explicitly (xdep, zdep).
*/
Tbl interpol2c(const Tbl& xdep, const Tbl& zdep, const Tbl& fdep,
const Tbl& rarr, const Tbl& tetarr,
const int type_inter) const ;
/**
* Performs 3D interpolation.
* @param fdep [input] values of the function at the source points
* @param rarr [input] the coordinates \e r of the destination points
* @param tetarr [input] the coordinates \f$\theta\f$ of the destination points
* @param phiarr [input] the coordinates \f$\phi\f$ of the destination points
* @param type_inter [input] type of interpolation (see \c Tbl_val )
* @return Tbl 3D size1:that of rarr, size2: that of tetarr,
* size3: that of phiarr, containing the values of the function at
* destination points.
**/
virtual Tbl interpol3(const Tbl& fdep, const Tbl& rarr,
const Tbl& tetarr, const Tbl& phiarr,
const int type_inter) const ;
/**
* Checks if \c Gval_cart is contained inside the spectral grid/mapping
* within the domains [lmin, lmax[, if the numbers of dimensions are
* the same (1,2 or 3D), and if the symmetries are compatible.
**/
virtual bool contenue_dans(const Map& mp, const int lmax, const int lmin=0)
const ;
protected:
/**
* Makes the sommation of the spectral basis functions to know
* the values of the function described by the \c Scalar meudon
* at the points of the 2D Godunov grid \c this .
* The result is an array \c t of size \c taille of all the values
* of the function at \c this grid points.
*/
virtual void somme_spectrale2(const Scalar& meudon, double* t, int taille) const ;
/// Same as before but for the 3D case
virtual void somme_spectrale3(const Scalar& meudon, double* t, int taille) const ;
};
//------------------------------------//
// class Gval_spher //
//------------------------------------//
/**
* Class for spherical Godunov-type grids.\ingroup (mdm)
*
* Can be used for 1D (only r-coordinate), 2D (\f$\theta\f$ and \e r )
* or 3D (\f$\phi\f$, \f$\theta\f$ and \e r )
* grids. The coordinates of the nodes are stored in \c Tbl 's zr
* (derived from \c Grille_val ),tet and phi.
* The coordinates of the interfaces are stored in \c Tbl 's zri
* (derived from \c Grille_val ),teti and phii.
* The standard constructors only allow for equally-spaced nodes.
*
**/
class Gval_spher : public Grille_val {
/// Arrays defined on Godunov-type grids.
friend class Tbl_val ;
// Data :
// -----
public:
/// Arrays containing the values of coordinate \f$\theta\f$ on the nodes
Tbl *tet ;
/// Arrays containing the values of coordinate \f$\theta\f$ on the interfaces
Tbl *teti ;
/// Arrays containing the values of coordinate \f$\phi\f$ on the nodes
Tbl *phi ;
/// Arrays containing the values of coordinate \f$\phi\f$ on the interfaces
Tbl *phii ;
// Constructors - Destructor
// -------------------------
/**
* Standard 1D constructor.
* @param irmin [input] lower \e r boundary
* @param irmax [input] higher \e r boundary
* @param nr [input] the number of cells (without the hidden ones)
* @param fantome [input] the number of hidden cells on each side
*/
Gval_spher(const double irmin, const double irmax, const int nr,
const int fantome = 2) ;
/**
* Standard 2D constructor.
* @param irmin [input] lower \e r boundary
* @param irmax [input] higher \e r boundary
* @param nt [input] the number of cells in \f$\theta\f$ (without hidden ones)
* @param nr [input] the number of cells in r(without the hidden ones)
* @param type_t [input] the type of symmetry in \f$\theta\f$ (SYM, NONSYM,
* see base class documentation)
* @param fantome [input] the number of hidden cells on each side
*/
Gval_spher(const double irmin, const double irmax, const int nt, const
int nr, const int type_t, const int fantome = 2) ;
/**
* Standard 3D constructor.
* @param irmin [input] lower \e r boundary
* @param irmax [input] higher \e r boundary
* @param np [input] the number of cells in \f$\phi\f$ (without the hidden ones)
* @param nt [input] the number of cells in \f$\theta\f$ (without hidden ones)
* @param nr [input] the number of cells in r(without the hidden ones)
* @param type_t [input] the type of symmetry in \f$\theta\f$ (SYM, NONSYM,
* see base class documentation)
* @param type_p [input] the type of symmetry in \f$\phi\f$ (SYM, NONSYM,
* see base class documentation)
* @param fantome [input] the number of hidden cells on each side
*/
Gval_spher(const double irmin, const double irmax, const int np, const
int nt, const int nr, const int itype_t, const int itype_p,
const int fantome = 2);
/// Copy constructor
Gval_spher(const Gval_spher& ) ;
/// Constructor from a file (see \c sauve(FILE*) )
Gval_spher(FILE* ) ;
/// Destructor
virtual ~Gval_spher() ;
// Mutators / assignment
// ---------------------
public:
/// Assignment to another Gval_spher
void operator=(const Gval_spher&) ;
// Accessors
// ---------
public:
/// Read-only of a particular value of the coordinate \f$\theta\f$ at the nodes
double get_tet(const int i) const {
assert (i>= -nfantome) ;
assert (dim.ndim >= 2) ;
assert (i<dim.dim[1]+nfantome) ;
return tet->t[i+nfantome] ;
} ;
/// Read-only of a particular value of the coordinate \f$\phi\f$ at the nodes
double get_phi(const int i) const {
assert (i>= -nfantome) ;
assert (dim.ndim == 3) ;
assert (i<dim.dim[2]+nfantome) ;
return phi->t[i+nfantome] ;
} ;
/// Read-only of a particular value of coordinate \f$\theta\f$ at the interfaces
double get_teti(const int i) const {
assert (i>= -nfantome) ;
assert (dim.ndim >= 2) ;
assert (i<dim.dim[1]+nfantome+1) ;
return teti->t[i+nfantome] ;
} ;
/// Read-only of a particular value of coordinate \f$\phi\f$ at the interfaces
double get_phii(const int i) const {
assert (i>= -nfantome) ;
assert (dim.ndim == 3) ;
assert (i<dim.dim[2]+nfantome+1) ;
return phii->t[i+nfantome] ;
} ;
// Outputs
// -------
public:
/// Save in a file
virtual void sauve(FILE *) const ;
protected:
/// Operator >> (virtual function called by the operator <<).
virtual ostream& operator>>(ostream& ) const ;
// Interpolation
// -------------
public:
/**
* Checks if the spectral grid and mapping are compatible with the
* \c Grille_val caracteristics for the interpolation to be done.
*
* It checks wether the spectral grid is included in the Godunov one,
* if the numbers of dimensions are the same (1,2 or 3D), and if the
* spectral collocation points in \f$\theta\f$ and \f$\phi\f$ are well
* defined across all the domains (see the documentation of \c Tbl_val .
**/
virtual bool compatible(const Map* mp, const int lmax, const int lmin=0)
const ;
/**
* Performs 2D interpolation.
* @param fdep [input] values of the function at the source points,
* defined as the nodes of the Godunov grid
* @param rarr [input] the coordinates \e r of the destination points
* @param tetarr [input] the coordinates \f$\theta\f$ of the destination points
* @param type_inter [input] type of interpolation (see \c Tbl_val )
* @return Tbl 2D size1:that of rarr, size2: that of tetarr,
* containing the values of the function at destination points.
**/
virtual Tbl interpol2(const Tbl& fdep, const Tbl& rarr, const Tbl& tetarr,
const int type_inter) const ;
/**
* Performs 3D interpolation.
* @param fdep [input] values of the function at the source points
* defined as the nodes of the Godunov grid \c this
* @param rarr [input] the coordinates \e r of the destination points
* @param tetarr [input] the coordinates \f$\theta\f$ of the destination points
* @param phiarr [input] the coordinates \f$\phi\f$ of the destination points
* @param type_inter [input] type of interpolation (see \c Tbl_val )
* @return Tbl 3D size1:that of rarr, size2: that of tetarr,
* size3: that of phiarr, containing the values of the function at
* destination points.
**/
virtual Tbl interpol3(const Tbl& fdep, const Tbl& rarr, const Tbl& tetarr,
const Tbl& phiarr, const int type_inter) const ;
/**
* Checks if \c Gval_spher is contained inside the spectral grid/mapping
* within the domains [lmin, lmax[, if the numbers of dimensions are
* the same (1,2 or 3D), and if the symmetries are compatible.
**/
virtual bool contenue_dans(const Map& mp, const int lmax, const int lmin=0)
const ;
protected:
/**
* Makes the sommation of the spectral basis functions to know
* the values of the function described by the \c Scalar meudon
* at the points of the 2D Godunov grid \c this .
* The result is an array \c t of size \c taille of all the values
* of the function at \c this grid points.
*/
virtual void somme_spectrale2(const Scalar& meudon, double* t, int taille) const ;
/// Same as before but at radial grid interfaces
double* somme_spectrale2ri(const Scalar& meudon) const ;
/// Same as before but at angular grid interfaces
double* somme_spectrale2ti(const Scalar& meudon) const ;
/// Same as before but for the 3D case
virtual void somme_spectrale3(const Scalar& meudon, double* t, int taille) const ;
void initialize_spectral_r(const Map& mp, const Base_val& base, int*& idom,
double*& chebnri) const ;
void initialize_spectral_theta(const Map& mp, const Base_val& base,
double*& tetlj) const ;
void initialize_spectral_phi(const Map& mp, const Base_val& base,
double*& expmk) const ;
};
}
#endif
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