proto.h
/*
* Prototypes of non class-member functions
*
*/
/*
* Copyright (c) 1999-2000 Jean-Alain Marck
* Copyright (c) 1999-2001 Philippe Grandclement
* Copyright (c) 1999-2002 Eric Gourgoulhon
* Copyright (c) 2002-2003 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 __PROTO_H_
#define __PROTO_H_
/*
* $Id: proto.h,v 1.51 2014/10/13 08:52:36 j_novak Exp $
* $Log: proto.h,v $
* Revision 1.51 2014/10/13 08:52:36 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.50 2013/06/13 14:18:18 j_novak
* Inclusion of new bases R_LEG, R_LEGP and R_LEGI.
*
* Revision 1.49 2013/06/06 15:31:31 j_novak
* Functions to compute Legendre coefficients (not fully tested yet).
*
* Revision 1.48 2013/06/05 15:06:10 j_novak
* Legendre bases are treated as standard bases, when the multi-grid
* (Mg3d) is built with BASE_LEG.
*
* Revision 1.47 2010/10/22 08:08:40 j_novak
* Removal of the method Star_rot_dirac::lambda_grv2() and call to the C++ version of integrale2d.
*
* Revision 1.46 2010/01/20 14:53:50 n_vasset
* Adding spectral cutoff functions for use in elliptic tensor equations.
*
* Revision 1.45 2009/10/23 12:55:46 j_novak
* New base T_LEG_MI
*
* Revision 1.44 2009/10/13 13:50:39 j_novak
* New base T_LEG_MP.
*
* Revision 1.43 2009/08/31 19:39:07 n_vasset
* removal of obsolete function get_kerr()
*
* Revision 1.42 2008/11/27 12:12:38 j_novak
* New function to initialize parameters for wave equation.
*
* Revision 1.41 2008/08/20 11:51:25 n_vasset
* new functions to solve the Kerr problem, using degenerate elliptic operators
*
* Revision 1.40 2008/08/19 06:41:59 j_novak
* Minor modifications to avoid warnings with gcc 4.3. Most of them concern
* cast-type operations, and constant strings that must be defined as const char*
*
* Revision 1.39 2008/07/18 12:28:41 j_novak
* Corrected some mistakes.
*
* Revision 1.38 2008/07/18 09:17:35 j_novak
* New function tilde_laplacian().
*
* Revision 1.37 2008/07/11 13:20:08 j_novak
* Miscellaneous functions for the system wave equation.
*
* Revision 1.36 2008/07/10 10:34:35 p_grandclement
* forgot this one
*
* Revision 1.35 2007/12/11 15:28:05 jl_cornou
* Jacobi(0,2) polynomials partially implemented
*
* Revision 1.34 2007/05/06 10:48:08 p_grandclement
* Modification of a few operators for the vorton project
*
* Revision 1.33 2007/01/23 17:08:43 j_novak
* New function pois_vect_r0.C to solve the l=0 part of the vector Poisson
* equation, which involves only the r-component.
*
* Revision 1.32 2006/04/27 09:12:29 p_grandclement
* First try at irrotational black holes
*
* Revision 1.31 2006/04/10 15:19:18 j_novak
* New definition of 1D operators dsdx and sx in the nucleus (bases R_CHEBP and
* R_CHEBI).
*
* Revision 1.30 2005/11/30 11:09:03 p_grandclement
* Changes for the Bin_ns_bh project
*
* Revision 1.29 2005/08/26 14:02:38 p_grandclement
* Modification of the elliptic solver that matches with an oscillatory exterior solution
* small correction in Poisson tau also...
*
* Revision 1.28 2005/06/09 07:56:25 f_limousin
* Implement a new function sol_elliptic_boundary() and
* Vector::poisson_boundary(...) which solve the vectorial poisson
* equation (method 6) with an inner boundary condition.
*
* Revision 1.27 2005/05/13 08:50:29 j_novak
* Added the function int1d_chebi.
*
* Revision 1.26 2005/02/16 15:04:07 m_forot
* Add int1D_cheb function
*
* Revision 1.25 2005/02/08 10:08:57 f_limousin
* Add neumann_binaire(...), dirichlet_binaire(...) and
* poisson_vect_binaire(...) with Scalars and Vectors in argument.
*
* Revision 1.24 2004/12/17 13:35:00 m_forot
* Add the case T_LEG
*
* Revision 1.23 2004/11/23 15:05:40 m_forot
* Added prototypes for all new functions in the case there is no
* symmetry in theta.
*
* Revision 1.22 2004/09/28 15:59:47 f_limousin
* Add function poisson_vect_boundary which is the same as
* poisson_vect_frontiere but for the new classes Tensor and Scalar.
*
* Revision 1.21 2004/08/24 09:14:40 p_grandclement
* Addition of some new operators, like Poisson in 2d... It now requieres the
* GSL library to work.
*
* Also, the way a variable change is stored by a Param_elliptic is changed and
* no longer uses Change_var but rather 2 Scalars. The codes using that feature
* will requiere some modification. (It should concern only the ones about monopoles)
*
* Revision 1.20 2004/06/22 08:49:57 p_grandclement
* Addition of everything needed for using the logarithmic mapping
*
* Revision 1.19 2004/03/17 15:58:47 p_grandclement
* Slight modification of sol_elliptic_no_zec
*
* Revision 1.18 2004/02/17 09:21:38 j_novak
* New functions for calculating values of the derivatives of a function
* using its Chebyshev coefficients.
*
* Revision 1.17 2004/02/11 09:47:44 p_grandclement
* Addition of a new elliptic solver, matching with the homogeneous solution
* at the outer shell and not solving in the external domain (more details
* coming soon ; check your local Lorene dealer...)
*
* Revision 1.16 2004/02/09 08:55:30 j_novak
* Corrected error in the arguments of _solp_r_chebu_cinq
*
* Revision 1.15 2004/02/06 10:53:51 j_novak
* New dzpuis = 5 -> dzpuis = 3 case (not ready yet).
*
* Revision 1.14 2004/01/28 16:46:22 p_grandclement
* Addition of the sol_elliptic_fixe_der_zero stuff
*
* Revision 1.13 2004/01/15 09:15:36 p_grandclement
* Modification and addition of the Helmholtz operators
*
* Revision 1.12 2003/12/11 14:48:47 p_grandclement
* Addition of ALL (and that is a lot !) the files needed for the general elliptic solver ... UNDER DEVELOPEMENT...
*
* Revision 1.11 2003/09/16 13:07:40 j_novak
* New files for coefficient trnasformation to/from the T_LEG_II base.
*
* Revision 1.10 2003/09/16 08:53:05 j_novak
* Addition of the T_LEG_II base (odd in theta, only for odd m) and the
* transformation functions from and to T_SIN_P.
*
* Revision 1.9 2003/06/18 08:45:26 j_novak
* In class Mg3d: added the member get_radial, returning only a radial grid
* For dAlembert solver: the way the coefficients of the operator are defined has been changed.
*
* Revision 1.8 2003/02/13 16:40:24 p_grandclement
* Addition of various things for the Bin_ns_bh project, non of them being
* completely tested
*
* Revision 1.7 2002/11/12 17:45:19 j_novak
* Added transformation function for T_COS basis.
*
* Revision 1.6 2002/09/09 13:00:39 e_gourgoulhon
* Modification of declaration of Fortran 77 prototypes for
* a better portability (in particular on IBM AIX systems):
* All Fortran subroutine names are now written F77_* and are
* defined in the new file C++/Include/proto_f77.h.
*
* Revision 1.5 2002/05/11 12:39:08 e_gourgoulhon
* Added declaration of som_tet_cossin_si.
*
* Revision 1.4 2002/05/05 16:24:48 e_gourgoulhon
* Added som_tet_cossin_sp
*
* Revision 1.3 2002/01/03 15:30:27 j_novak
* Some comments modified.
*
* Revision 1.2 2002/01/02 14:07:56 j_novak
* Dalembert equation is now solved in the shells. However, the number of
* points in theta and phi must be the same in each domain. The solver is not
* completely tested (beta version!).
*
* Revision 1.1.1.1 2001/11/20 15:19:27 e_gourgoulhon
* LORENE
*
* Revision 2.69 2001/05/07 09:11:26 phil
* *** empty log message ***
*
* Revision 2.68 2001/04/03 12:41:23 phil
* modification de itemax dans separation
*
* Revision 2.67 2001/03/22 10:40:13 phil
* modification prototypage se separation
*
* Revision 2.66 2001/03/02 10:21:26 phil
* *** empty log message ***
*
* Revision 2.65 2001/03/02 10:18:47 phil
* modif parametrage separation
*
* Revision 2.64 2001/02/28 11:23:30 phil
* ajout separation
*
* Revision 2.63 2001/01/29 14:30:10 phil
* ajout type rotation
*
* Revision 2.62 2000/12/13 15:42:14 phil
* ajout des trucs relatifs a Lindquist
*
* Revision 2.61 2000/12/04 13:33:28 novak
* *** empty log message ***
*
* Revision 2.60 2000/12/04 13:29:08 novak
* Added prototypes for the dalembertian
*
* Revision 2.59 2000/10/19 10:07:49 phil
* ajout de regle
*
* Revision 2.58 2000/10/19 09:35:44 phil
* *** empty log message ***
*
* Revision 2.57 2000/10/04 14:40:34 eric
* *** empty log message ***
*
* Revision 2.56 2000/09/29 14:02:06 eric
* *** empty log message ***
*
* Revision 2.55 2000/09/28 10:01:36 eric
* *** empty log message ***
*
* Revision 2.54 2000/09/08 16:26:26 eric
* *** empty log message ***
*
* Revision 2.53 2000/09/08 16:07:43 eric
* *** empty log message ***
*
* Revision 2.52 2000/09/07 15:07:40 eric
* *** empty log message ***
*
* Revision 2.51 2000/09/06 13:59:53 eric
* *** empty log message ***
*
* Revision 2.50 2000/06/06 12:42:55 phil
* ajout de Cmp division_xpun (const Cmp&,int)
*
* Revision 2.49 2000/05/22 13:33:15 phil
* ajout des trucs pour poisson avec dzpuis == 3
*
* Revision 2.48 2000/04/03 17:01:01 phil
* ajout de sxpun_1d
*
* Revision 2.47 2000/03/16 16:28:30 phil
* *** empty log message ***
*
* Revision 2.46 2000/03/09 13:52:55 phil
* *** empty log message ***
*
* Revision 2.45 2000/03/09 13:42:34 phil
* vire les trucs relatifs a Poisson compacts
*
* Revision 2.44 2000/03/06 10:27:07 eric
* Ajout des protos som_*_symy et som_*_asymy.
*
* Revision 2.43 2000/01/20 14:07:59 phil
* vire poisson_vect et xksk
*
* Revision 2.42 1999/12/15 09:41:52 eric
* *** empty log message ***
*
*
* $Header: /cvsroot/Lorene/C++/Include/proto.h,v 1.51 2014/10/13 08:52:36 j_novak Exp $
*
*/
namespace Lorene {
class Param ;
class Tbl ;
class Mtbl ;
class Mtbl_cf ;
class Map_af ;
class Matrice ;
class Valeur ;
class Base_val ;
class Cmp ;
class Tenseur ;
class Scalar ;
class Tensor ;
class Sym_tensor ;
class Vector ;
class Param_elliptic ;
// Routines calcul de coefficients
// -------------------------------
double* cheb_ini(const int) ;
double* chebimp_ini(const int) ;
void four1d(const int, double* ) ;
void chebyf1d(const int, double* ) ;
void chebyr1d(const int, double* ) ;
void cfpcossin(const int* ,const int* , double* ) ;
void cfpcossini(const int* ,const int* , double* ) ;
void cftcos(const int*, const int*, double*, const int*, double*) ;
void cftsin(const int*, const int*, double*, const int*, double*) ;
void cftcosp(const int*, const int*, double*, const int*, double*) ;
void cftcosi(const int*, const int*, double*, const int*, double*) ;
void cftsinp(const int*, const int*, double*, const int*, double*) ;
void cftsini(const int*, const int*, double*, const int*, double*) ;
void cftcossincp(const int*, const int*, double*, const int*, double*) ;
void cftcossinsi(const int*, const int*, double*, const int*, double*) ;
void cftcossinsp(const int*, const int*, double*, const int*, double*) ;
void cftcossinci(const int*, const int*, double*, const int*, double*) ;
void cftcossins(const int*, const int*, double*, const int*, double*) ;
void cftcossinc(const int*, const int*, double*, const int*, double*) ;
void cftleg(const int*, const int*, double*, const int*, double*) ;
void cftlegmp(const int*, const int*, double*, const int*, double*) ;
void cftlegmi(const int*, const int*, double*, const int*, double*) ;
void cftlegp(const int*, const int*, double*, const int*, double*) ;
void cftlegpp(const int*, const int*, double*, const int*, double*) ;
void cftlegi(const int*, const int*, double*, const int*, double*) ;
void cftlegip(const int*, const int*, double*, const int*, double*) ;
void cftlegpi(const int*, const int*, double*, const int*, double*) ;
void cftlegii(const int*, const int*, double*, const int*, double*) ;
void cfrcheb(const int*, const int*, double*, const int*, double*) ;
void cfrchebp(const int*, const int*, double*, const int*, double*) ;
void cfrchebi(const int*, const int*, double*, const int*, double*) ;
void cfrchebpimp(const int*, const int*, double*, const int*, double*) ;
void cfrchebpimi(const int*, const int*, double*, const int*, double*) ;
void cfrchebpip(const int*, const int*, double*, const int*, double*) ;
void cfrchebpii(const int*, const int*, double*, const int*, double*) ;
void cipcossin(const int* , const int* , const int* , double* , double* ) ;
void cipcossini(const int* , const int* , const int* , double* , double* ) ;
void citcos(const int*, const int*, double*, const int*, double*) ;
void citcosp(const int*, const int*, double*, const int*, double*) ;
void citcosi(const int*, const int*, double*, const int*, double*) ;
void citsinp(const int*, const int*, double*, const int*, double*) ;
void citsini(const int*, const int*, double*, const int*, double*) ;
void citcossincp(const int*, const int*, double*, const int*, double*) ;
void citcossinsi(const int*, const int*, double*, const int*, double*) ;
void citcossinsp(const int*, const int*, double*, const int*, double*) ;
void citcossinci(const int*, const int*, double*, const int*, double*) ;
void citcossins(const int*, const int*, double*, const int*, double*) ;
void citcossinc(const int*, const int*, double*, const int*, double*) ;
void citleg(const int*, const int*, double*, const int*, double*) ;
void citlegmp(const int*, const int*, double*, const int*, double*) ;
void citlegmi(const int*, const int*, double*, const int*, double*) ;
void citlegp(const int*, const int*, double*, const int*, double*) ;
void citlegpp(const int*, const int*, double*, const int*, double*) ;
void citlegi(const int*, const int*, double*, const int*, double*) ;
void citlegip(const int*, const int*, double*, const int*, double*) ;
void citlegpi(const int*, const int*, double*, const int*, double*) ;
void citlegii(const int*, const int*, double*, const int*, double*) ;
void circheb(const int*, const int*, double*, const int*, double*) ;
void circhebp(const int*, const int*, double*, const int*, double*) ;
void circhebi(const int*, const int*, double*, const int*, double*) ;
void cirleg(const int*, const int*, double*, const int*, double*) ;
void cirlegp(const int*, const int*, double*, const int*, double*) ;
void cirlegi(const int*, const int*, double*, const int*, double*) ;
void circhebpimp(const int*, const int*, double*, const int*, double*) ;
void circhebpimi(const int*, const int*, double*, const int*, double*) ;
void circhebpip(const int*, const int*, double*, const int*, double*) ;
void circhebpii(const int*, const int*, double*, const int*, double*) ;
double* legendre(int , int ) ;
double* legendre_norm(int , int ) ;
double* mat_cossincp_legp(int, int) ;
double* mat_cossinci_legi(int, int) ;
double* mat_cossinc_leg(int, int) ;
double* mat_cosp_legpp(int, int) ;
double* mat_cosi_legip(int, int) ;
double* mat_sini_legpi(int, int) ;
double* mat_sinp_legii(int, int) ;
double* mat_cos_legmp(int, int) ;
double* mat_sin_legmi(int, int) ;
double* mat_legp_cossincp(int, int) ;
double* mat_legi_cossinci(int, int) ;
double* mat_leg_cossinc(int, int) ;
double* mat_legpp_cosp(int, int) ;
double* mat_legip_cosi(int, int) ;
double* mat_legpi_sini(int, int) ;
double* mat_legii_sinp(int, int) ;
double* mat_legmp_cos(int, int) ;
double* mat_legmi_sin(int, int) ;
void chb_cossincp_legp(const int* , const double* , double* ) ;
void chb_legp_cossincp(const int* , const double* , double* ) ;
void chb_cossinc_leg(const int* , const double* , double* ) ;
void chb_leg_cossinc(const int* , const double* , double* ) ;
void chb_cosp_legpp(const int* , const double* , double* ) ;
void chb_legpp_cosp(const int* , const double* , double* ) ;
void chb_cosi_legip(const int* , const double* , double* ) ;
void chb_legip_cosi(const int* , const double* , double* ) ;
void chb_sini_legpi(const int* , const double* , double* ) ;
void chb_legpi_sini(const int* , const double* , double* ) ;
void chb_cossinci_legi(const int* , const double* , double* ) ;
void chb_legi_cossinci(const int* , const double* , double* ) ;
void chb_sinp_legii(const int* , const double* , double* ) ;
void chb_legii_sinp(const int* , const double* , double* ) ;
void chb_cos_legmp(const int* , const double* , double* ) ;
void chb_legmp_cos(const int* , const double* , double* ) ;
void chb_sin_legmi(const int* , const double* , double* ) ;
void chb_legmi_sin(const int* , const double* , double* ) ;
double int1d_chebp(int, const double* ) ;
double int1d_chebi(int, const double* ) ;
double int1d_cheb(int, const double* ) ;
//Routines Legendre en r
void cirleg(const int*, const int*, double*, const int*, double*) ;
void cirlegp(const int*, const int*, double*, const int*, double*) ;
void cirlegi(const int*, const int*, double*, const int*, double*) ;
void cfrleg(const int*, const int*, double*, const int*, double*) ;
void cfrlegp(const int*, const int*, double*, const int*, double*) ;
void cfrlegi(const int*, const int*, double*, const int*, double*) ;
void legendre_collocation_points(int, double*) ;
// Routines Jacobi
double* jacobi(int, double) ;
double* pointsgausslobatto(int) ;
Tbl jacobipointsgl(int) ;
double* coeffjaco(int, double*) ;
void cfrjaco02(const int*, const int*, double*, const int*, double*);
// Routines calcul de coef inverse
void cipcossin(const int* , const int* , const int* , double* , double* ) ;
void citcosp(const int*, const int*, double*, const int*, double*) ;
void citcosi(const int*, const int*, double*, const int*, double*) ;
void citcos(const int*, const int*, double*, const int*, double*) ;
void citsin(const int*, const int*, double*, const int*, double*) ;
void citsinp(const int*, const int*, double*, const int*, double*) ;
void citsini(const int*, const int*, double*, const int*, double*) ;
void citcossincp(const int*, const int*, double*, const int*, double*) ;
void citcossinsi(const int*, const int*, double*, const int*, double*) ;
void citcossinsp(const int*, const int*, double*, const int*, double*) ;
void citcossinci(const int*, const int*, double*, const int*, double*) ;
void citcossins(const int*, const int*, double*, const int*, double*) ;
void citcossinc(const int*, const int*, double*, const int*, double*) ;
void citlegp(const int*, const int*, double*, const int*, double*) ;
void citlegpp(const int*, const int*, double*, const int*, double*) ;
void citlegi(const int*, const int*, double*, const int*, double*) ;
void circheb(const int*, const int*, double*, const int*, double*) ;
void circhebp(const int*, const int*, double*, const int*, double*) ;
void circhebi(const int*, const int*, double*, const int*, double*) ;
void circhebpimp(const int*, const int*, double*, const int*, double*) ;
void circhebpimi(const int*, const int*, double*, const int*, double*) ;
void cirjaco02(const int*, const int*, double* , const int*, double*) ;
// Routines calculant la matrice du laplacien
Matrice _laplacien_mat_pas_prevu(int, int, double, int) ;
Matrice _laplacien_mat_r_chebp(int, int, double, int) ;
Matrice _laplacien_mat_r_chebi(int, int, double, int) ;
Matrice _laplacien_mat_r_chebu(int, int, double, int) ;
Matrice _laplacien_mat_r_chebu_deux(int, int) ;
Matrice _laplacien_mat_r_chebu_trois(int, int) ;
Matrice _laplacien_mat_r_chebu_quatre(int, int) ;
Matrice _laplacien_mat_r_chebu_cinq(int, int) ;
Matrice _laplacien_mat_r_cheb(int, int, double, int) ;
Matrice laplacien_mat(int , int , double , int, int ) ;
//Routines de passage a bande versions Matrice et Tbl
Matrice _cl_pas_prevu (const Matrice&, int, double, int) ;
Matrice _cl_r_cheb (const Matrice&, int, double, int) ;
Matrice _cl_r_chebi (const Matrice&, int, double, int) ;
Matrice _cl_r_chebu (const Matrice&, int, double, int) ;
Matrice _cl_r_chebu_cinq (const Matrice&, int) ;
Matrice _cl_r_chebu_quatre (const Matrice&, int) ;
Matrice _cl_r_chebu_trois (const Matrice&, int) ;
Matrice _cl_r_chebu_deux (const Matrice&, int) ;
Matrice _cl_r_chebp (const Matrice&, int, double, int) ;
Matrice combinaison (const Matrice&, int, double, int, int) ;
Tbl _cl_pas_prevu (const Tbl&, int) ;
Tbl _cl_r_cheb (const Tbl&, int) ;
Tbl _cl_r_chebi (const Tbl&, int) ;
Tbl _cl_r_chebu (const Tbl&, int) ;
Tbl _cl_r_chebu_deux (const Tbl&) ;
Tbl _cl_r_chebu_trois (const Tbl&) ;
Tbl _cl_r_chebu_quatre (const Tbl&) ;
Tbl _cl_r_chebu_cinq (const Tbl&) ;
Tbl _cl_r_chebp (const Tbl&, int) ;
Tbl combinaison (const Tbl&, int, int) ;
// Routines de preparation du laplacien inversible
Matrice _prepa_nondege_pas_prevu(const Matrice &, int , double, int) ;
Matrice _prepa_nondege_r_cheb (const Matrice&, int, double, int) ;
Matrice _prepa_nondege_r_chebp (const Matrice&, int, double, int) ;
Matrice _prepa_nondege_r_chebi (const Matrice&, int, double, int) ;
Matrice _prepa_nondege_r_chebu (const Matrice&, int, double, int) ;
Matrice _prepa_nondege_r_chebu_deux (const Matrice&, int) ;
Matrice _prepa_nondege_r_chebu_trois (const Matrice&, int) ;
Matrice _prepa_nondege_r_chebu_quatre (const Matrice&, int) ;
Matrice _prepa_nondege_r_chebu_cinq (const Matrice&, int) ;
Matrice prepa_nondege (const Matrice&, int, double, int, int) ;
//Routines de calcul de la solution particuliere
Tbl _solp_pas_prevu(const Matrice&, const Matrice&, double, double, const Tbl&, int) ;
Tbl _solp_r_cheb (const Matrice&, const Matrice&, double, double, const Tbl&, int) ;
Tbl _solp_r_chebp (const Matrice&, const Matrice&, double, double, const Tbl&, int) ;
Tbl _solp_r_chebi (const Matrice&, const Matrice&, double, double, const Tbl&, int) ;
Tbl _solp_r_chebu (const Matrice&, const Matrice&, double, double, const Tbl&, int) ;
Tbl _solp_r_chebu_deux (const Matrice&, const Matrice&, const Tbl&) ;
Tbl _solp_r_chebu_trois (const Matrice&, const Matrice&, double, const Tbl&) ;
Tbl _solp_r_chebu_quatre (const Matrice&, const Matrice&, double, const Tbl&) ;
Tbl _solp_r_chebu_cinq (const Matrice&, const Matrice&, const Tbl&) ;
Tbl solp (const Matrice&, const Matrice&, double, double, const Tbl&, int, int) ;
//Routines de calcul des solutions homogenes
Tbl _solh_pas_prevu (int, int, double) ;
Tbl _solh_r_cheb (int, int, double) ;
Tbl _solh_r_chebp (int, int, double) ;
Tbl _solh_r_chebi (int, int, double) ;
Tbl _solh_r_chebu (int, int, double) ;
Tbl solh (int, int, double, int) ;
// Routines helmholtz minus :
Matrice helmholtz_minus_mat(int , int, double , double , double, int ) ;
Matrice cl_helmholtz_minus (const Matrice&, int) ;
Tbl cl_helmholtz_minus (const Tbl&, int) ;
Matrice prepa_helmholtz_minus_nondege (const Matrice&, int) ;
Tbl solp_helmholtz_minus (const Matrice&, const Matrice&, const Tbl&,
double, double, int, int) ;
Tbl solh_helmholtz_minus (int, int, double, double, double, int) ;
// Routines helmholtz plus :
Matrice helmholtz_plus_mat(int , int, double , double , double, int ) ;
Matrice cl_helmholtz_plus (const Matrice&, int) ;
Tbl cl_helmholtz_plus (const Tbl&, int) ;
Matrice prepa_helmholtz_plus_nondege (const Matrice&, int) ;
Tbl solp_helmholtz_plus (const Matrice&, const Matrice&, const Tbl&,
double, double, int) ;
Tbl solh_helmholtz_plus (int, int, double, double, double, int) ;
//Routines de calcul des valeurs limites
Tbl val_solh (int, double, double, int) ;
Tbl val_solp (const Tbl&, double, int) ;
double val1_dern_1d (int, const Tbl&, int) ;
double valm1_dern_1d (int, const Tbl&, int) ;
//Routines de derivations version 1d
void _d2sdx2_1d_pas_prevu(int, double*, double* ) ;
void _d2sdx2_1d_r_chebu(int, double*, double* ) ;
void _d2sdx2_1d_r_cheb(int, double*, double* ) ;
void _d2sdx2_1d_r_chebp(int, double*, double* ) ;
void _d2sdx2_1d_r_chebi(int, double*, double * ) ;
void d2sdx2_1d(int, double** , int) ;
void _dsdx_1d_pas_prevu(int, double*, double* ) ;
void _dsdx_1d_r_chebu(int, double*, double* ) ;
void _dsdx_1d_r_chebp(int, double*, double* ) ;
void _dsdx_1d_r_chebi(int, double*, double* ) ;
void dsdx_1d(int, double** , int) ;
void _multx_1d_pas_prevu(int, double*, double* ) ;
void _multx_1d_r_cheb(int, double*, double* ) ;
void multx_1d(int, double **, int) ;
void multxpun_1d(int, double **, int) ;
void _sx_1d_pas_prevu(int, double*, double* ) ;
void _sx_1d_r_chebi(int, double*, double* ) ;
void _sx_1d_r_chebp(int, double*, double* ) ;
void sx_1d(int, double **, int) ;
void _sx2_1d_pas_prevu(int, double*, double*) ;
void _sx2_1d_identite(int, double*, double*) ;
void _sx2_1d_r_chebp(int, double*, double*) ;
void _sx2_1d_r_chebi(int, double*, double*) ;
void _sxm12_1d_r_chebu(int, double *, double*) ;
void sx2_1d(int, double**, int) ;
void _sxdsdx_1d_pas_prevu(int, double*, double*) ;
void _dsdx_1d_r_cheb(int, double*, double*) ;
void _sxdsdx_1d_r_chebi(int, double*, double*) ;
void _sxdsdx_1d_r_chebp(int, double*, double*) ;
void sxdsdx_1d(int, double** , int) ;
//Routines de derivations (pour sol_dalembert)
void _dsdx_r_chebp(Tbl *, int &) ;
void _dsdx_r_chebi(Tbl *, int &) ;
// Resolution de l'equation de Poisson
int nullite_plm_sym (int, int, int, int) ;
int nullite_plm_nonsym (int, int, int, int) ;
int nullite_plm_nonsym_anti (int, int, int, int) ;
int nullite_plm (int, int, int, int, Base_val) ;
void donne_lm_sym (int, int, int, int, int&, int&, int&) ;
void donne_lm_nonsym (int, int, int, int, int&, int&, int&) ;
void donne_lm_nonsym_anti (int, int, int, int, int&, int&, int&) ;
void donne_lm (int, int, int, int, Base_val, int&, int&, int&) ;
// Les sommations en r :
void som_r_pas_prevu
(double*, const int, const int, const int, const double, double*) ;
void som_r_cheb
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebi
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebp
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebu
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebpim_p
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebpim_i
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebpi_p
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebpi_i
(double*, const int, const int, const int, const double, double*) ;
void som_r_cheb_symy
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebu_symy
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebpim_p_symy
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebpim_i_symy
(double*, const int, const int, const int, const double, double*) ;
void som_r_cheb_asymy
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebu_asymy
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebpim_p_asymy
(double*, const int, const int, const int, const double, double*) ;
void som_r_chebpim_i_asymy
(double*, const int, const int, const int, const double, double*) ;
void som_r_leg
(double*, const int, const int, const int, const double, double*) ;
void som_r_legi
(double*, const int, const int, const int, const double, double*) ;
void som_r_legp
(double*, const int, const int, const int, const double, double*) ;
void som_r_jaco02
(double*, const int, const int, const int, const double, double*) ;
// Les sommations en theta :
void som_tet_pas_prevu
(double*, const int, const int, const double, double*) ;
void som_tet_cos
(double*, const int, const int, const double, double* ) ;
void som_tet_cos_p
(double*, const int, const int, const double, double* ) ;
void som_tet_cos_i
(double*, const int, const int, const double, double* ) ;
void som_tet_sin
(double*, const int, const int, const double, double* ) ;
void som_tet_sin_p
(double*, const int, const int, const double, double* ) ;
void som_tet_sin_i
(double*, const int, const int, const double, double* ) ;
void som_tet_cossin_cp
(double*, const int, const int, const double, double* ) ;
void som_tet_cossin_ci
(double*, const int, const int, const double, double* ) ;
void som_tet_cossin_c
(double*, const int, const int, const double, double* ) ;
void som_tet_cossin_s
(double*, const int, const int, const double, double* ) ;
void som_tet_cossin_sp
(double*, const int, const int, const double, double* ) ;
void som_tet_cossin_si
(double*, const int, const int, const double, double* ) ;
void som_tet_cossin_cp_symy
(double*, const int, const int, const double, double* ) ;
void som_tet_cossin_ci_symy
(double*, const int, const int, const double, double* ) ;
void som_tet_cossin_cp_asymy
(double*, const int, const int, const double, double* ) ;
void som_tet_cossin_ci_asymy
(double*, const int, const int, const double, double* ) ;
// Les sommations en phi :
void som_phi_pas_prevu
(double*, const int, const double, double* ) ;
void som_phi_cossin
(double*, const int, const double, double* ) ;
void som_phi_cossin_p
(double*, const int, const double, double* ) ;
void som_phi_cossin_i
(double*, const int, const double, double* ) ;
void som_phi_cossin_symy
(double*, const int, const double, double* ) ;
void som_phi_cossin_asymy
(double*, const int, const double, double* ) ;
// les divisions et multiplications par x-1 :
void sxm1_1d_cheb(int, double*) ;
void mult_xm1_1d_cheb(int, const double*, double*) ;
void mult2_xm1_1d_cheb(int, const double*, double*) ;
// x * dsdx ...
void _xdsdx_1d_pas_prevu (int, double*, double*) ;
void _xdsdx_1d_r_cheb (int, double*, double*) ;
void _xdsdx_1d_r_chebp (int, double*, double*) ;
void _xdsdx_1d_r_chebi (int, double*, double*) ;
void xdsdx_1d(int, double**, int) ;
// Multiplication par x^2
void multx2_1d(int, double **, int) ;
void _multx2_1d_r_cheb(int, double* , double *);
void _multx2_1d_r_chebp(int, double* , double *);
void _multx2_1d_r_chebi(int, double* , double *);
void _multx2_1d_pas_prevu(int, double* , double *);
// division par (x+1)
void sxpun_1d(int, double **, int) ;
void _sxpun_1d_r_cheb(int, double* , double *);
void _sxpun_1d_pas_prevu(int, double* , double *);
Cmp division_xpun (const Cmp&, int) ;
// Fonctions liees a la resolution des l'equation des ondes
void get_operateur_dal(const Param&, const int&, const int&,
int&, Matrice& );
Tbl dal_inverse(const int&, const int&, const Matrice&, const Tbl&,
const bool) ;
Mtbl_cf sol_dalembert(Param&, const Map_af&, const Mtbl_cf&) ;
void runge_kutta3_wave_sys(double, const Scalar&, const Scalar&, Scalar& , Scalar&, int dl=0 ) ;
void evolve_outgoing_BC(double, int, const Scalar&, Scalar&, Tbl&, Tbl&, Tbl&, int dl=0) ;
void tilde_laplacian(const Scalar& B_in, Scalar& tilde_lap, int dl=-1) ;
void initialize_outgoing_BC(int, const Scalar& , const Scalar& , Tbl&) ;
// Fonctions liees aux operateurs elliptiques degeneres: obtention d'espaces-temps de type Kerr
void tensorelliptic ( Scalar source, Scalar& resu, double fitd1, double fit2d1, double fit0d2 = 0., double fit1d2 = 0., double fit0d3 = 0., double fit1d3 = 0.);
void tensorellipticBt ( Scalar source, Scalar& resu, double fitd1, double fit2d1, double fit0d2 = 0., double fit1d2 = 0., double fit0d3 = 0., double fit1d3 = 0.);
void tensorellipticCt ( Scalar source, Scalar& resu, double fitd1, double fit2d1, double fit0d2, double fit1d2, double fit0d3, double fit1d3);
Sym_tensor secmembre_kerr ( const Sym_tensor& hij, const Sym_tensor& aa,const Scalar& nn,const Scalar& ppsi,const Vector& bb);
Sym_tensor boundfree_tensBC( Sym_tensor source, Vector Beta, Scalar Psi, Scalar Nn, Sym_tensor hij_guess, double precision , int loopmax = 250) ;
// Trucs utilises pour poisson_compact :
Matrice lap_cpt_mat(int, int, int) ;
Matrice xdsdx_mat(int, int, int) ;
Matrice combinaison_cpt (const Matrice &, int, int) ;
Tbl combinaison_cpt (const Tbl &, int) ;
// Trucs binaires :
void dirichlet_binaire (const Cmp& source_un, const Cmp& source_deux,
const Valeur& boundary_un, const Valeur& boundary_deux,
Cmp& sol_un, Cmp& sol_deux, int num_front,
double precision) ;
void dirichlet_binaire (const Cmp& source_un, const Cmp& source_deux,
double bound_un, double bound_deux,
Cmp& sol_un, Cmp& sol_deux, int num_front,
double precision) ;
void dirichlet_binaire (const Scalar& source_un, const Scalar& source_deux,
const Valeur& boundary_un, const Valeur& boundary_deux,
Scalar& sol_un, Scalar& sol_deux, int num_front,
double precision) ;
void neumann_binaire (const Cmp& source_un, const Cmp& source_deux,
const Valeur& boundary_un, const Valeur& boundary_deux,
Cmp& sol_un, Cmp& sol_deux, int num_front,
double precision) ;
void neumann_binaire (const Cmp& source_un, const Cmp& source_deux,
double bound_un, double bound_deux,
Cmp& sol_un, Cmp& sol_deux, int num_front,
double precision) ;
void neumann_binaire (const Scalar& source_un, const Scalar& source_deux,
const Valeur& boundary_un, const Valeur& boundary_deux,
Scalar& sol_un, Scalar& sol_deux, int num_front,
double precision) ;
void poisson_vect_frontiere (double lambda, const Tenseur& source, Tenseur& shift,
const Valeur& lim_x, const Valeur& lim_y, const Valeur& lim_z,
int num_front, double precision, int itermax) ;
void poisson_vect_boundary (double lambda, const Vector& source, Vector& shift,
const Valeur& lim_x, const Valeur& lim_y, const Valeur& lim_z,
int num_front, double precision, int itermax) ;
void poisson_vect_binaire ( double lambda,
const Tenseur& source_un, const Tenseur& source_deux,
const Valeur& bound_x_un, const Valeur& bound_y_un,
const Valeur& bound_z_un, const Valeur& bound_x_deux,
const Valeur& bound_y_deux, const Valeur& bound_z_deux,
Tenseur& sol_un, Tenseur& sol_deux, int num_front, double precision) ;
void poisson_vect_binaire ( double lambda,
const Vector& source_un, const Vector& source_deux,
const Valeur& bound_x_un, const Valeur& bound_y_un,
const Valeur& bound_z_un, const Valeur& bound_x_deux,
const Valeur& bound_y_deux, const Valeur& bound_z_deux,
Vector& sol_un, Vector& sol_deux, int num_front, double precision) ;
// Elliptic solvers :
Mtbl_cf elliptic_solver (const Param_elliptic&, const Mtbl_cf&) ;
Mtbl_cf elliptic_solver_boundary (const Param_elliptic& ope_var, const Mtbl_cf& source, const Mtbl_cf& bound, double fact_dir, double fact_neu ) ;
Mtbl_cf elliptic_solver_no_zec (const Param_elliptic&, const Mtbl_cf&,
double val) ;
Mtbl_cf elliptic_solver_only_zec (const Param_elliptic&, const Mtbl_cf&,
double val) ;
Mtbl_cf elliptic_solver_sin_zec (const Param_elliptic&, const Mtbl_cf&, double*, double*) ;
Mtbl_cf elliptic_solver_fixe_der_zero (double,
const Param_elliptic&,
const Mtbl_cf&) ;
// Integrale 2D pour les etoiles en rotation
double integrale2d(const Scalar&) ;
// Solution de la composante r de Poisson vectoriel, pour l=0 uniquement
Scalar pois_vect_r0(const Scalar& ) ;
// Regularisation du shift :
double regle (Tenseur& shift_auto, const Tenseur& shift_comp, double omega, double) ;
// Trucs pour la solution de Misner-Lindquist
double serie_lindquist_plus (double rayon, double distance, double xa, double ya,
double za, double precision, double itemax) ;
double serie_lindquist_moins (double rayon, double distance, double xa, double ya,
double za, double precision, double itemax) ;
double adm_serie (double rayon, double distance, double precision) ;
double bare_serie (double rayon, double distance, double precision) ;
void set_lindquist (Cmp& psi_un, Cmp& psi_deux, double rayon, double precision) ;
void separation (const Cmp& c1, const Cmp& c2, Cmp& res1, Cmp& res2, int decrois,
int puiss, int lmax, double precision, const double relax = 0.5, const int itemax = 100, const int flag = 1) ;
// Spectral cutoff used in tensor elliptic solvers, and solving for stationary black hole spacetimes
void coupe_l_tous( Sym_tensor& hij,Sym_tensor& aa, Scalar& nn,Scalar& ppsi, Vector& bb, int ntt, int cutoff);
void tensor_coupe_l( Sym_tensor& ten, int ntt, int cutoff);
}
#endif
Lorene::Base_val
Bases of the spectral expansions.
Definition base_val.h:322
Lorene::Cmp
Component of a tensorial field *** DEPRECATED : use class Scalar instead ***.
Definition cmp.h:446
Lorene::Map_af
Affine radial mapping.
Definition map.h:2027
Lorene::Matrice
Matrix handling.
Definition matrice.h:152
Lorene::Mtbl_cf
Coefficients storage for the multi-domain spectral method.
Definition mtbl_cf.h:186
Lorene::Mtbl
Multi-domain array.
Definition mtbl.h:118
Lorene::Param_elliptic
This class contains the parameters needed to call the general elliptic solver.
Definition param_elliptic.h:135
Lorene::Param
Parameter storage.
Definition param.h:125
Lorene::Scalar
Tensor field of valence 0 (or component of a tensorial field).
Definition scalar.h:387
Lorene::Sym_tensor
Class intended to describe valence-2 symmetric tensors.
Definition sym_tensor.h:223
Lorene::Tbl
Basic array class.
Definition tbl.h:161
Lorene::Tenseur
Tensor handling *** DEPRECATED : use class Tensor instead ***.
Definition tenseur.h:301
Lorene::Tensor
Tensor handling.
Definition tensor.h:288
Lorene::Valeur
Values and coefficients of a (real-value) function.
Definition valeur.h:287
Lorene::Vector
Tensor field of valence 1.
Definition vector.h:188
Lorene
Lorene prototypes.
Definition app_hor.h:64
Lorene::som_r_cheb_symy
void som_r_cheb_symy(double *, const int, const int, const int, const double, double *)
Cas R_CHEB ///.
Definition som_symy.C:82
Lorene::som_tet_cossin_ci_symy
void som_tet_cossin_ci_symy(double *, const int, const int, const double, double *)
Cas T_COSSIN_CI ///.
Definition som_symy.C:393
Lorene::tensorellipticCt
void tensorellipticCt(Scalar source, Scalar &resu, double fitd1, double fit2d1, double fit0d2, double fit1d2, double fit0d3, double fit1d3)
Definition tensorellipticCt.C:16
Lorene::som_r_chebu_symy
void som_r_chebu_symy(double *, const int, const int, const int, const double, double *)
Cas R_CHEBU ///.
Definition som_symy.C:145
Lorene::som_r_cheb_asymy
void som_r_cheb_asymy(double *, const int, const int, const int, const double, double *)
Cas R_CHEB ///.
Definition som_asymy.C:80
Lorene::som_tet_cossin_cp_asymy
void som_tet_cossin_cp_asymy(double *, const int, const int, const double, double *)
Cas T_COSSIN_CP ///.
Definition som_asymy.C:281
Lorene::som_r_chebpim_i_symy
void som_r_chebpim_i_symy(double *, const int, const int, const int, const double, double *)
Cas R_CHEBPIM_I ///.
Definition som_symy.C:269
Lorene::som_tet_cossin_cp_symy
void som_tet_cossin_cp_symy(double *, const int, const int, const double, double *)
Cas T_COSSIN_CP ///.
Definition som_symy.C:338
Lorene::som_r_chebpim_p_asymy
void som_r_chebpim_p_asymy(double *, const int, const int, const int, const double, double *)
Cas R_CHEBPIM_P ///.
Definition som_asymy.C:177
Lorene::som_r_chebpim_i_asymy
void som_r_chebpim_i_asymy(double *, const int, const int, const int, const double, double *)
Cas R_CHEBPIM_I ///.
Definition som_asymy.C:227
Lorene::xa
Coord xa
Absolute x coordinate.
Definition map.h:730
Lorene::za
Coord za
Absolute z coordinate.
Definition map.h:732
Lorene::som_r_chebpim_p_symy
void som_r_chebpim_p_symy(double *, const int, const int, const int, const double, double *)
Cas R_CHEBPIM_P ///.
Definition som_symy.C:206
Lorene::som_tet_cossin_ci_asymy
void som_tet_cossin_ci_asymy(double *, const int, const int, const double, double *)
Cas T_COSSIN_CI ///.
Definition som_asymy.C:325
Lorene::som_r_chebu_asymy
void som_r_chebu_asymy(double *, const int, const int, const int, const double, double *)
Cas R_CHEBU ///.
Definition som_asymy.C:128
Lorene::ya
Coord ya
Absolute y coordinate.
Definition map.h:731