cmp_deriv.C
/*
* Computations of partial derivatives d/dx, d/dy and d/dz of a Cmp.
*/
/*
* Copyright (c) 1999-2001 Eric Gourgoulhon
* Copyright (c) 1999-2001 Philippe Grandclement
*
* 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 cmp_deriv_C[] = "$Header: /cvsroot/Lorene/C++/Source/Cmp/cmp_deriv.C,v 1.3 2014/10/13 08:52:47 j_novak Exp $" ;
/*
* $Id: cmp_deriv.C,v 1.3 2014/10/13 08:52:47 j_novak Exp $
* $Log: cmp_deriv.C,v $
* Revision 1.3 2014/10/13 08:52:47 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.2 2014/10/06 15:13:03 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.1.1.1 2001/11/20 15:19:27 e_gourgoulhon
* LORENE
*
* Revision 1.7 2000/09/11 15:55:12 eric
* Calcul de dsdx, dsdy et dsdz: suppression des methodes Map::deriv_x, etc...
* et introduction des methodes Map::comp_x_from_spherical, etc...
*
* Revision 1.6 2000/02/08 14:20:14 phil
* vire set_etat_qcq
*
* Revision 1.5 2000/01/27 17:27:49 phil
* coorection etat du resultat
*
* Revision 1.4 2000/01/26 13:11:36 eric
* Modifs pour tenir compte du reprototypage complet des routines de derivation
* des mappings (Map::dsdr, etc...). Le resultat p_* est desormais alloue
* a l'exterieur de la routine Map::*.
*
* Revision 1.3 1999/11/29 14:38:16 eric
* *** empty log message ***
*
* Revision 1.2 1999/11/29 12:57:07 eric
* Introduction du laplacien.
*
* Revision 1.1 1999/11/25 16:28:17 eric
* Initial revision
*
*
* $Header: /cvsroot/Lorene/C++/Source/Cmp/cmp_deriv.C,v 1.3 2014/10/13 08:52:47 j_novak Exp $
*
*/
// Headers C
#include <cstdlib>
// Headers Lorene
#include "cmp.h"
//---------------------//
// d/dr //
//---------------------//
namespace Lorene {
const Cmp& Cmp::dsdr() const {
// Protection
assert(etat != ETATNONDEF) ;
// If the derivative has not been previously computed, the
// computation must be done by the appropriate routine of the mapping :
if (p_dsdr == 0x0) {
p_dsdr = new Cmp(mp) ;
mp->dsdr(*this, *p_dsdr) ;
}
return *p_dsdr ;
}
//------------------------//
// 1/r d/dtheta //
//------------------------//
const Cmp& Cmp::srdsdt() const {
// Protection
assert(etat != ETATNONDEF) ;
// If the derivative has not been previously computed, the
// computation must be done by the appropriate routine of the mapping :
if (p_srdsdt == 0x0) {
p_srdsdt = new Cmp(mp) ;
mp->srdsdt(*this, *p_srdsdt) ;
}
return *p_srdsdt ;
}
//----------------------------------//
// 1/(r sin(theta) d/dphi //
//----------------------------------//
const Cmp& Cmp::srstdsdp() const {
// Protection
assert(etat != ETATNONDEF) ;
// If the derivative has not been previously computed, the
// computation must be done by the appropriate routine of the mapping :
if (p_srstdsdp == 0x0) {
p_srstdsdp = new Cmp(mp) ;
mp->srstdsdp(*this, *p_srstdsdp) ;
}
return *p_srstdsdp ;
}
//---------------------//
// d/dx //
//---------------------//
const Cmp& Cmp::dsdx() const {
// Protection
assert(etat != ETATNONDEF) ;
// If the derivative has not been previously computed, the
// computation must be done by the appropriate routine of the mapping :
if (p_dsdx == 0x0) {
p_dsdx = new Cmp(mp) ;
mp->comp_x_from_spherical(dsdr(), srdsdt(), srstdsdp(), *p_dsdx) ;
}
return *p_dsdx ;
}
//---------------------//
// d/dy //
//---------------------//
const Cmp& Cmp::dsdy() const {
// Protection
assert(etat != ETATNONDEF) ;
// If the derivative has not been previously computed, the
// computation must be done by the appropriate routine of the mapping :
if (p_dsdy == 0x0) {
p_dsdy = new Cmp(mp) ;
mp->comp_y_from_spherical(dsdr(), srdsdt(), srstdsdp(), *p_dsdy) ;
}
return *p_dsdy ;
}
//---------------------//
// d/dz //
//---------------------//
const Cmp& Cmp::dsdz() const {
// Protection
assert(etat != ETATNONDEF) ;
// If the derivative has not been previously computed, the
// computation must be done by the appropriate routine of the mapping :
if (p_dsdz == 0x0) {
p_dsdz = new Cmp(mp) ;
mp->comp_z_from_spherical(dsdr(), srdsdt(), *p_dsdz) ;
}
return *p_dsdz ;
}
//---------------------//
// d/dx^i //
//---------------------//
const Cmp& Cmp::deriv(int i) const {
switch (i) {
case 0 : {
return dsdx() ;
}
case 1 : {
return dsdy() ;
}
case 2 : {
return dsdz() ;
}
default : {
cout << "Cmp::deriv : index i out of range !" << endl ;
cout << " i = " << i << endl ;
abort() ;
return dsdx() ; // Pour satisfaire le compilateur !
}
}
}
//---------------------//
// Laplacian //
//---------------------//
const Cmp& Cmp::laplacien(int zec_mult_r) const {
// Protection
assert(etat != ETATNONDEF) ;
// If the Laplacian has not been previously computed, the
// computation must be done by the appropriate routine of the mapping :
if ( (p_lap == 0x0) || (zec_mult_r != ind_lap) ) {
if (p_lap != 0x0) {
delete p_lap ; // the Laplacian had been computed but with
// a different value of zec_mult_r
}
p_lap = new Cmp(mp) ;
mp->laplacien(*this, zec_mult_r, *p_lap) ;
ind_lap = zec_mult_r ;
}
return *p_lap ;
}
}
Lorene::Cmp::p_dsdx
Cmp * p_dsdx
Pointer on of *this , where .
Definition cmp.h:479
Lorene::Cmp::mp
const Map * mp
Reference mapping.
Definition cmp.h:451
Lorene::Cmp::Cmp
Cmp(const Map &map)
Constructor from mapping.
Definition cmp.C:208
Lorene::Cmp::p_srstdsdp
Cmp * p_srstdsdp
Pointer on of *this.
Definition cmp.h:474
Lorene::Cmp::p_srdsdt
Cmp * p_srdsdt
Pointer on of *this.
Definition cmp.h:472
Lorene::Cmp::dsdz
const Cmp & dsdz() const
Returns of *this , where .
Definition cmp_deriv.C:190
Lorene::Cmp::srstdsdp
const Cmp & srstdsdp() const
Returns of *this .
Definition cmp_deriv.C:127
Lorene::Cmp::etat
int etat
Logical state (ETATNONDEF , ETATQCQ or ETATZERO ).
Definition cmp.h:454
Lorene::Cmp::dsdy
const Cmp & dsdy() const
Returns of *this , where .
Definition cmp_deriv.C:169
Lorene::Cmp::deriv
const Cmp & deriv(int i) const
Returns of *this , where .
Definition cmp_deriv.C:211
Lorene::Cmp::laplacien
const Cmp & laplacien(int zec_mult_r=4) const
Returns the Laplacian of *this.
Definition cmp_deriv.C:242
Lorene::Cmp::srdsdt
const Cmp & srdsdt() const
Returns of *this .
Definition cmp_deriv.C:105
Lorene::Cmp::p_dsdr
Cmp * p_dsdr
Pointer on of *this.
Definition cmp.h:470
Lorene::Cmp::dsdx
const Cmp & dsdx() const
Returns of *this , where .
Definition cmp_deriv.C:148
Lorene::Cmp::p_dsdy
Cmp * p_dsdy
Pointer on of *this , where .
Definition cmp.h:484
Lorene::Cmp::dsdr
const Cmp & dsdr() const
Returns of *this .
Definition cmp_deriv.C:84
Lorene::Cmp::p_lap
Cmp * p_lap
Pointer on the Laplacian of *this.
Definition cmp.h:493
Lorene::Cmp::ind_lap
int ind_lap
Power of r by which the last computed Laplacian has been multiplied in the external compactified doma...
Definition cmp.h:498
Lorene::Cmp::p_dsdz
Cmp * p_dsdz
Pointer on of *this , where .
Definition cmp.h:489
Lorene
Lorene prototypes.
Definition app_hor.h:64