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/*
* 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 multx_1d_C[] = "$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Operators/multx_1d.C,v 1.5 2015/03/05 08:49:32 j_novak Exp $" ;
/*
* $Id: multx_1d.C,v 1.5 2015/03/05 08:49:32 j_novak Exp $
* $Log: multx_1d.C,v $
* Revision 1.5 2015/03/05 08:49:32 j_novak
* Implemented operators with Legendre bases.
*
* Revision 1.4 2014/10/13 08:53:24 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.3 2014/10/06 15:16:06 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2002/10/16 14:36:58 j_novak
* Reorganization of #include instructions of standard C++, in order to
* use experimental version 3 of gcc.
*
* Revision 1.1.1.1 2001/11/20 15:19:29 e_gourgoulhon
* LORENE
*
* Revision 2.1 1999/07/08 09:54:30 phil
* correction gestion memoire
*
* Revision 2.0 1999/07/07 10:15:40 phil
* *** empty log message ***
*
*
* $Header: /cvsroot/Lorene/C++/Source/Non_class_members/Operators/multx_1d.C,v 1.5 2015/03/05 08:49:32 j_novak Exp $
*
*/
// Includes
#include <cstdlib>
#include <cassert>
#include "headcpp.h"
#include "type_parite.h"
/*
* Operateurs de multiplication par x
*
* Uniquement le cas R_CHEB
*
* Entree :
*
* int nr : nombre de points en r
* tb contient les coefficients du developpement
* evenetuellement e dans echelle
*
* Sortie :
* tb contient les coefficients du resultat...
*/
//--------------------------------------
// Routine pour les cas non prevus -----
//--------------------------------------
namespace Lorene {
void _multx_1d_pas_prevu(int nr, double* tb, double *result) {
cout << "multx pas prevu..." << endl ;
cout << "Valeurs : " << tb << " " << result << endl ;
cout << " nr : " << nr << endl ;
abort() ;
exit(-1) ;
}
//------------------
// cas R_CHEB ---
//------------------
void _multx_1d_r_cheb (int nr, double* tb, double* res) {
res[0] = tb[1]/2. ;
res[1] = (2*tb[0]+tb[2])/2. ;
res[nr-1] = tb[nr-2]/2. ;
for (int i=2 ; i<nr-1 ; i++)
res[i] = (tb[i-1]+tb[i+1])/2. ;
}
//----------------
// cas R_LEG ---
//----------------
void _multx_1d_r_leg (int nr, double* tb, double* res) {
assert(nr > 1) ;
res[0] = tb[1]/3. ;
res[1] = tb[0]+0.4*tb[2] ;
res[nr-1] = double(nr-1)*tb[nr-2]/double(2*nr-3) ;
for (int i=2 ; i<nr-1 ; i++)
res[i] = double(i)*tb[i-1]/double(2*i-1)
+ double(i+1)*tb[i+1]/double(2*i+3) ;
}
// ----------------------
// La routine a appeler
//-----------------------
void multx_1d(int nr, double **tb, int base_r)
{
// Routines de derivation
static void (*multx_1d[MAX_BASE])(int, double *, double *) ;
static int nap = 0 ;
// Premier appel
if (nap==0) {
nap = 1 ;
for (int i=0 ; i<MAX_BASE ; i++) {
multx_1d[i] = _multx_1d_pas_prevu ;
}
// Les routines existantes
multx_1d[R_CHEB >> TRA_R] = _multx_1d_r_cheb ;
multx_1d[R_LEG >> TRA_R] = _multx_1d_r_leg ;
}
double *result = new double[nr] ;
multx_1d[base_r](nr, *tb, result) ;
delete [] (*tb) ;
(*tb) = result ;
}
}
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