multx_1d.C

/*
 *   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
 *
 */


 

/*
 * $Id: multx_1d.C,v 1.6 2016/12/05 16:18:07 j_novak Exp $
 * $Log: multx_1d.C,v $
 * Revision 1.6  2016/12/05 16:18:07  j_novak
 * Suppression of some global variables (file names, loch, ...) to prevent redefinitions
 *
 * 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 1.6 2016/12/05 16:18:07 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 ;
}

}