diff_x2dsdx2.C

/*
 *  Methods for the class Diff_x2dsdx2
 *
 *    (see file diff.h for documentation).
 *
 */

/*
 *   Copyright (c) 2005 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 version 2
 *   as published by the Free Software Foundation.
 *
 *   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 diff_x2dsdx2_C[] = "$Header: /cvsroot/Lorene/C++/Source/Diff/diff_x2dsdx2.C,v 1.2 2007/12/11 15:28:11 jl_cornou Exp $" ;

/*
 * $Id: diff_x2dsdx2.C,v 1.2 2007/12/11 15:28:11 jl_cornou Exp $
 * $Log: diff_x2dsdx2.C,v $
 * Revision 1.2  2007/12/11 15:28:11  jl_cornou
 * Jacobi(0,2) polynomials partially implemented
 *
 * Revision 1.1  2005/01/10 16:34:52  j_novak
 * New class for 1D mono-domain differential operators.
 *
 *
 * $Header: /cvsroot/Lorene/C++/Source/Diff/diff_x2dsdx2.C,v 1.2 2007/12/11 15:28:11 jl_cornou Exp $
 *
 */

// C headers
#include <assert.h>
#include <stdlib.h>

// Lorene headers
#include "diff.h"
#include "proto.h"

void mult2_xp1_1d(int, double**, int) ;

namespace {
    int nap = 0 ;
    Matrice* tab[MAX_BASE*Diff::max_points] ;
    int nr_done[Diff::max_points] ;
}

Diff_x2dsdx2::Diff_x2dsdx2(int base_r, int nr) : Diff(base_r, nr) {
    initialize() ;
}

Diff_x2dsdx2::Diff_x2dsdx2(const Diff_x2dsdx2& diff_in) : Diff(diff_in) {
    assert (nap != 0) ;
} 

Diff_x2dsdx2::~Diff_x2dsdx2() {}

void Diff_x2dsdx2::initialize() {
    if (nap == 0) {
    for (int i=0; i<max_points; i++) {
        nr_done[i] = -1 ;
        for (int j=0; j<MAX_BASE; j++) 
        tab[j*max_points+i] = 0x0 ;
    }
    nap = 1 ;
    }
    return ;
}

void Diff_x2dsdx2::operator=(const Diff_x2dsdx2& diff_in) {
    assert (nap != 0) ;
    Diff::operator=(diff_in) ;

}

const Matrice& Diff_x2dsdx2::get_matrice() const {
    
    bool done = false ;
    int indice ;
    for (indice =0; indice<max_points; indice++) {
    if (nr_done[indice] == npoints) {
        if (tab[base*max_points + indice] != 0x0) done = true ;
        break ;
    }
    if (nr_done[indice] == -1)
        break ;
    }
    if (!done) { //The computation must be done ...
    if (indice == max_points) {
        cerr << "Diff_x2dsdx2::get_matrice() : no space left!!" << '\n'
         << "The value of Diff.max_points must be increased..." << endl ;
        abort() ;
    }
    nr_done[indice] = npoints ;
    tab[base*max_points + indice] = new Matrice(npoints, npoints) ;
    Matrice& resu = *tab[base*max_points + indice] ;
    resu.set_etat_qcq() ;

    double* vect = new double[npoints] ;
    double* cres = new double[npoints] ;
    for (int i=0; i<npoints; i++) {
        for (int j=0; j<npoints; j++)
        vect[j] = 0. ;
        vect[i] = 1. ;
        d2sdx2_1d(npoints, &vect, base << TRA_R) ;
        if (base == R_CHEBU) {
        mult2_xm1_1d_cheb(npoints, vect, cres) ;
        for (int j=0; j<npoints; j++)
            resu.set(j,i) = cres[j] ;
        }
        else if (base == R_JACO02) {
        mult2_xp1_1d(npoints, &vect, base << TRA_R) ;
        for (int j=0; j<npoints; j++) 
            resu.set(j,i)= vect[j] ;
        }
        else {
        multx2_1d(npoints, &vect, base << TRA_R) ;
        for (int j=0; j<npoints; j++)
            resu.set(j,i) = vect[j] ;
        }
    }
    delete [] vect ;
    delete [] cres ;
    }
    
    return *tab[base*max_points + indice] ;
}

ostream& Diff_x2dsdx2::operator>>(ostream& ost) const {

    ost << " x^2 d2 / dx2 " << endl ;
    return ost ;

}

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