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/*
* Test code for LORENE Matrice class and LAPACK
*/
/*
* Copyright (c) 2001 Eric Gourgoulhon
*
* 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: test_lapack.C,v 1.4 2014/10/13 08:54:08 j_novak Exp $
* $Log: test_lapack.C,v $
* Revision 1.4 2014/10/13 08:54:08 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.3 2014/10/06 15:07:36 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2002/10/16 14:37:19 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 15:19:31 e_gourgoulhon
* LORENE
*
*
* $Header: /cvsroot/Lorene/Test/test_lapack.C,v 1.4 2014/10/13 08:54:08 j_novak Exp $
*
*/
// C headers:
#include <cmath>
// Lorene headers
#include "matrice.h"
using namespace Lorene ;
int main() {
Matrice a(3, 3) ;
a.set_etat_qcq() ;
for (int i=0; i<3; i++) {
for (int j=0; j<3; j++) {
a.set(i, j) = 0 ;
}
}
a.set(0, 0) = 1 ;
a.set(1, 1) = 1 ;
a.set(2, 2) = 1 ;
a.set(1, 2) = 1 ;
a.set(2, 1) = -1 ;
a.set(0, 2) = 2 ;
a.set(1, 0) = -3 ;
Tbl x0(3) ;
x0.set_etat_qcq() ;
for (int i=0; i<3; i++) {
x0.set(i) = 1+i ;
}
Tbl y(3) ;
y.set_etat_qcq() ;
for (int i=0; i<3; i++) {
y.set(i) = 0 ;
for (int j=0; j<3; j++) {
y.set(i) += a(i, j) * x0(j) ;
}
}
a.set_band(2, 2) ;
a.set_lu() ;
Tbl x = a.inverse(y) ;
cout << "Matrix a : " << endl ;
cout << a << endl ;
cout << "Det(a) = " << a.determinant() << endl ;
cout << "R.H.S. y : " << endl ;
cout << y << endl ;
cout << "Test of resolution of the system A.x = y : " << endl ;
for (int i=0; i<3; i++) {
cout << x(i) - x0(i) << endl ;
}
return EXIT_SUCCESS ;
}
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