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/*
* Test of arithmetic Scalar & Mtbl and Scalar & Coord
*
*/
/*
* Copyright (c) 2005 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 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
*
*/
/*
* $Id: test_scalar_mtbl.C,v 1.4 2014/10/13 08:54:03 j_novak Exp $
* $Log: test_scalar_mtbl.C,v $
* Revision 1.4 2014/10/13 08:54:03 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.3 2014/10/06 15:12:56 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2005/11/17 16:32:35 e_gourgoulhon
* Added test of ETATZERO and ETATUN cases.
*
* Revision 1.1 2005/11/17 15:31:53 e_gourgoulhon
* Code for testing Scalar / Mtbl (or Coord) new arithmetics.
*
*
* $Header: /cvsroot/Lorene/Codes/Test/Tensor/test_scalar_mtbl.C,v 1.4 2014/10/13 08:54:03 j_novak Exp $
*
*/
// C headers
#include <cstdlib>
#include <cassert>
#include <cmath>
// Lorene headers
#include "headcpp.h" // standard input/output C++ headers (iostream, fstream)
#include "tensor.h" // classes Tensor, etc...
#include "nbr_spx.h" // defines infinity as an ordinary number: __infinity
#include "graphique.h" // for graphical outputs
#include "utilitaires.h" // utilities
using namespace Lorene ;
int main() {
// Setup of a multi-domain grid (Lorene class Mg3d)
// ------------------------------------------------
int nz = 3 ; // Number of domains
int nr = 17 ; // Number of collocation points in r in each domain
int nt = 9 ; // Number of collocation points in theta in each domain
int np = 8 ; // Number of collocation points in phi in each domain
int symmetry_theta = SYM ; // symmetry with respect to the equatorial plane
int symmetry_phi = NONSYM ; // no symmetry in phi
bool compact = true ; // external domain is compactified
// Multi-domain grid construction:
Mg3d mgrid(nz, nr, nt, np, symmetry_theta, symmetry_phi, compact) ;
cout << mgrid << endl ;
// Setup of an affine mapping : grid --> physical space (Lorene class Map_af)
// --------------------------------------------------------------------------
// radial boundaries of each domain:
double r_limits[] = {0., 1., 2., __infinity} ;
assert( nz == 3 ) ; // since the above array describes only 3 domains
Map_af map(mgrid, r_limits) ; // Mapping construction
cout << map << endl ;
// Denomination of various coordinates associated with the mapping
// ---------------------------------------------------------------
const Coord& r = map.r ;
const Coord& x = map.x ;
const Coord& y = map.y ;
const Coord& z = map.z ;
// Some scalar field to be used as a conformal factor
// --------------------------------------------------
Scalar aa(map) ;
aa = 1 + y*y ;
aa.std_spectral_base() ; // Standar polynomial bases will be used
// to perform the spectral expansions
cout << endl << "aa : " << endl ;
aa.spectral_display() ;
Scalar bb = aa * x ;
bb.std_spectral_base() ;
//cout << endl << "bb : " << endl ;
//bb.spectral_display() ;
Scalar bb0(map) ;
bb0 = (1+y*y) * x ;
cout << "test Scalar * Coord : " << max(abs(bb-bb0)) << endl ;
bb = x * aa ;
bb0 = x * (1+y*y) ;
cout << "test Coord * Scalar : " << max(abs(bb-bb0)) << endl ;
bb = aa / (1+x*x) ;
bb0 = (1+y*y) / (1+x*x) ;
cout << "test Scalar / Mtbl : " << max(abs(bb-bb0)) << endl ;
bb = x / aa ;
bb0 = x / (1+y*y) ;
cout << "test Coord / Scalar : " << max(abs(bb-bb0)) << endl ;
bb = x + aa ;
bb0 = x + (1+y*y) ;
cout << "test Coord + Scalar : " << max(abs(bb-bb0)) << endl ;
bb = aa + x ;
bb0 = x + (1+y*y) ;
cout << "test Scalar + Coord : " << max(abs(bb-bb0)) << endl ;
bb = x - aa ;
bb0 = x - (1+y*y) ;
cout << "test Coord - Scalar : " << max(abs(bb-bb0)) << endl ;
bb = aa - x ;
bb0 = (1+y*y) - x ;
cout << "test Scalar - Coord : " << max(abs(bb-bb0)) << endl ;
arrete() ;
// Special case ETATUN
cout << endl << "Special case ETATUN : " << endl ;
aa.set_etat_one() ;
bb = aa * x ;
bb0 = x ;
cout << "test Scalar(1) * Coord : " << max(abs(bb-bb0)) << endl ;
bb = x * aa ;
bb0 = x ;
cout << "test Coord * Scalar(1) : " << max(abs(bb-bb0)) << endl ;
bb = aa / (1+x*x) ;
bb0 = 1 / (1+x*x) ;
cout << "test Scalar(1) / Mtbl : " << max(abs(bb-bb0)) << endl ;
bb = x / aa ;
bb0 = x ;
cout << "test Coord / Scalar(1) : " << max(abs(bb-bb0)) << endl ;
bb = x + aa ;
bb0 = x + 1 ;
cout << "test Coord + Scalar(1) : " << max(abs(bb-bb0)) << endl ;
bb = aa + x ;
bb0 = x + 1 ;
cout << "test Scalar(1) + Coord : " << max(abs(bb-bb0)) << endl ;
bb = x - aa ;
bb0 = x - 1 ;
cout << "test Coord - Scalar(1) : " << max(abs(bb-bb0)) << endl ;
bb = aa - x ;
bb0 = 1 - x ;
cout << "test Scalar(1) - Coord : " << max(abs(bb-bb0)) << endl ;
// Special case ETATZERO
cout << endl << "Special case ETATZERO : " << endl ;
aa.set_etat_zero() ;
bb = aa * x ;
bb0 = 0 ;
cout << "test Scalar(0) * Coord : " << max(abs(bb-bb0)) << endl ;
bb = x * aa ;
bb0 = 0 ;
cout << "test Coord * Scalar(0) : " << max(abs(bb-bb0)) << endl ;
bb = aa / (1+x*x) ;
bb0 = 0 ;
cout << "test Scalar(0) / Mtbl : " << max(abs(bb-bb0)) << endl ;
bb = x + aa ;
bb0 = x ;
cout << "test Coord + Scalar(0) : " << max(abs(bb-bb0)) << endl ;
bb = aa + x ;
bb0 = x ;
cout << "test Scalar(0) + Coord : " << max(abs(bb-bb0)) << endl ;
bb = x - aa ;
bb0 = x ;
cout << "test Coord - Scalar(0) : " << max(abs(bb-bb0)) << endl ;
bb = aa - x ;
bb0 = - x ;
cout << "test Scalar(0) - Coord : " << max(abs(bb-bb0)) << endl ;
arrete() ;
Mtbl mc(mgrid) ;
mc.set_etat_zero() ;
aa = 1 + y*y ;
bb = aa * mc ;
bb0 = 0 ;
cout << "test Scalar * Mtbl(0) : " << max(abs(bb-bb0)) << endl ;
bb = mc * aa ;
bb0 = 0 ;
cout << "test Mtbl(0) * Scalar : " << max(abs(bb-bb0)) << endl ;
bb = mc / aa ;
bb0 = 0 ;
cout << "test Mtbl(0) / Scalar : " << max(abs(bb-bb0)) << endl ;
bb = mc + aa ;
bb0 = (1+y*y) ;
cout << "test Mtbl(0) + Scalar : " << max(abs(bb-bb0)) << endl ;
bb = aa + mc ;
bb0 = (1+y*y) ;
cout << "test Scalar + Mtbl(0) : " << max(abs(bb-bb0)) << endl ;
bb = mc - aa ;
bb0 = - (1+y*y) ;
cout << "test Mtbl(0) - Scalar : " << max(abs(bb-bb0)) << endl ;
bb = aa - mc ;
bb0 = (1+y*y) ;
cout << "test Scalar - Mtbl(0) : " << max(abs(bb-bb0)) << endl ;
arrete() ;
// Special case ETATUN
cout << endl << "Special case Scalar = ETATUN and Mtbl = ETATZERO: " << endl ;
aa.set_etat_one() ;
bb = aa * mc ;
bb0 = 0 ;
cout << "test Scalar(1) * Mtbl(0) : " << max(abs(bb-bb0)) << endl ;
bb = mc * aa ;
bb0 = 0 ;
cout << "test Mtbl(0) * Scalar(1) : " << max(abs(bb-bb0)) << endl ;
bb = mc / aa ;
bb0 = 0 ;
cout << "test Mtbl(0) / Scalar(1) : " << max(abs(bb-bb0)) << endl ;
bb = mc + aa ;
bb0 = 1 ;
cout << "test Mtbl(0) + Scalar(1) : " << max(abs(bb-bb0)) << endl ;
bb = aa + mc ;
bb0 = 1 ;
cout << "test Scalar(1) + Mtbl(0) : " << max(abs(bb-bb0)) << endl ;
bb = mc - aa ;
bb0 = - 1 ;
cout << "test Mtbl(0) - Scalar(1) : " << max(abs(bb-bb0)) << endl ;
bb = aa - mc ;
bb0 = 1 ;
cout << "test Scalar(1) - Mtbl(0) : " << max(abs(bb-bb0)) << endl ;
return EXIT_SUCCESS ;
}
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