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/*
* Definition of class Ortho_poly
*/
/*
* 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 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: ortho_poly.C,v 1.3 2014/10/06 15:09:48 j_novak Exp $
* $Log: ortho_poly.C,v $
* Revision 1.3 2014/10/06 15:09:48 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2005/11/14 14:12:10 e_gourgoulhon
* Added include <assert.h>
*
* Revision 1.1 2005/11/14 01:57:00 e_gourgoulhon
* First version
*
*
* $Header: /cvsroot/Lorene/School05/Monday/ortho_poly.C,v 1.3 2014/10/06 15:09:48 j_novak Exp $
*
*/
#include <iostream>
using namespace std ;
#include <cstdlib>
#include <cmath>
#include <cassert>
#include "ortho_poly.h"
#include "grid.h"
//--------------------//
// Copy constructor //
//--------------------//
Ortho_poly::Ortho_poly(const Ortho_poly& pp) : nn(pp.nn) {
// Initialization of the pointers of the derived quantities to 0x0
p_gauss_nodes = 0x0 ;
p_gauss_weights = 0x0 ;
p_gauss_gamma = 0x0 ;
p_gauss_lobatto_nodes = 0x0 ;
p_gauss_lobatto_weights = 0x0 ;
p_gauss_lobatto_gamma = 0x0 ;
}
//---------------------------------//
// Constructor for derived classes //
//---------------------------------//
Ortho_poly::Ortho_poly(int ni) : nn(ni) {
assert(ni >= 0) ;
// Initialization of the pointers of the derived quantities to 0x0
p_gauss_nodes = 0x0 ;
p_gauss_weights = 0x0 ;
p_gauss_gamma = 0x0 ;
p_gauss_lobatto_nodes = 0x0 ;
p_gauss_lobatto_weights = 0x0 ;
p_gauss_lobatto_gamma = 0x0 ;
}
//--------------//
// Destructor //
//--------------//
Ortho_poly::~Ortho_poly() {
if (p_gauss_nodes != 0x0) delete p_gauss_nodes ;
if (p_gauss_weights != 0x0) delete [] p_gauss_weights ;
if (p_gauss_gamma != 0x0) delete [] p_gauss_gamma ;
if (p_gauss_lobatto_nodes != 0x0) delete p_gauss_lobatto_nodes ;
if (p_gauss_lobatto_weights != 0x0) delete [] p_gauss_lobatto_weights ;
if (p_gauss_lobatto_gamma != 0x0) delete [] p_gauss_lobatto_gamma ;
}
//--------------//
// Assignment //
//--------------//
void Ortho_poly::operator=(const Ortho_poly& ) {
cerr << "Ortho_poly::operator= not implemented !" << endl ;
abort() ;
}
//-------------//
// Accessors //
//-------------//
int Ortho_poly::n() const {
return nn ;
}
//-------------------------------------------------//
// Coefficients of Gauss interpolant polynomial //
//-------------------------------------------------//
void Ortho_poly::coef_interpolant_Gauss(double (*f)(double),
double* cf) const {
// Values of the function at the Gauss nodes
double* ff = new double[nn+1] ;
for (int i=0; i<=nn; i++) ff[i] = f( gauss_nodes()(i) ) ;
// Computation of the coefficients
for (int i=0; i<=nn; i++) {
double sum = 0 ;
for (int j=0; j<=nn; j++) {
sum += ff[j] * operator()(i, gauss_nodes()(j) )
* gauss_weight(j) ;
}
cf[i] = sum / gauss_gamma(i) ;
}
delete [] ff ;
}
//--------------------------------------------------------//
// Coefficients of Gauss-Lobatto interpolant polynomial //
//--------------------------------------------------------//
void Ortho_poly::coef_interpolant_GL(double (*f)(double),
double* cf) const {
// Values of the function at the Gauss-Lobatto nodes
double* ff = new double[nn+1] ;
for (int i=0; i<=nn; i++) ff[i] = f( gauss_lobatto_nodes()(i) ) ;
// Computation of the coefficients
for (int i=0; i<=nn; i++) {
double sum = 0 ;
for (int j=0; j<=nn; j++) {
sum += ff[j] * operator()(i, gauss_lobatto_nodes()(j) )
* gauss_lobatto_weight(j) ;
}
cf[i] = sum / gauss_lobatto_gamma(i) ;
}
delete [] ff ;
}
//----------------------------------------//
// Values of the interpolant polynomial //
//----------------------------------------//
double Ortho_poly::series(const double* a, double x) const {
double sum = 0 ;
for (int i=0; i<=nn; i++) {
sum += a[i] * operator()(i, x) ;
}
return sum ;
}
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