sx_1d.C
/*
* Copyright (c) 2006 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 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
*
*/
char sx_1d_C[] = "$Header: /cvsroot/Lorene/C++/Source/Non_class_members/Operators/sx_1d.C,v 1.4 2015/03/05 08:49:32 j_novak Exp $" ;
/*
* $Id: sx_1d.C,v 1.4 2015/03/05 08:49:32 j_novak Exp $
* $Log: sx_1d.C,v $
* Revision 1.4 2015/03/05 08:49:32 j_novak
* Implemented operators with Legendre bases.
*
* Revision 1.3 2014/10/13 08:53:27 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.2 2014/10/06 15:16:07 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.1 2006/04/10 15:19:20 j_novak
* New definition of 1D operators dsdx and sx in the nucleus (bases R_CHEBP and
* R_CHEBI).
*
*
* $Header: /cvsroot/Lorene/C++/Source/Non_class_members/Operators/sx_1d.C,v 1.4 2015/03/05 08:49:32 j_novak Exp $
*
*/
// Includes
#include <cstdlib>
#include "headcpp.h"
#include "type_parite.h"
#include "proto.h"
/*
* 1/x operator (division by x)
*
* Only for the bases R_CHEBP and R_CHEBI
*
* Input :
*
* int nr : number of coefficients
* tb : the array of coefficients of the input function
*
* Output :
* tb : the array of coefficients of the result
*/
//----------------------------
// Bases not implemented -----
//----------------------------
namespace Lorene {
void _sx_1d_pas_prevu(int , double* , double *) {
cout << "sx_1d : base not implemented..." << endl ;
abort() ;
exit(-1) ;
}
//-------------------
// case R_CHEBP ---
//-------------------
void _sx_1d_r_chebp (int nr, double* tb, double* res) {
double som ;
int sign = 1 ;
res[nr-1] = 0 ;
som = 2 * sign * tb[nr-1] ;
res[nr-2] = som ;
for (int i=nr-3 ; i>=0 ; i--) {
sign = - sign ;
som += 2 * sign * tb[i+1] ;
res[i] = (i%2 == 0 ? -1 : 1) * som ;
}
}
//-------------------
// case R_CHEBI ---
//-------------------
void _sx_1d_r_chebi (int nr, double* tb, double* res) {
double som ;
int sign = 1 ;
res[nr-1] = 0 ;
som = 2 * sign * tb[nr-2] ;
res[nr-2] = som ;
for (int i=nr-3 ; i>=0 ; i--) {
sign = - sign ;
som += 2 * sign * tb[i] ;
res[i] = (i%2 == 0 ? -1 : 1) * som ;
}
res[0] *= 0.5 ;
}
//-------------------
// case R_CHEBU ---
//-------------------
void _sx_1d_r_chebu (int nr, double* tb, double* res) {
for (int i=0; i<nr; i++)
res[i] = tb[i] ;
sxm1_1d_cheb(nr, res) ;
}
//------------------
// case R_LEGP ---
//------------------
void _sx_1d_r_legp (int nr, double* tb, double* res) {
double term = 0 ;
res[nr-1] = 0 ;
for (int i=nr-2 ; i>=0 ; i--) {
term += tb[i+1] ;
res[i] = double(4*i+3)/double(2*i+2)*term ;
term *= -double(2*i+1)/double(2*i+2) ;
}
}
//------------------
// case R_LEGI ---
//------------------
void _sx_1d_r_legi (int nr, double* tb, double* res) {
double term = 0 ;
res[nr-1] = 0 ;
for (int i=nr-2; i>=0; i--) {
term += tb[i] ;
res[i] = double(4*i+1)/double(2*i+1)*term ;
term *= -double(2*i)/double(2*i+1) ;
}
}
// ----------------------
// The calling function
//-----------------------
void sx_1d(int nr, double **tb, int base_r)
{
static void (*sx_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++) {
sx_1d[i] = _sx_1d_pas_prevu ;
}
// Les routines existantes
sx_1d[R_CHEBP >> TRA_R] = _sx_1d_r_chebp ;
sx_1d[R_CHEBI >> TRA_R] = _sx_1d_r_chebi ;
sx_1d[R_LEGP >> TRA_R] = _sx_1d_r_legp ;
sx_1d[R_LEGI >> TRA_R] = _sx_1d_r_legi ;
sx_1d[R_CHEBU >> TRA_R] = _sx_1d_r_chebu ;
}
double *result = new double[nr] ;
sx_1d[base_r](nr, *tb, result) ;
delete [] (*tb) ;
(*tb) = result ;
}
}
R_LEGP
#define R_LEGP
base de Legendre paire (rare) seulement
Definition type_parite.h:184
MAX_BASE
#define MAX_BASE
Nombre max. de bases differentes.
Definition type_parite.h:144
R_CHEBU
#define R_CHEBU
base de Chebychev ordinaire (fin), dev. en 1/r
Definition type_parite.h:180
R_LEGI
#define R_LEGI
base de Legendre impaire (rare) seulement
Definition type_parite.h:186
R_CHEBI
#define R_CHEBI
base de Cheb. impaire (rare) seulement
Definition type_parite.h:170
TRA_R
#define TRA_R
Translation en R, used for a bitwise shift (in hex).
Definition type_parite.h:158
R_CHEBP
#define R_CHEBP
base de Cheb. paire (rare) seulement
Definition type_parite.h:168
Lorene
Lorene prototypes.
Definition app_hor.h:64