/usr/include/lorene/C++/Include/change_var.h is in liblorene-dev 0.0.0~cvs20161116+dfsg-1ubuntu4.
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* Definition of Lorene class Change_var
*
*/
/*
* Copyright (c) 2003 Philippe Grandclement
*
* 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
*
*/
#ifndef __CHANGE_VAR_H_
#define __CHANGE_VAR_H_
/*
* $Id: change_var.h,v 1.6 2014/10/13 08:52:32 j_novak Exp $
* $Log: change_var.h,v $
* Revision 1.6 2014/10/13 08:52:32 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.5 2004/06/22 08:49:56 p_grandclement
* Addition of everything needed for using the logarithmic mapping
*
* Revision 1.4 2004/05/14 08:51:00 p_grandclement
* *** empty log message ***
*
* Revision 1.3 2004/03/23 14:54:45 j_novak
* More documentation
*
* Revision 1.2 2004/03/05 09:18:48 p_grandclement
* Addition of operator sec_order_r2
*
* Revision 1.1 2003/12/11 14:57:00 p_grandclement
* I had forgotten the .h (sorry folks...)
*
*
* $Header: /cvsroot/Lorene/C++/Include/change_var.h,v 1.6 2014/10/13 08:52:32 j_novak Exp $
*
*/
#include "proto.h"
// Defines the various types of variable changes with the associated
// functions F, G, F' and G'
#define STD 1
double one (double) ;
double zero (double) ;
#define W_BETA 2
double ide (double) ;
#define W_BETA_INF 3
double part_ln (double) ;
double part_ln_der (double) ;
#define H_BETA 4
#define LAMBDA_RN 5
double plus_log(double) ;
double moins_sur(double) ;
#define NU_RN 6
double moins_log(double) ;
double plus_sur(double) ;
namespace Lorene {
/**
* This class defines a variable change to be used when solving
* elliptic equations. In {\em one particular domain},
* the change is defined as
* follows : \ingroup (ellip)
*
* \f$W = F\left(r\right) + G \left(r\right) w\f$
*
* where \f$W\f$ is the usual variable, i.e. the one that is \f$\mathcal{C}^1\f$
* and \f$w\f$ is the variable used for solving the elliptic equation.
* The functions \f$F\f$ and \f$G\f$ are arbitrary functions of \f$r\f$.
* The type of change must be explicitely implemented in the constructor for
* {\tt Change_var}.
*
**/
class Change_var {
protected:
double (* func_F) (double) ; /// Pointer on the function \f$F\f$.
double (* der_F) (double) ; /// Pointer on the derivative of \f$F\f$.
double (* func_G) (double) ; /// Pointer on the function \f$G\f$.
double (* der_G) (double) ; /// Pointer on the derivative of \f$G\f$.
double mult_F ; /// Multiplicative factor for F ## PROVISORY
double add_F ; /// Additive factor for F ## PROVISORY
public:
/**
* Standard constructor. Case with without parameter.
* {\tt var} defines explicitely the type of variable to be used.
* Are currently implemented :
* \begin{itemize}
* \item {\tt var} \f$= {\rm STD} \Longrightarrow F=0 \, \& \, G=1\f$.
* \item {\tt var} \f$= {\rm W\_BETA} \Longrightarrow F=1 \, \& \, G = r\f$.
* \item {\tt var} \f$= {\rm W\_BETA\_INF} \Longrightarrow F = 1+ \frac{1}{3}r^2\ln r \, \& \, G = r\f$.
* \item {\tt var} \f$= {\rm H\_BETA} \Longrightarrow F=1 \, \&\, G=1\f$.
* \item {\tt var} \f$= {\rm LAMBDA_RN} \Longrightarrow F=-\ln r \, \& \, G=1\f$.
* \item {\tt var} \f$= {\rm NU_RN} \Longrightarrow F=\ln r \, \& \, G=1\f$.
* \end{itemize}
**/
Change_var (int var) ;
/**
* Standard constructor. Case with one multiplicative parameter for F
* {\tt var} defines explicitely the type of variable to be used.
**/
Change_var (int var, double) ;
/**
* Standard constructor. Case with one multiplicative parameter for F and one additive.
* {\tt var} defines explicitely the type of variable to be used.
**/
Change_var (int var, double, double) ;
Change_var (const Change_var& so) ; /// Constructor by copy.
~Change_var() ; /// Standard destructor.
public:
double val_F (double x) ; /// Returns the value of \f$F\f$ at {\tt x}.
double val_der_F (double x) ; /// Returns the value of \f$F'\f$ at {\tt x}.
double val_G (double x) ; /// Returns the value of \f$G\f$ at {\tt x}.
double val_der_G (double x) ; /// Returns the value of \f$G'\f$ at {\tt x}.
} ;
}
#endif
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