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/*----------------------------------------------------------------------------
ADOL-C -- Automatic Differentiation by Overloading in C++
File: sfunc_helmholtz.cpp
Revision: $Id$
Contents: function module containing Helmholtz energy function
Each << function module >> contains:
(1) const char* const controlFileName
(2) int indepDim;
(3) void initProblemParameters( void )
(4) void initIndependents( double* indeps )
(5) double originalScalarFunction( double* indeps )
(6) double tapingScalarFunction( int tag, double* indeps )
Copyright (c) Andrea Walther, Andreas Griewank, Andreas Kowarz,
Hristo Mitev, Sebastian Schlenkrich, Jean Utke, Olaf Vogel
This file is part of ADOL-C. This software is provided as open source.
Any use, reproduction, or distribution of the software constitutes
recipient's acceptance of the terms of the accompanying license file.
---------------------------------------------------------------------------*/
#define _SFUNC_HELMHOLTZ_C_
/****************************************************************************/
/* INCLUDES */
#include <adolc/adolc.h>
#include <cmath>
/****************************************************************************/
/* GLOBAL VARIABLES */
/*--------------------------------------------------------------------------*/
/* Control file name */
const char* controlFileName = "helmholtzexam.ctrl";
/*--------------------------------------------------------------------------*/
/* Dimensions */
int indepDim;
/*--------------------------------------------------------------------------*/
/* Other problem dependent parameters */
double *bv = NULL;
const double R = sqrt(2.0);
const double TE= 0.01; /* originally 0.0 */
/****************************************************************************/
/* INIT PROBLEM PARAMETERS */
void initProblemParameters( void ) {
fprintf(stdout,"HELMHOLTZ ENERGY (ADOL-C Example)\n\n");
if (indepDim <= 0) {
fprintf(stdout," number of independent variables = ? ");
fscanf(stdin,"%d",&indepDim);
fprintf(stdout,"\n");
}
}
/****************************************************************************/
/* INITIALIZE INDEPs */
void initIndependents( double* indeps ) {
int i;
double r = 1.0/indepDim;
if (bv)
delete[] bv;
bv = new double[indepDim];
for (i=0; i<indepDim; i++) {
indeps[i] = r*sqrt(1.0+i);
bv[i] = 0.02*(1.0+fabs(sin(double(i))));
}
}
/****************************************************************************/
/* ORIGINAL SCALAR FUNCTION */
/*--------------------------------------------------------------------------*/
/* Helmholtz energy */
double helmholtz( int dim, double* indeps, double* bv ) {
int i,j;
double he;
double xax, bx, tem;
xax = 0;
bx = 0;
he = 0;
for (i=0; i<dim; i++) {
he += indeps[i]*log(indeps[i]);
bx += bv[i]*indeps[i];
tem = (2.0/(1.0+i+i))*indeps[i];
for (j=0; j<i; j++)
tem += (1.0/(1.0+i+j))*indeps[j];
xax += indeps[i]*tem;
}
xax *= 0.5;
he = 1.3625E-3*(he-TE*log(1.0-bx));
he = he - log((1+bx*(1+R))/(1+bx*(1-R)))*xax/bx;
return he;
}
/*--------------------------------------------------------------------------*/
/* The interface function */
double originalScalarFunction( double* indeps ) {
return helmholtz(indepDim, indeps, bv);
}
/****************************************************************************/
/* TAPING SCALAR FUNCTION */
/*--------------------------------------------------------------------------*/
/* active Helmholtz energy */
adouble activeHelmholtz( int dim, adouble* indeps, double* bv ) {
int i,j;
adouble he;
adouble xax, bx, tem;
xax = 0;
bx = 0;
he = 0;
for (i=0; i<dim; i++) {
he += indeps[i]*log(indeps[i]);
bx += bv[i]*indeps[i];
tem = (2.0/(1.0+i+i))*indeps[i];
for (j=0; j<i; j++)
tem += (1.0/(1.0+i+j))*indeps[j];
xax += indeps[i]*tem;
}
xax *= 0.5;
he = 1.3625E-3*(he-TE*log(1.0-bx));
he = he - log((1+bx*(1+R))/(1+bx*(1-R)))*xax/bx;
return he;
}
/*--------------------------------------------------------------------------*/
/* The interface function */
double tapingScalarFunction( int tag, double* indeps ) {
int i;
trace_on(tag);
adouble* activeIndeps = new adouble[indepDim];
adouble* aIP = activeIndeps;
double* iP = indeps;
for (i=0; i<indepDim; i++)
*aIP++ <<= *iP++;
adouble ares = activeHelmholtz(indepDim, activeIndeps, bv);
double res = 0;
ares >>= res;
trace_off();
return res;
}
#undef _SFUNC_HELMHOLTZ_C_
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