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/*----------------------------------------------------------------------------
ADOL-C -- Automatic Differentiation by Overloading in C++
File: vfunc_eutroph.cpp
Revision: $Id: vfunc_eutroph.cpp 171 2010-10-04 13:57:19Z kulshres $
Contents: example for function module containing the eutroph example
(based on eutroph.C of version 1.7)
Each << function module >> contains:
(1) const char* const controlFileName
(2) int indepDim;
(3) int depDim;
(4) void initProblemParameters( void )
(5) void initIndependents( double* indEPS_ )
(6) void originalVectorFunction( double* indEPS_, double* dEPS_ )
(7) void tapingVectorFunction( int tag, double* indEPS_, double* dEPS_ )
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 _VFUNC_EUTROPH_C_
/****************************************************************************/
/* INCLUDES */
#include <adolc/adolc.h>
#include <math.h>
/****************************************************************************/
/* GLOBAL VARIABLES */
/*--------------------------------------------------------------------------*/
/* Control file name */
const char* controlFileName = "eutrophexam.ctrl";
/*--------------------------------------------------------------------------*/
/* Dimensions */
int indepDim;
int depDim;
/*--------------------------------------------------------------------------*/
/* Other problem dependent parameters */
const double IK = 0.11 ;
const double FRZ = 0.3 ;
const double EFFUZ = 0.6;
const double PRITZ = 1.0e-3;
const double RESP = 5.0e-3;
const double sinK = 5.0e-3;
const double PRITA = 0.1;
const double RZ = 1.0e-2;
const double K2 = 4.0e-2;
const double K3 = 5.0e-1;
const double KSP = 2.0e2;
const double KSF = 1.0;
const double BETA = 100.0/1.25;
const double ALPHA = 0.002;
const double TRZ = 2.0;
const double EPS_P = 0.4;
const double FI1 = 230.4;
const double FI3 = 282.8;
const double FI4 = 127.5;
const double FI5 = 141.9;
const double p = 40.0;
const double DEPTH = 45;
const double MORITZ= 0.075;
const double Q = 0.786E6;
const double VND = 0.265E9;
/* fix controls */
const double PRFOS = 0.5*p;
const double M = 0.1;
const double ZMIX = (45+RZ)/2;
const double QIV = 0.297E-02/3;
/****************************************************************************/
/* INIT PROBLEM PARAMETERS */
void initProblemParameters( void ) {
fprintf(stdout,"EUTROPHEXAM (ADOL-C Example)\n\n");
/* number of indEPS_ & dEPS_ */
indepDim = 5;
depDim = 5;
}
/****************************************************************************/
/* INITIALIZE INDEPS_ */
void initIndependents( double* indEPS_ ) {
indEPS_[0] = 0.5;
indEPS_[1] = 0.0005;
indEPS_[2] = 4.0;
indEPS_[3] = 0.01; /* originally 0.0 */
indEPS_[4] = 0.02; /* originally 0.0 */
}
/****************************************************************************/
/* ORIGINAL SCALAR FUNCTION */
/*--------------------------------------------------------------------------*/
/* The eutroph function */
void eutroph( double* indEPS_, double* dEPS_ ) {
double T, TEMP, FOTOP, I, PIDI, EPS_, temp, temp2, GROW;
double V;
T = indEPS_[4];
TEMP = 9.5+7.9*sin(T+FI1);
FOTOP = 12.0+4.19*sin(T+280.0);
I = 229.0+215.0*sin(T+FI3)+15.3*sin(2.0*T+FI4)+ 21.7*sin(3.0*T+FI5);
PIDI = 0.8+.25*cos(T)-.12*cos(2.*T);
V = VND;
if (T < 72)
I *= 0.603;
EPS_ = ALPHA * indEPS_[0] + indEPS_[3] + EPS_P;
temp = I * exp(-EPS_*ZMIX);
temp2 = 2*IK*FOTOP;
GROW = 1.2*FOTOP/EPS_/ZMIX * (1.333 * atan (I / temp2)
-IK*FOTOP / I * log( 1 + pow((I /temp2 ),2))
-1.333 * atan (temp / temp2)
+IK*FOTOP/temp* log( 1+pow(temp/temp2, 2) ))
* indEPS_[2] /(KSF+indEPS_[2])
* 0.366 * pow(K2,0.52) * exp(0.09*TEMP) * pow(indEPS_[0],(1-0.52));
dEPS_[0] = GROW - RESP * TEMP * indEPS_[0] - FRZ
* indEPS_[0] * indEPS_[1] - sinK * PIDI * indEPS_[0]
+ (PRITA - indEPS_[0]) * Q/VND;
dEPS_[1] = FRZ * indEPS_[0] / K2 * indEPS_[1] / 1000
* EFFUZ*KSP / KSP+indEPS_[0]
- RZ * indEPS_[1] - MORITZ * indEPS_[1] + (PRITZ - indEPS_[1] ) * Q/V;
dEPS_[2] = K3 * (-GROW + RESP * TEMP * indEPS_[0] + FRZ * indEPS_[0]
* indEPS_[1] * (1 - EFFUZ*KSP /(KSP+indEPS_[0]) ) + RZ * K2 * 1000 *
indEPS_[1] + MORITZ * K2 * 1000 * indEPS_[1] )
+ (PRFOS - indEPS_[2])* Q/V;
dEPS_[3] = (- indEPS_[3] * Q + BETA * M / TRZ)/VND;
dEPS_[4] = 1;
}
/*--------------------------------------------------------------------------*/
/* The interface function */
void originalVectorFunction( double* indEPS_, double* dEPS_ ) {
eutroph(indEPS_,dEPS_);
}
/****************************************************************************/
/* TAPING SCALAR FUNCTION */
/*--------------------------------------------------------------------------*/
/* The active eutroph function */
void activeEutroph( adouble* indEPS_, adouble* dEPS_ ) {
adouble T, TEMP, FOTOP, I, PIDI, EPS_, temp, temp2, GROW;
double V;
T = indEPS_[4];
TEMP = 9.5+7.9*sin(T+FI1);
FOTOP = 12.0+4.19*sin(T+280.0);
I = 229.0+215.0*sin(T+FI3)+15.3*sin(2.0*T+FI4)+ 21.7*sin(3.0*T+FI5);
PIDI = 0.8+.25*cos(T)-.12*cos(2.*T);
V = VND;
if (T < 72)
I *= 0.603;
EPS_ = ALPHA * indEPS_[0] + indEPS_[3] + EPS_P;
temp = I * exp(-EPS_*ZMIX);
temp2 = 2*IK*FOTOP;
GROW = 1.2*FOTOP/EPS_/ZMIX * (1.333 * atan (I / temp2)
-IK*FOTOP / I * log( 1 + pow((I /temp2 ),2))
-1.333 * atan (temp / temp2)
+IK*FOTOP/temp* log( 1+pow(temp/temp2, 2) ))
* indEPS_[2] /(KSF+indEPS_[2])
* 0.366 * pow(K2,0.52) * exp(0.09*TEMP) * pow(indEPS_[0],(1-0.52));
dEPS_[0] = GROW - RESP * TEMP * indEPS_[0] - FRZ
* indEPS_[0] * indEPS_[1] - sinK * PIDI * indEPS_[0]
+ (PRITA - indEPS_[0]) * Q/VND;
dEPS_[1] = FRZ * indEPS_[0] / K2 * indEPS_[1] / 1000
* EFFUZ*KSP / KSP+indEPS_[0]
- RZ * indEPS_[1] - MORITZ * indEPS_[1] + (PRITZ - indEPS_[1] ) * Q/V;
dEPS_[2] = K3 * (-GROW + RESP * TEMP * indEPS_[0] + FRZ * indEPS_[0]
* indEPS_[1] * (1 - EFFUZ*KSP /(KSP+indEPS_[0]) ) + RZ * K2 * 1000 *
indEPS_[1] + MORITZ * K2 * 1000 * indEPS_[1] )
+ (PRFOS - indEPS_[2])* Q/V;
dEPS_[3] = (- indEPS_[3] * Q + BETA * M / TRZ)/VND;
dEPS_[4] = 1;
}
/*--------------------------------------------------------------------------*/
/* The interface function */
void tapingVectorFunction( int tag, double* indEPS_, double* dEPS_ ) {
int i;
trace_on(tag);
adouble* activeIndEPS_ = new adouble[indepDim];
adouble* activeDEPS_ = new adouble[depDim];
adouble* aIP = activeIndEPS_;
double* iP = indEPS_;
for (i=0; i<indepDim; i++)
*aIP++ <<= *iP++;
activeEutroph(activeIndEPS_,activeDEPS_);
aIP = activeDEPS_;
iP = dEPS_;
for (i=0; i<depDim; i++)
*aIP++ >>= *iP++;
trace_off();
}
#undef _VFUNC_EUTROPH_C_
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