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/*----------------------------------------------------------------------------
ADOL-C -- Automatic Differentiation by Overloading in C++
File: vfunc_shuttle.cpp
Revision: $Id$
Contents: Example of function module containing the shuttle example
(based on shuttlexam.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_SHUTTLE_C_
/****************************************************************************/
/* INCLUDES */
#include <adolc/adolc.h>
#include <cmath>
/****************************************************************************/
/* GLOBAL VARIABLES */
/*--------------------------------------------------------------------------*/
/* Control file name */
const char* controlFileName = "shuttlexam.ctrl";
/*--------------------------------------------------------------------------*/
/* Dimensions */
int indepDim;
int depDim;
/*--------------------------------------------------------------------------*/
/* Other problem dependent parameters */
const double Pi = 3.141592654;
const double ae = 20902900.0;
const double mu = 0.14E+17;
const double a = 40.0;
const double S = 2690.0;
const double crtd = 180.0/Pi;
const double cl = 0.84-0.48*(38.0-a*crtd)/26.0;
const double C0 = 3.974960446019;
const double C1 = -0.01448947694635;
const double C2 = -0.2156171551995e-4;
const double C3 = -0.1089609507291e-7;
const double V0 = 0.0;
const double ma = 5964.496499824;
const double Om = .72921159e-4;
/****************************************************************************/
/* INIT PROBLEM PARAMETERS */
void initProblemParameters( void ) {
fprintf(stdout,"SHUTTLEXAM (ADOL-C Example)\n\n");
/* number of indeps & deps */
indepDim = 14;
depDim = 7;
}
/****************************************************************************/
/* INITIALIZE INDEPs */
void initIndependents( double* indeps ) {
indeps[0] = 264039.328; /* H */
indeps[1] = 177.718047; /* x */
indeps[2] = 32.0417885; /* l */
indeps[3] = 24317.0798; /* V */
indeps[4] = -0.749986488; /* g */
indeps[5] = 62.7883367; /* A */
indeps[6] = 41.100771834; /* b */
indeps[7] = -318; /* Hp */
indeps[8] = 0.01; /* xp */
indeps[9] = 0.1; /* lp */
indeps[10] = -3.6; /* Vp */
indeps[11] = 0.001; /* gp */
indeps[12] = 0.1; /* Ap */
indeps[13] = 0.06; /* bp */
}
/****************************************************************************/
/* ORIGINAL SCALAR FUNCTION */
/*--------------------------------------------------------------------------*/
/* The shuttle function */
void shuttle( double* indeps, double* deps ) {
double r,gr,rho,L,cd,Z;
double sing,cosg,sinA,cosA,sinl,cosl,tanl;
r = indeps[0]+ae;
gr = mu/(r*r);
rho= 0.002378*exp(-indeps[0]/23800.0);
L = 0.5*rho*cl*S*indeps[3]*indeps[3];
cd = 0.78-0.58*(38.0-a*crtd)/26.0;
Z = .5*rho*cd*S*indeps[3]*indeps[3];
// evaluate the dynamic equations ...
sinA = sin(indeps[5]);
cosA = cos(indeps[5]);
sing = sin(indeps[4]);
cosg = cos(indeps[4]);
sinl = sin(indeps[2]);
cosl = cos(indeps[2]);
tanl = sinl/cosl;
deps[0] = indeps[3]*sing-indeps[7];
deps[1] = indeps[3]*cosg*sinA/(r*cosl)-indeps[8];
deps[2] = indeps[3]*cosg*cosA/r-indeps[9];
deps[3] = -Z/ma-gr*sing-Om*Om*r*cosl
*(sinl*cosA*cosg-cosl*sing)-indeps[10];
deps[4] = L*cos(indeps[6])/(ma*indeps[3])
+cosl/indeps[3]*(indeps[3]*indeps[3]/r-gr)
+2*Om*cosl*sinA
+Om*Om*r*cosl/indeps[3]*(sinl*cosA*sing+cosl*cosg)
-indeps[11];
deps[5] = L*sin(indeps[6])/(ma*indeps[3]*cosg)+indeps[3]/r*cosg*sinA*tanl
-2*Om*(cosl*cosA*sing/cosg-sinl)
+Om*Om*r*cosl*sinl*sinA/(indeps[3]*cosg)-indeps[12];
deps[6] = Z/ma
-(C0+(indeps[3]-V0)*(C1+(indeps[3]-V0)*(C2+(indeps[3]-V0)*C3)));
}
/*--------------------------------------------------------------------------*/
/* The interface function */
void originalVectorFunction( double* indeps, double* deps ) {
shuttle(indeps,deps);
}
/****************************************************************************/
/* TAPING SCALAR FUNCTION */
/*--------------------------------------------------------------------------*/
/* The active shuttle function */
void activeShuttle( adouble* indeps, adouble* deps ) {
adouble r,gr,rho,L,cd,Z;
adouble sing,cosg,sinA,cosA,sinl,cosl,tanl;
r = indeps[0]+ae;
gr = mu/(r*r);
rho= 0.002378*exp(-indeps[0]/23800.0);
L = 0.5*rho*cl*S*indeps[3]*indeps[3];
cd = 0.78-0.58*(38.0-a*crtd)/26.0;
Z = .5*rho*cd*S*indeps[3]*indeps[3];
// evaluate the dynamic equations ...
sinA = sin(indeps[5]);
cosA = cos(indeps[5]);
sing = sin(indeps[4]);
cosg = cos(indeps[4]);
sinl = sin(indeps[2]);
cosl = cos(indeps[2]);
tanl = sinl/cosl;
deps[0] = indeps[3]*sing-indeps[7];
deps[1] = indeps[3]*cosg*sinA/(r*cosl)-indeps[8];
deps[2] = indeps[3]*cosg*cosA/r-indeps[9];
deps[3] = -Z/ma-gr*sing-Om*Om*r*cosl
*(sinl*cosA*cosg-cosl*sing)-indeps[10];
deps[4] = L*cos(indeps[6])/(ma*indeps[3])
+cosl/indeps[3]*(indeps[3]*indeps[3]/r-gr)
+2*Om*cosl*sinA
+Om*Om*r*cosl/indeps[3]*(sinl*cosA*sing+cosl*cosg)
-indeps[11];
deps[5] = L*sin(indeps[6])/(ma*indeps[3]*cosg)+indeps[3]/r*cosg*sinA*tanl
-2*Om*(cosl*cosA*sing/cosg-sinl)
+Om*Om*r*cosl*sinl*sinA/(indeps[3]*cosg)-indeps[12];
deps[6] = Z/ma
-(C0+(indeps[3]-V0)*(C1+(indeps[3]-V0)*(C2+(indeps[3]-V0)*C3)));
}
/*--------------------------------------------------------------------------*/
/* 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++;
activeShuttle(activeIndeps,activeDeps);
aIP = activeDeps;
iP = deps;
for (i=0; i<depDim; i++)
*aIP++ >>= *iP++;
trace_off();
}
#undef _VFUNC_SHUTTLE_C_
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