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/*----------------------------------------------------------------------------
ADOL-C -- Automatic Differentiation by Overloading in C++
File: vfunc_fic.cpp
Revision: $Id: vfunc_fic.cpp 171 2010-10-04 13:57:19Z kulshres $
Contents: example for function module containing the flow in a channel
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_FIC_C_
/****************************************************************************/
/* INCLUDES */
#include <adolc/adolc.h>
#include <math.h>
/****************************************************************************/
/* GLOBAL VARIABLES */
/*--------------------------------------------------------------------------*/
/* Control file name */
const char* controlFileName = "ficexam.ctrl";
/*--------------------------------------------------------------------------*/
/* Dimensions */
int indepDim;
int depDim;
/*--------------------------------------------------------------------------*/
/* Other problem dependent parameters */
int nIntern;
double r__;
/****************************************************************************/
/* INIT PROBLEM PARAMETERS */
void initProblemParameters( void ) {
fprintf(stdout,"FICEXAM Flow in a channel (ADOL-C Example)\n\n");
/* number of indeps & deps */
if (indepDim > 0)
nIntern = indepDim;
else {
fprintf(stdout," number of independents/8 = ? ");
fscanf(stdin,"%d",&nIntern);
fprintf(stdout,"\n");
}
indepDim = nIntern*8;
depDim = indepDim;
}
/****************************************************************************/
/* INITIALIZE INDEPs */
void initIndependents( double* indeps ) {
int i, j, var;
double xt, h;
h = 1.0/nIntern;
xt = 0.0;
for (i=1; i<=nIntern; i++) {
var = 8*(i-1);
indeps[var] = xt*xt*(3.0-2.0*xt);
indeps[var+1] = 6.0 * xt * (1.0 - xt);
indeps[var+2] = 6.0 * (1.0 -2.0*xt);
indeps[var+3] = -12.0;
for (j=1; j<=4; j++)
indeps[var+3+j] = 0.0;
xt = xt + h;
}
r__ = 0;
}
/****************************************************************************/
/* ORIGINAL SCALAR FUNCTION */
/*--------------------------------------------------------------------------*/
/* The fic function */
int pdficfj ( int n, double* x, double* fvec, double r__, int nIntern ) { /* Initialized data */
static double rho[4] = { .0694318413734436035, .330009490251541138,
.66999053955078125, .930568158626556396 };
/* System generated locals */
int i__1;
/* Local variables */
static double h__;
static int i__, j, k, m;
static double w[5], nf, hm, dw[40] /* was [5][8] */, rhnfhk[1280]
/* was [4][8][8][5] */, rhoijh;
static int eqn, var;
--fvec;
--x;
/* Function Body */
/* Initialization. */
h__ = 1. / (double) (nIntern);
hm = 1.;
for (m = 0; m <= 4; ++m) {
for (i__ = 1; i__ <= 4; ++i__) {
rhoijh = hm;
for (j = 0; j <= 7; ++j) {
nf = 1.;
for (k = 0; k <= 7; ++k) {
rhnfhk[i__ + (j + (k + (m << 3) << 3) << 2) - 1] = rhoijh
/ nf;
nf *= (double) (k + 1);
}
rhoijh *= rho[i__ - 1];
}
}
hm *= h__;
}
/* Evaluate the function */
/* Initialize arrays. */
i__1 = n;
for (j = 1; j <= i__1; ++j) {
fvec[j] = 0.;
}
for (k = 1; k <= 8; ++k) {
for (j = 1; j <= 5; ++j) {
dw[j + k * 5 - 6] = 0.;
}
}
/* Set up the boundary equations at t = 0. u(0) = 0, u'(0) = 0. */
fvec[1] = x[1];
fvec[2] = x[2];
i__1 = nIntern;
for (i__ = 1; i__ <= i__1; ++i__) {
var = i__ - 1 << 3;
/* Set up the collocation equations. */
eqn = var + 2;
for (k = 1; k <= 4; ++k) {
for (m = 1; m <= 5; ++m) {
w[m - 1] = 0.;
for (j = m; j <= 4; ++j) {
w[m - 1] += rhnfhk[k + (j - m + (j - m + (j - m << 3) <<
3) << 2) - 1] * x[var + j];
dw[m + j * 5 - 6] = rhnfhk[k + (j - m + (j - m + (j - m
<<
3) << 3) << 2) - 1];
}
for (j = 1; j <= 4; ++j) {
w[m - 1] += rhnfhk[k + (j + 4 - m + (j + 4 - m + (4 - m
+
1 << 3) << 3) << 2) - 1] * x[var + 4 + j];
dw[m + (j + 4) * 5 - 6] = rhnfhk[k + (j + 4 - m + (j + 4
- m + (4 - m + 1 << 3) << 3) << 2) - 1];
}
}
fvec[eqn + k] = w[4] - r__ * (w[1] * w[2] - w[0] * w[3]);
}
/* Set up the continuity equations. */
eqn = var + 6;
for (m = 1; m <= 4; ++m) {
w[m - 1] = 0.;
for (j = m; j <= 4; ++j) {
w[m - 1] += rhnfhk[(j - m + (j - m << 3)) * 32] * x[var + j]
;
dw[m + j * 5 - 6] = rhnfhk[(j - m + (j - m << 3)) * 32];
}
for (j = 1; j <= 4; ++j) {
w[m - 1] += rhnfhk[(j + 4 - m + (4 - m + 1 << 3)) * 32] * x[
var + 4 + j];
dw[m + (j + 4) * 5 - 6] = rhnfhk[(j + 4 - m + (4 - m + 1 <<
3)
) * 32];
}
}
if (i__ == nIntern) {
goto L230;
}
for (m = 1; m <= 4; ++m) {
fvec[eqn + m] = x[var + 8 + m] - w[m - 1];
}
}
/* Set up the boundary equations at t = 1. u(1) = 1, u'(1) = 0. */
L230:
fvec[n - 1] = w[0] - 1.;
fvec[n] = w[1];
return 0;
}
/*--------------------------------------------------------------------------*/
/* The interface function */
void originalVectorFunction( double* indeps, double* deps ) {
pdficfj(indepDim,indeps,deps,r__,nIntern);
}
/****************************************************************************/
/* TAPING SCALAR FUNCTION */
/*--------------------------------------------------------------------------*/
/* The active fic function */
int dficfj( int n, adouble* x, adouble* fvec, double r__, int nIntern ) {
/* Initialized data */
static adouble rho[4] = { .0694318413734436035, .330009490251541138,
.66999053955078125, .930568158626556396 };
/* System generated locals */
int i__1;
/* Local variables */
static adouble h__;
static int i__, j, k, m;
static adouble nf, hm, dw[40] /* was [5][8] */, rhnfhk[1280]
/* was [4][8][8][5] */, rhoijh;
static int eqn, var;
adouble w[5];
--fvec;
--x;
/* Function Body */
/* Initialization. */
h__ = 1. / (double) (nIntern);
hm = 1.;
for (m = 0; m <= 4; ++m) {
for (i__ = 1; i__ <= 4; ++i__) {
rhoijh = hm;
for (j = 0; j <= 7; ++j) {
nf = 1.;
for (k = 0; k <= 7; ++k) {
rhnfhk[i__ + (j + (k + (m << 3) << 3) << 2) - 1] = rhoijh
/ nf;
nf *= (double) (k + 1);
}
rhoijh *= rho[i__ - 1];
}
}
hm *= h__;
}
/* Evaluate the function */
/* Initialize arrays. */
i__1 = n;
for (j = 1; j <= i__1; ++j) {
fvec[j] = 0.;
}
for (k = 1; k <= 8; ++k) {
for (j = 1; j <= 5; ++j) {
dw[j + k * 5 - 6] = 0.;
}
}
/* Set up the boundary equations at t = 0. u(0) = 0, u'(0) = 0. */
fvec[1] = x[1];
fvec[2] = x[2];
i__1 = nIntern;
for (i__ = 1; i__ <= i__1; ++i__) {
var = i__ - 1 << 3;
/* Set up the collocation equations. */
eqn = var + 2;
for (k = 1; k <= 4; ++k) {
for (m = 1; m <= 5; ++m) {
w[m - 1] = 0.;
for (j = m; j <= 4; ++j) {
w[m - 1] += rhnfhk[k + (j - m + (j - m + (j - m << 3) <<
3) << 2) - 1] * x[var + j];
dw[m + j * 5 - 6] = rhnfhk[k + (j - m + (j - m + (j - m
<<
3) << 3) << 2) - 1];
}
for (j = 1; j <= 4; ++j) {
w[m - 1] += rhnfhk[k + (j + 4 - m + (j + 4 - m + (4 - m
+
1 << 3) << 3) << 2) - 1] * x[var + 4 + j];
dw[m + (j + 4) * 5 - 6] = rhnfhk[k + (j + 4 - m + (j + 4
- m + (4 - m + 1 << 3) << 3) << 2) - 1];
}
}
fvec[eqn + k] = w[4] - r__ * (w[1] * w[2] - w[0] * w[3]);
}
/* Set up the continuity equations. */
eqn = var + 6;
for (m = 1; m <= 4; ++m) {
w[m - 1] = 0.;
for (j = m; j <= 4; ++j) {
w[m - 1] += rhnfhk[(j - m + (j - m << 3)) * 32] * x[var + j]
;
dw[m + j * 5 - 6] = rhnfhk[(j - m + (j - m << 3)) * 32];
}
for (j = 1; j <= 4; ++j) {
w[m - 1] += rhnfhk[(j + 4 - m + (4 - m + 1 << 3)) * 32] * x[
var + 4 + j];
dw[m + (j + 4) * 5 - 6] = rhnfhk[(j + 4 - m + (4 - m + 1 <<
3)
) * 32];
}
}
if (i__ != nIntern) {
for (m = 1; m <= 4; ++m) {
fvec[eqn + m] = x[var + 8 + m] - w[m - 1];
}
}
}
/* Set up the boundary equations at t = 1. u(1) = 1, u'(1) = 0. */
fvec[n - 1] = w[0] - 1.;
fvec[n] = w[1];
return 0;
}
/*--------------------------------------------------------------------------*/
/* 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++;
dficfj(indepDim,activeIndeps,activeDeps,r__,nIntern);
aIP = activeDeps;
iP = deps;
for (i=0; i<depDim; i++)
*aIP++ >>= *iP++;
trace_off();
}
#undef _VFUNC_FIC_C_
|
