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/*----------------------------------------------------------------------------
ADOL-C -- Automatic Differentiation by Overloading in C++
File: sfunc_determinant.cpp
Revision: $Id$
Contents: function module containing the determinant example
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_DETERMINANT_C_
/****************************************************************************/
/* INCLUDES */
#include <adolc/adolc.h>
/****************************************************************************/
/* GLOBAL VARIABLES */
/*--------------------------------------------------------------------------*/
/* Control file name */
const char* controlFileName = "detexam.ctrl";
/*--------------------------------------------------------------------------*/
/* Dimensions */
int indepDim;
/*--------------------------------------------------------------------------*/
/* Other problem dependent parameters */
int matrixDim;
int mRec;
/****************************************************************************/
/* INIT PROBLEM PARAMETERS */
void initProblemParameters( void ) {
fprintf(stdout,"COMPUTATION OF DETERMINANTS Type 2 (ADOL-C Example)\n\n");
if (indepDim > 0)
matrixDim = indepDim;
else {
fprintf(stdout," order of matrix = ? ");
fscanf(stdin,"%d",&matrixDim);
fprintf(stdout,"\n");
}
indepDim = matrixDim * matrixDim;
}
/****************************************************************************/
/* INITIALIZE INDEPs */
void initIndependents( double* indeps ) {
int i, j;
double* iP = indeps;
mRec = 1;
for (i=0; i<matrixDim; i++) {
mRec *= 2;
for (j=0; j<matrixDim; j++)
*iP++ = j/(1.0+i);
indeps[i*matrixDim+i] += 1.0;
}
}
/****************************************************************************/
/* ORIGINAL SCALAR FUNCTION */
/*--------------------------------------------------------------------------*/
/* The recursive determinant function */
double det( int k, int m, double* indeps ) {
int i;
if (m == 0)
return 1.0;
else {
double* pt = indeps+((k-1)*matrixDim);
double t = 0;
int p = 1;
int p1, s;
if (k%2)
s = 1;
else
s = -1;
for (i=0; i<matrixDim; i++) {
p1 = 2*p;
if (m%p1 >= p) {
if (m == p) {
if (s > 0)
t += *pt;
else
t -= *pt;
} else {
if (s > 0)
t += (*pt)*det(k-1, m-p, indeps);
else
t -= (*pt)*det(k-1, m-p, indeps);
}
s = -s;
}
++pt;
p = p1;
}
return t;
}
}
/*--------------------------------------------------------------------------*/
/* The interface function */
double originalScalarFunction( double* indeps ) {
return det(matrixDim, mRec-1, indeps);
}
/****************************************************************************/
/* TAPING SCALAR FUNCTION */
/*--------------------------------------------------------------------------*/
/* The recursive determinant function */
adouble activeDet( int k, int m, adouble* indeps ) {
int i;
if (m == 0)
return 1.0;
else {
adouble* pt = indeps + ((k-1)*matrixDim);
adouble t = 0;
int p = 1;
int p1, s;
if (k%2)
s = 1;
else
s = -1;
for (i=0; i<matrixDim; i++) {
p1 = 2*p;
if (m%p1 >= p) {
if (m == p) {
if (s > 0)
t += *pt;
else
t -= *pt;
} else {
if (s > 0)
t += (*pt)*activeDet(k-1, m-p, indeps);
else
t -= (*pt)*activeDet(k-1, m-p, indeps);
}
s = -s;
}
++pt;
p = p1;
}
return t;
}
}
/*--------------------------------------------------------------------------*/
/* 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 = activeDet(matrixDim, mRec-1, activeIndeps);
double res = 0;
ares >>= res;
trace_off();
return res;
}
#undef _SFUNC_DETERMINANT_C_
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