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/*----------------------------------------------------------------------------
ADOL-C -- Automatic Differentiation by Overloading in C++
File: inversexam.cpp
Revision: $Id$
Contents: Test driver 'inverse_tensor_eval(..)' allows to
compute higher order derivatives of inverse
functions
Copyright (c) Andrea Walther, Andreas Griewank
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.
---------------------------------------------------------------------------*/
/****************************************************************************/
/* INCLUDES */
#include <adolc/adolc.h>
#include <cstdlib>
#include <iostream>
using namespace std;
/****************************************************************************/
/* MAIN */
int main() {
int i,j,n,d,p,dim;
/*--------------------------------------------------------------------------*/
cout << "INVERSEXAM (ADOL-C Example)\n\n"; /* inputs */
cout << " Number of independents = ?\n ";
cin >> n;
// number of dependents = number of independents !!
cout << " Degree = ?\n ";
cin >> d;
cout << " Number of directions = ?\n ";
cin >> p;
/*--------------------------------------------------------------------------*/
int* multi = new int[d]; /* allocations and inits */
double* xp = new double[n];
double* yp = new double[n];
double** S = new double*[n];
double* test = new double[n];
double** tensoren;
adouble* x = new adouble[n];
adouble* y = new adouble[n];
for (i=0; i<n; i++) {
xp[i] = (i+1.0)/(2.0+i);
S[i] = new double[p];
for (j=0; j<p; j++)
S[i][j]=(i==j)?1.0:0.0;
}
for (i=0; i<d; i++)
multi[i] = 0;
/*--------------------------------------------------------------------------*/
trace_on(1); /* tracing the function */
for (i=0; i<n; i++) {
x[i] <<= xp[i];
y[i] = (i+1)*x[i];
}
y[0] += sqrt(x[0]);
for (i=0; i<n; i++)
y[i] >>= yp[i] ;
trace_off();
/*--------------------------------------------------------------------------*/
d = d-1; /* 1. inverse_tensor_eval */
dim = binomi(p+d,d);
tensoren = myalloc2(n,dim);
cout <<"TASK 1:\n";
cout <<" d = "<<d<<", dim = "<<dim<<"\n";
inverse_tensor_eval(1,n,d,p,xp,tensoren,S);
for (i=0; i<p; i++) {
multi[0] = i+1;
tensor_value(d,n,test,tensoren,multi);
cout << i+1 << ": ";
for (j=0; j<n; j++)
cout << " " << test[j] << " ";
cout << "\n";
}
myfree2(tensoren);
/*--------------------------------------------------------------------------*/
d = d+1; /* 2. inverse_tensor_eval */
dim = binomi(p+d,d);
cout <<"TASK 2:\n";
cout <<" d = "<<d<<", dim = "<<dim<<"\n";
tensoren = myalloc2(n,dim);
inverse_tensor_eval(1,n,d,p,xp,tensoren,S);
for (i=0; i<p; i++) {
multi[0] = i+1;
tensor_value(d,n,test,tensoren,multi);
cout << i+1 << ": ";
for (j=0; j<n; j++)
cout << " " << test[j] << " ";
cout << "\n";
}
/*--------------------------------------------------------------------------*/
xp[0] = 2*xp[0]; /* 3. inverse_tensor_eval */
cout <<"TASK 3:\n";
cout <<" NEW independend values !!!\n";
cout <<" d = "<<d<<", dim = "<<dim<<"\n";
inverse_tensor_eval(1,n,d,p,xp,tensoren,S);
for (i=0; i<p; i++) {
multi[0] = i+1;
tensor_value(d,n,test,tensoren,multi);
cout << i+1 << ": ";
for (j=0; j<n; j++)
cout << " " << test[j] << " ";
cout << "\n";
}
myfree2(tensoren);
/*--------------------------------------------------------------------------*/
d = d-1; /* 4. inverse_tensor_eval */
dim = binomi(p+d,d);
cout <<"TASK 4:\n";
cout <<" d = "<<d<<", dim = "<<dim<<"\n";
tensoren = myalloc2(n,dim);
inverse_tensor_eval(1,n,d,p,xp,tensoren,S);
for (i=0; i<p; i++) {
multi[0] = i+1;
tensor_value(d,n,test,tensoren,multi);
cout << i+1 << ": ";
for (j=0; j<n; j++)
cout << " " << test[j] << " ";
cout << "\n";
}
myfree2(tensoren);
/*--------------------------------------------------------------------------*/
d = d+1; /* 5. inverse_tensor_eval */
dim = binomi(p+d,d);
xp[0] = 0.5*xp[0];
cout <<"TASK 5:\n";
cout <<" OLD independend values !!!\n";
cout <<" d = "<<d<<", dim = "<<dim<<"\n";
tensoren = myalloc2(n,dim);
inverse_tensor_eval(1,n,d,p,xp,tensoren,S);
for (i=0; i<p; i++) {
multi[0] = i+1;
tensor_value(d,n,test,tensoren,multi);
cout << i+1 << ": ";
for (j=0; j<n; j++)
cout << " " << test[j] << " ";
cout << "\n";
}
myfree2(tensoren);
return 1;
}
/****************************************************************************/
/* THAT'S ALL */
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