/* D01GA_T1W_F C++ Header Example Program.
*
* Copyright 2024 Numerical Algorithms Group.
* Mark 30.2, 2024.
*/
#include <dco.hpp>
#include <iostream>
#include <math.h>
#include <nag.h>
#include <nagad.h>
#include <stdio.h>
using namespace std;
int main()
{
// Scalars
int exit_status = 0;
Integer n = 21;
double ar = 1.0;
cout << "D01GA_T1W_F C++ Header Example Program Results\n\n";
// Allocate memory
nagad_t1w_w_rtype *x = 0, *y = 0;
x = new nagad_t1w_w_rtype[n];
y = new nagad_t1w_w_rtype[n];
// Create AD configuration data object
Integer ifail = 0;
nag::ad::handle_t ad_handle;
nagad_t1w_w_rtype a;
a = ar;
double inc = 1.0;
dco::derivative(a) = inc;
// Initialize variables
for (int i = 0; i < n; i++)
{
double xr = (1.0 * i) / (1.0 * (n - 1));
nagad_t1w_w_rtype tmp;
x[i] = xr;
tmp = a * x[i];
y[i] = 4.0 / (1.0 + tmp * tmp);
}
// Call the AD routine
ifail = 0;
nagad_t1w_w_rtype ans, er;
nag::ad::d01ga(ad_handle, x, y, n, ans, er, ifail);
double da;
da = dco::derivative(ans);
cout << "\n Derivatives calculated: First order tangents\n";
cout << " Computational mode : algorithmic\n";
cout.setf(ios::scientific, ios::floatfield);
cout.setf(ios::right);
cout.precision(4);
cout << "\n Solution, ans = ";
double ans_value = dco::value(ans);
cout.width(12);
cout << ans_value << endl;
cout << "\n Derivative:\n";
cout << " d(ans)/da = ";
cout.width(12);
cout << da << endl;
delete[] x;
delete[] y;
return exit_status;
}