NAG Library Manual, Mark 28.4
Interfaces:  FL   CL   CPP   AD 

NAG AD Library Introduction
Example description
/* D01GA_P0W_F C++ Header Example Program.
 *
 * Copyright 2022 Numerical Algorithms Group.
 * Mark 28.4, 2022.
 */

#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  a           = 1.0;

  cout << "D01GA_P0W_F C++ Header Example Program Results\n\n";

  // Allocate memory
  double *x = 0, *y = 0;

  x = new double[n];
  y = new double[n];

  // Initialize variables
  for (int i = 0; i < n; i++)
  {
    double xr = (1.0 * i) / (1.0 * (n - 1));
    double tmp;
    x[i] = xr;
    tmp  = a * x[i];
    y[i] = 4.0 / (1.0 + tmp * tmp);
  }

  // Call the passive routine
  Integer           ifail = 0;
  nag::ad::handle_t ad_handle;
  double            ans, er;
  nag::ad::d01ga(ad_handle, x, y, n, ans, er, ifail);

  cout.setf(ios::scientific, ios::floatfield);
  cout.setf(ios::right);
  cout.precision(4);
  cout << "\n Solution, ans = ";
  cout.width(12);
  cout << ans << endl;

  delete[] x;
  delete[] y;
  return exit_status;
}