NAG Library Manual, Mark 27.2
Interfaces:  FL   CL   CPP   AD 

NAG AD Library Introduction
Example description
/* D01UA_P0W_F C++ Header Example Program.
 *
 * Copyright 2021 Numerical Algorithms Group.
 * Mark 27.2, 2021.
 */

#include <iostream>
#include <math.h>
#include <nag.h>
#include <nagad.h>
#include <stdio.h>
using namespace std;

extern "C"
{
  static void NAG_CALL f(void *&        ad_handle,
                         const double   x[],
                         const Integer &nx,
                         double         fv[],
                         Integer &      iflag,
                         Integer        iuser[],
                         double         ruser[]);
}

int main(void)
{
  // Scalars
  int     exit_status = 0;
  Integer n           = 64;
  // Arrays
  double  ruser[1];
  Integer iuser[1];

  ruser[0] = 1.0;

  cout << "D01UA_P0W_F C++ Header Example Program Results\n\n";

  Integer ifail     = 0;
  void *  ad_handle = 0;

  double  a, b;
  Integer key;
  for (int funid = 1; funid <= 6; funid++)
    {
      if (funid == 1)
        {
          a   = 0.0;
          b   = 1.0;
          key = 0;
        }
      if (funid == 2)
        {
          a   = 2.0;
          b   = 0.0;
          key = -5;
        }
      if (funid == 3)
        {
          a   = 2.0;
          b   = 1.0;
          key = -3;
        }
      if (funid == 4)
        {
          a   = 2.0;
          b   = 1.0;
          key = 3;
        }
      if (funid == 5)
        {
          a   = -1.0;
          b   = 3.0;
          key = -4;
        }
      if (funid == 6)
        {
          a   = -1.0;
          b   = 3.0;
          key = 4;
        }

      iuser[0] = funid;

      // Call the passive routine
      ifail = 0;
      double dinest;
      nag::ad::d01ua(ad_handle, key, a, b, n, f, dinest, -1, iuser, -1, ruser,
                     ifail);

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

  cout << endl;

  return exit_status;
}

static void NAG_CALL f(void *&        ad_handle,
                       const double   x[],
                       const Integer &nx,
                       double         fv[],
                       Integer &      iflag,
                       Integer        iuser[],
                       double         ruser[])
{
  Integer i;
  double  xx, fx, rux;
  for (i = 0; i < nx && iflag >= 0; i++)
    {
      xx  = x[i];
      rux = ruser[0] * xx;
      if (iuser[0] == 1)
        {
          fx = 4.0 / (1.0 + ruser[0] * xx * xx);
        }
      if (iuser[0] == 2)
        {
          fx = 1.0 / (xx * xx * log(ruser[0] * xx));
        }
      if (iuser[0] == 3)
        {
          fx = exp(-ruser[0] * xx) / xx;
        }
      if (iuser[0] == 4)
        {
          fx = ruser[0] / xx;
        }
      if (iuser[0] == 5)
        {
          fx = exp(-3.0 * ruser[0] * xx * xx - 4.0 * xx - 1.0);
        }
      if (iuser[0] == 6)
        {
          fx = exp(2.0 * ruser[0] * xx + 2.0);
        }
      if (iuser[0] < 0 || iuser[0] > 6)
        {
          iflag = -1;
        }
      fv[i] = fx;
    }

  return;
}