/* D01BD_T1W_F C++ Header Example Program.
 *
 * Copyright 2019 Numerical Algorithms Group.
 * Mark 27, 2019.
 */

#include <nag.h>
#include <dco.hpp>
#include <nagad.h>
#include <stdio.h>
#include <math.h>
#include <nagx01.h>
#include <iostream>
using namespace std;

extern "C"
{
  static void NAG_CALL f(void * &ad_handle,
                         const nagad_t1w_w_rtype &x,
                         nagad_t1w_w_rtype &ret,
                         Integer iuser[],
                         nagad_t1w_w_rtype ruser[]);
}

int main(void)
{
  // Scalars
  int               exit_status = 0;

  cout << "D01BD_T1W_F C++ Header Example Program Results\n\n";

  // Skip first line of data file
  string mystr;
  getline (cin, mystr);

  // Read problem parameters
  double            ar, br, epsabsr, epsrelr;
  cin >> ar;
  cin >> br;
  cin >> epsabsr;
  cin >> epsrelr;

  nagad_t1w_w_rtype a, b, epsabs, epsrel;
  a = ar; b = br; epsabs = epsabsr; epsrel = epsrelr;

  // Create AD configuration data object
  Integer ifail = 0;
  void    *ad_handle = 0;
  x10aa_t1w_f_(ad_handle,ifail);

  nagad_t1w_w_rtype result, abserr, ruser[1];
  Integer           iuser[1];

  ruser[0] = 10.0;
  iuser[0] = 0;

  // Call the AD routine

  // Increment variables to differentiate w.r.t.
  double inc = 1.0;
  nagad_t1w_inc_derivative(&ruser[0],inc);

  ifail = 0;
  d01bd_t1w_f_(ad_handle,f,a,b,epsabs,epsrel,result,abserr,
               iuser,ruser,ifail);

  // Print inputs and primal outputs.
  cout << "\n lower limit of integration (a) = " << ar << endl;
  cout << " upper limit of integration (b) = " << br << endl;
  cout << " absolute accuracy requested    = " << epsabsr << endl;
  cout << " relative accuracy requested    = " << epsrelr << endl;
  cout.setf(ios::scientific,ios::floatfield);
  cout.precision(4);
  if (ifail >= 0) {
    cout << "\n approximation to the integral  : " << nagad_t1w_get_value(result) << endl;
    cout << " estimate of the absolute error : " << nagad_t1w_get_value(abserr) << endl;
    cout << " number of function evaluations : " << iuser[0] << endl;
  }

  cout << "\n Derivatives calculated: First order tangents\n";
  cout << " Computational mode    : algorithmic\n";
  
  // Get derivatives
  double dr = nagad_t1w_get_derivative(result);

  cout << "\n Derivative of solution w.r.t to ruser[0]:\n";
  cout << " d/dr(x) = " << dr << endl;

  // Remove computational data object
  x10ab_t1w_f_(ad_handle,ifail);

  return exit_status;
}

static void NAG_CALL f(void * &ad_handle,
                       const nagad_t1w_w_rtype &x,
                       nagad_t1w_w_rtype &ret,
                       Integer iuser[],
                       nagad_t1w_w_rtype ruser[])
{
  // dco/c++ used here to perform AD of the following
  double pi = X01AAC;
  nagad_t1w_w_rtype prx, x2, s;
  x2 = x*x;
  prx = pi*ruser[0];
  prx = prx*x;
  s = sin(prx);
  ret = x2*s;
  iuser[0]++;

  return;
}