/* G01HA_T1W_F C++ Header Example Program.
 *
 * Copyright 2019 Numerical Algorithms Group.
 * Mark 27, 2019.
 */

#include <dco_light.hpp>
#include <nag.h>
#include <nagad.h>
#include <stdio.h>
#include <string>
#include <iostream>
using namespace std;

int main(void)
{
  int exit_status = 0;

  // Input and output variables
  nagad_t1w_w_rtype x, y, rho, p;

  cout << "G01HA_T1W_F C++ Header Example Program Results\n\n";
  // Skip heading in data file
  string mystr;
  getline (cin, mystr);

  // Read number of x values
  Integer n;
  cin >> n;

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

  cout << "Lower tail significance levels and derivatives\n\n";
  cout << "       x           y         rho          p";
  cout << "         dp/dx       dp/dy      dp/drho\n";
  cout.setf(ios::scientific,ios::floatfield);
  cout.setf(ios::right);
  cout.precision(4);
    
  // Loop over x values
  for (Integer i = 0; i < n; ++i) {
    // Read next x, y and rho
    double xr, yr, rhor;
    cin >> xr >> yr >> rhor;
    
    x = xr;
    y = yr;
    rho = rhor;
    double inc = 1.0;
    nagad_t1w_inc_derivative(&x,inc);
    // Call NAG AD Routine
    ifail = 0;
    g01ha_t1w_f_(ad_handle,x,y,rho,p,ifail);
    double dpdx;
    dpdx = nagad_t1w_get_derivative(p);

    x = xr;
    y = yr;
    rho = rhor;
    nagad_t1w_inc_derivative(&y,inc);
    // Call NAG AD Routine
    ifail = 0;
    g01ha_t1w_f_(ad_handle,x,y,rho,p,ifail);
    double dpdy;
    dpdy = nagad_t1w_get_derivative(p);

    x = xr;
    y = yr;
    rho = rhor;
    nagad_t1w_inc_derivative(&rho,inc);
    // Call NAG AD Routine
    ifail = 0;
    g01ha_t1w_f_(ad_handle,x,y,rho,p,ifail);
    double dpdr;
    dpdr = nagad_t1w_get_derivative(p);

    cout.width(12);  cout << nagad_t1w_get_value(x);
    cout.width(12);  cout << nagad_t1w_get_value(y);
    cout.width(12);  cout << nagad_t1w_get_value(rho);
    cout.width(12);  cout << nagad_t1w_get_value(p);
    cout.width(12);  cout << dpdx;
    cout.width(12);  cout << dpdy;
    cout.width(12);  cout << dpdr << endl;
  }

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

  return exit_status;
}