/* G01HA_T1W_F C++ Header Example Program.
 *
 * Copyright 2024 Numerical Algorithms Group.
 * Mark 30.1, 2024.
 */

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

int main()
{
  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;
  nag::ad::handle_t ad_handle;

  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;
    dco::derivative(x) = inc;
    // Call NAG AD Routine
    ifail = 0;
    nag::ad::g01ha(ad_handle, x, y, rho, p, ifail);
    double dpdx;
    dpdx = dco::derivative(p);

    x                  = xr;
    y                  = yr;
    rho                = rhor;
    dco::derivative(y) = inc;
    // Call NAG AD Routine
    ifail = 0;
    nag::ad::g01ha(ad_handle, x, y, rho, p, ifail);
    double dpdy;
    dpdy = dco::derivative(p);

    x                    = xr;
    y                    = yr;
    rho                  = rhor;
    dco::derivative(rho) = inc;
    // Call NAG AD Routine
    ifail = 0;
    nag::ad::g01ha(ad_handle, x, y, rho, p, ifail);
    double dpdr;
    dpdr = dco::derivative(p);

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

  return exit_status;
}