/* F03BA_T1W_F C++ Header Example Program.
 *
 * Copyright 2021 Numerical Algorithms Group.
 * Mark 27.2, 2021.
 */

#include <dco.hpp>
#include <iostream>
#include <nag.h>
#include <nagad.h>
#include <nagx04.h>
#include <stdio.h>
#include <string>
using namespace std;

int main(void)
{
  int     exit_status = 0;
  void *  ad_handle   = 0;
  Integer ifail       = 0;

  cout << "F03BA_T1W_F C++ Header Example Program Results\n\n";
  // Skip heading in data file
  string mystr;
  getline(cin, mystr);

  // Read problem size and number of right-hand-sides
  Integer n;
  cin >> n;

  // Allocate arrays containing A and its factorized form, B
  // and the solution X.
  nagad_t1w_w_rtype *a = 0, *a_in = 0;
  double *           ar   = 0;
  Integer *          ipiv = 0;
  a                       = new nagad_t1w_w_rtype[n * n];
  a_in                    = new nagad_t1w_w_rtype[n * n];
  ipiv                    = new Integer[n];
  ar                      = new double[n * n];

  // Read the matrix A, register and copy
  double dd;
  for (int i = 0; i < n; ++i)
    {
      for (int j = 0; j < n; ++j)
        {
          cin >> dd;
          Integer k = i + j * n;
          a_in[k]   = dd;
          ar[k]     = dd;
        }
    }

  // Print matrix A
  cout << endl;
  NagError fail;
  INIT_FAIL(fail);
  x04cac(Nag_ColMajor, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, ar, n, "  A",
         0, &fail);

  // Create AD configuration data object
  ifail = 0;
  nag::ad::x10aa(ad_handle, ifail);

  for (int i = 0; i < n; i++)
    {
      for (int j = 0; j < n; j++)
        {
          Integer k = i + j * n;

          double inc               = 1.0;
          dco::derivative(a_in[k]) = inc;

          for (int p = 0; p < n; p++)
            {
              for (int q = 0; q < n; q++)
                {
                  Integer l = p + q * n;
                  a[l]      = a_in[l];
                }
            }

          // Factorize the matrix A
          ifail = 0;
          nag::ad::f07ad(ad_handle, n, n, a, n, ipiv, ifail);

          if (i == 0 && j == 0)
            {
              // Print Factorization of A
              for (int p = 0; p < n; p++)
                {
                  for (int q = 0; q < n; q++)
                    {
                      int l = p + q * n;
                      ar[l] = dco::value(a[l]);
                    }
                }
              cout << endl;
              // NagError  fail;
              INIT_FAIL(fail);
              x04cac(Nag_ColMajor, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, ar,
                     n, "  Array A after factorization", 0, &fail);
            }

          nagad_t1w_w_rtype d;
          Integer           id;
          ifail = 0;
          nag::ad::f03ba(ad_handle, n, a, n, ipiv, d, id, ifail);

          if (i == 0 && j == 0)
            {
              cout << "\n d = " << dco::value(d) << " id = " << id << endl;
              cout << "\n value of determinant = ";
              cout << dco::value(d) * pow(2.0, id) << endl;
            }

          double zero              = 0.0;
          dco::derivative(a_in[k]) = zero;

          ar[k] = dco::derivative(d);
        }
    }
  cout << "\n\n Derivatives calculated: First order tangents\n";
  cout << " Computational mode    : algorithmic\n";
  cout << "\n Derivatives of determinant w.r.t diagonal of A:\n";

  // Print derivatives
  cout << endl;
  INIT_FAIL(fail);
  x04cac(Nag_ColMajor, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, ar, n,
         "           d(d)/da(i,j)", 0, &fail);

  // Remove computational data object
  ifail = 0;
  nag::ad::x10ab(ad_handle, ifail);

  delete[] a;
  delete[] a_in;
  delete[] ipiv;
  delete[] ar;

  return exit_status;
}