/* F03BN_P0W_F C++ Header Example Program.
 *
 * Copyright 2023 Numerical Algorithms Group.
 * Mark 29.0, 2023.
 */

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

int main()
{
  int               exit_status = 0;
  nag::ad::handle_t ad_handle;
  Integer           ifail = 0;

  cout << "F03BN_P0W_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.
  Complex *a    = 0;
  Integer *ipiv = 0;
  a             = new Complex[n * n];
  ipiv          = new Integer[n];

  // Read the matrix A
  double dr, di;
  for (int i = 0; i < n; ++i)
  {
    for (int j = 0; j < n; ++j)
    {
      cin >> dr >> di;
      Integer k = i + j * n;
      a[k].re   = dr;
      a[k].im   = di;
    }
  }

  // Print matrix A
  cout << endl;
  NagError fail;
  INIT_FAIL(fail);
  x04dac(Nag_ColMajor, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, a, n, "  A", 0,
         &fail);

  // Factorize the matrix A
  ifail = 0;
  nag::ad::f07ar(ad_handle, n, n, a, n, ipiv, ifail);

  // Print Factorization of A
  cout << endl;
  // NagError  fail;
  INIT_FAIL(fail);
  x04dac(Nag_ColMajor, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, a, n,
         "  Array A after factorization", 0, &fail);

  Complex d;
  Integer id[2];
  ifail = 0;
  nag::ad::f03bn(ad_handle, n, a, n, ipiv, d, id, ifail);

  dr = d.re;
  di = d.im;
  cout << "d = (" << dr << "," << di << ") id = ";
  cout << id[0] << ", " << id[1] << endl;
  dr = dr * pow(2.0, id[0]);
  di = di * pow(2.0, id[1]);
  cout << "\n value of determinant = (" << dr << "," << di << ")" << endl;

  delete[] a;
  delete[] ipiv;

  return exit_status;
}