NAG Library Manual, Mark 28.7
Interfaces:  FL   CL   CPP   AD 

NAG AD Library Introduction
Example description
/* F11DB_P0W_F C++ Header Example Program.
 *
 * Copyright 2022 Numerical Algorithms Group.
 * Mark 28.7, 2022.
 */
#include <dco.hpp>
#include <iostream>
#include <nag.h>
#include <nagad.h>
#include <nagx04.h>
#include <stdio.h>
using namespace std;

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

  cout << "F11DB_P0W_F C++ Header Example Program Results\n\n";
  // Skip heading in data file
  string mystr;
  getline(cin, mystr);

  // Read order of matrix and number of nonzero entries
  Integer n, nnz;
  cin >> n;
  cin >> nnz;

  Integer  la     = 2 * nnz;
  Integer  liwork = 7 * n + 2;
  double * a = 0, *x = 0, *y = 0;
  Integer *icol = 0, *idiag = 0, *ipivp = 0, *ipivq = 0, *irow = 0;
  Integer *istr = 0, *iwork = 0;

  a     = new double[la];
  x     = new double[n];
  y     = new double[n];
  icol  = new Integer[la];
  idiag = new Integer[n];
  ipivp = new Integer[n];
  ipivq = new Integer[n];
  irow  = new Integer[la];
  istr  = new Integer[n + 1];
  iwork = new Integer[liwork];

  // Read the matrix A
  for (int i = 0; i < nnz; i++)
  {
    cin >> a[i] >> irow[i] >> icol[i];
  }

  // Read the vector y
  for (int i = 0; i < n; i++)
  {
    cin >> y[i];
  }

  ifail = 0;
  // Calculate LU factorization
  Integer lfill = -1;
  double  dtol;
  Integer nnzc, npivm;
  dtol  = 0.0;
  ifail = 0;
  nag::ad::f11da(ad_handle, n, nnz, a, la, irow, icol, lfill, dtol, "C", "N",
                 ipivp, ipivq, istr, idiag, nnzc, npivm, iwork, liwork, ifail);

  // Check value of npivm
  if (npivm > 0)
  {
    cout << " Factorization is not complete" << endl;
  }
  else
  {

    //       Solve P L D U x = y
    ifail = 0;
    nag::ad::f11db(ad_handle, "N", n, a, la, irow, icol, ipivp, ipivq, istr,
                   idiag, "C", y, x, ifail);

    // Output results
    cout.setf(ios::scientific, ios::floatfield);
    cout.precision(4);
    cout << "  Solution vector" << endl;
    for (int i = 0; i < n; ++i)
    {
      cout.width(12);
      cout << x[i] << "     ";
    }
    cout << endl;
  }

  delete[] a;
  delete[] x;
  delete[] y;
  delete[] icol;
  delete[] idiag;
  delete[] ipivp;
  delete[] ipivq;
  delete[] irow;
  delete[] istr;
  delete[] iwork;

  return exit_status;
}