/* C05QS_T1W_F C++ Header Example Program.
 *
 * Copyright 2023 Numerical Algorithms Group.
 * Mark 29.0, 2023.
 */

#include <dco.hpp>
#include <iostream>
#include <math.h>
#include <nag.h>
#include <nagad.h>
#include <nagx02.h>
#include <nagx04.h>
#include <stdio.h>
#include <string>
using namespace std;

int main()
{
  // Scalars
  int           exit_status = 0;
  const Integer n = 7, lrcomm = 12 + 3 * n, licomm = 8 * n + 19 + 3 * n;

  cout << "C05QS_T1W_F C++ Header Example Program Results\n\n";

  // problem parameters and starting value
  nagad_t1w_w_rtype ruser[5], x[7];

  ruser[0] = -1.0;
  ruser[1] = 3.0;
  ruser[2] = -2.0;
  ruser[3] = -2.0;
  ruser[4] = -1.0;

  // Create AD configuration data object
  Integer           ifail = 0;
  nag::ad::handle_t ad_handle;

  // Call AD routine
  nagad_t1w_w_rtype fvec[n], rcomm[lrcomm], xtol;
  double            dr[5 * n];
  Integer           icomm[licomm];
  logical           init = Nag_TRUE;

  xtol = sqrt(X02AJC);

  auto fcn = [&](nag::ad::handle_t &     ad_handle,
                  const Integer &         n,
                  const Integer &         lindf,
                  const Integer           indf[],
                  const nagad_t1w_w_rtype *x,
                  nagad_t1w_w_rtype *fvec,
                  Integer &               iflag)
                {
                  for (int ind = 0; ind < lindf; ++ind)
                  {
                    int i   = indf[ind] - 1;
                    fvec[i] = (ruser[1] + ruser[2] * x[i]) * x[i] - ruser[4];
                    if (i > 0)
                      fvec[i] = fvec[i] + ruser[0] * x[i - 1];
                    if (i < n - 1)
                      fvec[i] = fvec[i] + ruser[3] * x[i + 1];
                  }
                  iflag = 0;
                };
                
  for (int i = 0; i < 5; ++i)
  {
    for (int j = 0; j < n; ++j)
    {
      x[j] = -1.0;
    }

    dco::derivative(ruser[i]) = 0.5;

    ifail = 0;
    nag::ad::c05qs(ad_handle, fcn, n, x, fvec, xtol, init, rcomm, lrcomm, icomm, licomm, ifail);

    for (int j = 0; j < n; ++j)
    {
      dr[i * n + j] = 2. * dco::derivative(x[j]);
    }

    dco::derivative(ruser[i]) = 0.;
  }

  cout.setf(ios::scientific, ios::floatfield);
  cout.precision(4);
  cout << "           Solution:\n";
  for (int i = 0; i < n; ++i)
  {
    cout.width(10);
    cout << i + 1;
    cout.width(20);
    cout << dco::value(x[i]) << endl;
  }

  cout << "\n Derivatives calculated: First order tangents\n";
  cout << " Computational mode    : algorithmic\n";
  cout << "\n Derivatives are of solution w.r.t function params\n\n";

  NagError fail;
  INIT_FAIL(fail);
  x04cac(Nag_ColMajor, Nag_GeneralMatrix, Nag_NonUnitDiag, n, 5, dr, n,
         "    dx/druser", 0, &fail);

  return exit_status;
}