/* C05QC_A1W_F C++ Header Example Program.
 *
 * Copyright 2021 Numerical Algorithms Group.
 * Mark 27.2, 2021.
 */

#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;

extern "C"
{
  static void NAG_CALL fcn(void *&                 ad_handle,
                           const Integer &         n,
                           const nagad_a1w_w_rtype x[],
                           nagad_a1w_w_rtype       fvec[],
                           Integer                 iuser[],
                           nagad_a1w_w_rtype       ruser[],
                           Integer &               iflag);
}

int main(void)
{
  // Scalars
  int           exit_status = 0;
  const Integer maxfev = 2000, ml = 1, mode = 2, mu = 1, n = 7, nprint = 0;

  cout << "C05QC_A1W_F C++ Header Example Program Results\n\n";

  // problem parameters and starting value
  nagad_a1w_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;

  for (int i = 0; i < n; ++i)
    {
      x[i] = -1.0;
    }

  // Create AD tape
  dco::ga1s<double>::global_tape = dco::ga1s<double>::tape_t::create();

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

  // Register variables to differentiate w.r.t.
  for (int i = 0; i < 5; ++i)
    {
      dco::ga1s<double>::global_tape->register_variable(ruser[i]);
    }

  // Call AD routine
  nagad_a1w_w_rtype diag[n], fjac[n * n], epsfcn, factor, fvec[n], qtf[n],
      r[n * (n + 1) / 2], xtol;
  Integer iuser[1], nfev;

  xtol   = sqrt(X02AJC);
  epsfcn = 0.;
  factor = 100.;
  for (int i = 0; i < n; ++i)
    {
      diag[i] = 1.;
    }

  ifail = 0;
  nag::ad::c05qc(ad_handle, fcn, n, x, fvec, xtol, maxfev, ml, mu, epsfcn, mode,
                 diag, factor, nprint, nfev, fjac, r, qtf, -1, iuser, -1, ruser,
                 ifail);

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

  // Setup evaluation of derivatives via adjoints
  double dr[5 * n];
  for (int i = 0; i < n; ++i)
    {

      dco::ga1s<double>::global_tape->zero_adjoints();
      double inc            = 1.0;
      dco::derivative(x[i]) = inc;

      ifail                                              = 0;
      dco::ga1s<double>::global_tape->sparse_interpret() = true;
      dco::ga1s<double>::global_tape->interpret_adjoint();

      for (int j = 0; j < 5; ++j)
        {
          int k = j * n + i;
          dr[k] = dco::derivative(ruser[j]);
        }
    }

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

  // Remove computational data object and tape
  nag::ad::x10ab(ad_handle, ifail);
  dco::ga1s<double>::tape_t::remove(dco::ga1s<double>::global_tape);

  return exit_status;
}

static void NAG_CALL fcn(void *&                 ad_handle,
                         const Integer &         n,
                         const nagad_a1w_w_rtype x[],
                         nagad_a1w_w_rtype       fvec[],
                         Integer                 iuser[],
                         nagad_a1w_w_rtype       ruser[],
                         Integer &               iflag)
{
  if (iflag != 0)
    {
      for (int i = 0; i < n; ++i)
        {
          fvec[i] = (ruser[1] + ruser[2] * x[i]) * x[i] - ruser[4];
        }
      for (int i = 1; i < n; ++i)
        {
          fvec[i] = fvec[i] + ruser[0] * x[i - 1];
        }
      for (int i = 0; i < n - 1; ++i)
        {
          fvec[i] = fvec[i] + ruser[3] * x[i + 1];
        }
    }
  iflag = 0;
  return;
}