/* E04UC_P0W_F C++ Header Example Program.
 *
 * Copyright 2023 Numerical Algorithms Group.
 * Mark 29.3, 2023.
 */

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

int main()
{
  // Scalars
  int exit_status = 0;

  cout << "E04UC_P0W_F C++ Header Example Program Results\n\n";

  Integer           ifail = 0;
  nag::ad::handle_t ad_handle;

  // Skip first line of data file
  string mystr;
  getline(cin, mystr);

  // Read problem sizes
  Integer n, nclin, ncnln;
  cin >> n;
  cin >> nclin;
  cin >> ncnln;

  Integer liwork = 3 * n + nclin + 2 * ncnln;
  Integer lda = nclin, sda = n, ldcj = ncnln, ldr = n;
  Integer lwork;

  lwork = 20 * n;
  if (nclin > 0 || ncnln > 0)
  {
    lwork = lwork + 2 * n * n;
    if (nclin > 0)
    {
      lwork = lwork + 11 * nclin;
      ;
    }
    if (ncnln > 0)
    {
      lwork = lwork + n * nclin + 2 * n * ncnln + 21 * ncnln;
    }
  }
  if (ncnln > 0)
  {
    lwork = lwork + n * nclin + (2 * n + 21) * ncnln;
  }
  Integer  lb = n + nclin + ncnln;
  double * a = 0, *bl = 0, *bu = 0, *c = 0, *cjac = 0;
  double * objgrd = 0, *clamda = 0, *r = 0, *x = 0, *work = 0, *rwsav = 0;
  Integer *istate = 0, *iwork = 0, *iwsav = 0;
  logical *lwsav = 0;
  a              = new double[lda * sda];
  bl             = new double[lb];
  bu             = new double[lb];
  c              = new double[ncnln];
  cjac           = new double[ncnln * n];
  clamda         = new double[lb];
  r              = new double[ldr * n];
  x              = new double[n];
  objgrd         = new double[n];
  work           = new double[lwork];
  rwsav          = new double[475];
  lwsav          = new logical[120];
  istate         = new Integer[lb];
  iwork          = new Integer[liwork];
  iwsav          = new Integer[610];

  // Read problem parameters and register for differentiation
  for (int i = 0; i < nclin; i++)
  {
    for (int j = 0; j < sda; j++)
    {
      Integer k = i + j * nclin;
      cin >> a[k];
    }
  }
  for (int i = 0; i < lb; i++)
  {
    cin >> bl[i];
  }
  for (int i = 0; i < lb; i++)
  {
    cin >> bu[i];
  }
  for (int i = 0; i < n; i++)
  {
    cin >> x[i];
  }
  double ruser[3];
  for (int i = 0; i < 3; i++)
  {
    ruser[i] = 1.0;
  }

  // Initialize sav arrays
  ifail = 0;
  char cwsav[1];
  nag::ad::e04wb("E04UCA", cwsav, 1, lwsav, 120, iwsav, 610, rwsav, 475, ifail);

  auto objfun = [&](nag::ad::handle_t &     ad_handle,
                  Integer &               mode,
                  const Integer &         n,
                  const double *x,
                  double &     objf,
                  double *objgrd,
                  const Integer &         nstate)
                {
                  if (mode == 0 || mode == 2)
                  {
                    objf = x[0] * x[3] * (ruser[0] * x[0] + ruser[1] * x[1] + ruser[2] * x[2]) +
                          x[2];
                  }
                  if (mode == 1 || mode == 2)
                  {
                    objgrd[0] =
                        x[3] * (2.0 * ruser[0] * x[0] + ruser[1] * x[1] + ruser[2] * x[2]);
                    objgrd[1] = x[0] * x[3] * ruser[1];
                    objgrd[2] = x[0] * x[3] * ruser[2] + 1.0;
                    objgrd[3] = x[0] * (ruser[0] * x[0] + ruser[1] * x[1] + ruser[2] * x[2]);
                  }
                };

auto confun = [&](nag::ad::handle_t &     ad_handle,
                  Integer &               mode,
                  const Integer &         ncnln,
                  const Integer &         n,
                  const Integer &         ldcj,
                  const Integer           needc[],
                  const double *x,
                  double *c,
                  double *cjac,
                  const Integer &         nstate)
                {
                  if (nstate == 1)
                  {
                    for (int i = 0; i < ncnln * n; ++i)
                    {
                      cjac[i] = 0.0;
                    }
                  }
                  if (needc[0] > 0)
                  {
                    if (mode == 0 || mode == 2)
                    {
                      c[0] = x[0] * x[0] + x[1] * x[1] + x[2] * x[2] + x[3] * x[3];
                    }
                    if (mode == 1 || mode == 2)
                    {
                      cjac[0]         = x[0] + x[0];
                      cjac[ncnln]     = x[1] + x[1];
                      cjac[2 * ncnln] = x[2] + x[2];
                      cjac[3 * ncnln] = x[3] + x[3];
                    }
                  }
                  if (needc[1] > 0)
                  {
                    if (mode == 0 || mode == 2)
                    {
                      c[1] = x[0] * x[1] * x[2] * x[3];
                    }
                    if (mode == 1 || mode == 2)
                    {
                      cjac[1]             = x[1] * x[2] * x[3];
                      cjac[ncnln + 1]     = x[0] * x[2] * x[3];
                      cjac[2 * ncnln + 1] = x[0] * x[1] * x[3];
                      cjac[3 * ncnln + 1] = x[0] * x[1] * x[2];
                    }
                  }
                };
                
  // Solve the problem
  Integer iter;
  double  objf;
  ifail = -1;
  nag::ad::e04uc(ad_handle, n, nclin, ncnln, lda, ldcj, ldr, a, bl, bu, confun,
                 objfun, iter, istate, c, cjac, clamda, objf, objgrd, r, x,
                 iwork, liwork, work, lwork, lwsav, iwsav, rwsav, ifail);

  // Primal results
  cout.setf(ios::scientific, ios::floatfield);
  if (ifail == 0 || ifail > 1)
  {
    cout.precision(4);
    cout << "\n Optimal objective function value = ";
    cout.width(12);
    cout << objf;
    cout << "\n Solution point = ";
    for (int i = 0; i < n; i++)
    {
      cout.width(12);
      cout << x[i];
    }
    cout << endl;
  }
  else
  {
    cout << "nag::ad::e04uc failed with ifail = " << ifail << endl;
  }

  delete[] a;
  delete[] bl;
  delete[] bu;
  delete[] c;
  delete[] cjac;
  delete[] clamda;
  delete[] r;
  delete[] x;
  delete[] objgrd;
  delete[] work;
  delete[] rwsav;
  delete[] lwsav;
  delete[] istate;
  delete[] iwork;
  delete[] iwsav;
  return exit_status;
}