/*  _______________________________________________________________________

    DAKOTA: Design Analysis Kit for Optimization and Terascale Applications
    Copyright 2014-2020
    National Technology & Engineering Solutions of Sandia, LLC (NTESS).
    This software is distributed under the GNU Lesser General Public License.
    For more information, see the README file in the top Dakota directory.
    _______________________________________________________________________ */

#include <cstdlib>
#include <iostream>
#include <fstream>
#include <vector>
#include <string>
#include <cmath>


int main(int argc, char** argv)
{

  std::ifstream fin(argv[1]);
  if (!fin) {
    std::cerr << "\nError: failure opening " << argv[1] << std::endl;
    exit(-1);
  }
  size_t i, j, num_vars, num_fns, num_deriv_vars;
  std::string vars_text, fns_text, dvv_text;

  // Get the parameter std::vector and ignore the labels
  fin >> num_vars >> vars_text;
  std::vector<double> x(num_vars);
  for (i=0; i<num_vars; i++) {
    fin >> x[i];
    fin.ignore(256, '\n');
  }

  // Get the ASV std::vector and ignore the labels
  fin >> num_fns >> fns_text;
  std::vector<int> ASV(num_fns);
  for (i=0; i<num_fns; i++) {
    fin >> ASV[i];
    fin.ignore(256, '\n');
  }

  // Get the DVV std::vector and ignore the labels
  fin >> num_deriv_vars >> dvv_text;
  std::vector<int> DVV(num_deriv_vars);
  for (i=0; i<num_deriv_vars; i++) {
    fin >> DVV[i];
    fin.ignore(256, '\n');
  }

  if (num_vars != 2 || num_fns != 4) {
    std::cerr << "Error: wrong number of inputs/outputs in barnes." << std::endl;
    exit(-1);
  }

  // Compute the results and output them directly to argv[2] (the NO_FILTER
  // option is used).  Response tags are optional; output them for ease
  // of results readability.
  std::ofstream fout(argv[2]);
  if (!fout) {
    std::cerr << "\nError: failure creating " << argv[2] << std::endl;
    exit(-1);
  }
  fout.precision(15); // 16 total digits
  fout.setf(std::ios::scientific);
  fout.setf(std::ios::right);

  // Verification test for SBO performance.
  // Taken from Rodriguez, Perez, Renaud, et al.
  // Constraints g >= 0.

  double a[] = { 75.196,   -3.8112,    0.12694,    -2.0567e-3,  1.0345e-5,
		 -6.8306,   0.030234, -1.28134e-3,  3.5256e-5, -2.266e-7,
		  0.25645, -3.4604e-3, 1.3514e-5, -28.106,     -5.2375e-6,
		 -6.3e-8,   7.0e-10,   3.4054e-4,  -1.6638e-6, -2.8673,
		  0.0005};
  double x1 = x[0], x2 = x[1], x1x2 = x1*x2, x2_sq = x2*x2, x1_sq = x1*x1;

  // **** f
  if (ASV[0] & 1) {
    double f = a[0] + a[1]*x1 + a[2]*x1_sq + a[3]*x1_sq*x1 + a[4]*x1_sq*x1_sq
      + a[5]*x2 + a[6]*x1x2 + a[7]*x1*x1x2 + a[8]*x1x2*x1_sq
      + a[9]*x2*x1_sq*x1_sq + a[10]*x2_sq + a[11]*x2*x2_sq + a[12]*x2_sq*x2_sq
      + a[13]/(x2+1.) + a[14]*x2_sq*x1_sq + a[15]*x1*x1_sq*x2_sq
      + a[16]*x1x2*x2_sq*x1_sq + a[17]*x1*x2_sq + a[18]*x1x2*x2_sq
      + a[19]*exp(a[20]*x1x2);
    fout << "                     " << f << " f\n";
  }

  // **** g1
  if (ASV[1] & 1)
    fout << "                     " << x1x2/700. - 1. << " g1\n";

  // **** g2
  if (ASV[2] & 1)
    fout << "                     " << x2/5. - x1_sq/625. << " g2\n";

  // **** g3
  if (ASV[3] & 1)
    fout << "                     " << pow(x2/50. - 1., 2.) - x1/500. + 0.11
	 << " g3\n";

  // **** df/dx
  if (ASV[0] & 2) {
    fout << "[ ";
    for (i=0; i<num_deriv_vars; i++) {
      int var_index = DVV[i] - 1;
      switch (var_index) {
      case 0:
	fout << a[1] + 2.*a[2]*x1 + 3.*a[3]*x1_sq + 4.*a[4]*x1_sq*x1
	  + a[6]*x2 + 2.*a[7]*x1x2 + 3.*a[8]*x2*x1_sq + 4.*a[9]*x1x2*x1_sq
	  + 2.*a[14]*x2_sq*x1 + 3.*a[15]*x1_sq*x2_sq + 3.*a[16]*x2*x2_sq*x1_sq
	  + a[17]*x2_sq + a[18]*x2*x2_sq + a[19]*a[20]*x2*exp(a[20]*x1x2) <<' ';
	break;
      case 1:
	fout << a[5] + a[6]*x1 + a[7]*x1_sq + a[8]*x1*x1_sq
	  + a[9]*x1_sq*x1_sq + 2.*a[10]*x2 + 3.*a[11]*x2_sq + 4.*a[12]*x2*x2_sq
	  - a[13]/pow(x2+1., 2.) + 2.*a[14]*x2*x1_sq + 2.*a[15]*x1*x1_sq*x2
	  + 3.*a[16]*x1*x2_sq*x1_sq + 2.*a[17]*x1x2 + 3.*a[18]*x1*x2_sq
	  + a[19]*a[20]*x1*exp(a[20]*x1x2) << ' ';
	break;
      }
    }
    fout << "]\n";
  }

  // **** dg1/dx
  if (ASV[1] & 2) {
    fout << "[ ";
    for (i=0; i<num_deriv_vars; i++) {
      int var_index = DVV[i] - 1;
      switch (var_index) {
      case 0:
	fout << x2/700. << ' ';
	break;
      case 1:
	fout << x1/700. << ' ';
	break;
      }
    }
    fout << "]\n";
  }

  // **** dg2/dx
  if (ASV[2] & 2) {
    fout << "[ ";
    for (i=0; i<num_deriv_vars; i++) {
      int var_index = DVV[i] - 1;
      switch (var_index) {
      case 0:
	fout << -2.*x1/625. << ' ';
	break;
      case 1:
	fout << 0.2 << ' ';
	break;
      }
    }
    fout << "]\n";
  }

  // **** dg3/dx
  if (ASV[3] & 2) {
    fout << "[ ";
    for (i=0; i<num_deriv_vars; i++) {
      int var_index = DVV[i] - 1;
      switch (var_index) {
      case 0:
	fout << -1./500. << ' ';
	break;
      case 1:
	fout << 2.*(x2/50. - 1.)/50. << ' ';
	break;
      }
    }
    fout << "]\n";
  }

  fout.flush();
  fout.close();
  return 0;
}
