/* nag_correg_corrmat_fixed (g02asc) Example Program.
 *
 * Copyright 2019 Numerical Algorithms Group.
 *
 * Mark 27.0, 2019.
 */

#include <stdio.h>
#include <nag.h>

int main(void)
{

#define G(I,J) g[(J-1)*pdg + I-1]
#define H(I,J) h[(J-1)*pdh + I-1]

  /* Scalars */
  Integer exit_status = 0;
  Integer one = 1;
  double alpha, errtol, norm;
  Integer i, j, iter, maxit, m, n, pdg, pdh, pdx;

  /* Arrays */
  double *eig = 0, *g = 0, *x = 0;
  Integer *h = 0;

  /* Nag Types */
  Nag_OrderType order;
  NagError fail;

  INIT_FAIL(fail);

  /* Output preamble */
  printf("nag_correg_corrmat_fixed (g02asc)");
  printf(" Example Program Results\n\n");
  fflush(stdout);

  /* Skip heading in data file */
  scanf("%*[^\n] ");

  /* Read in the problem size, alpha and m */
  scanf("%" NAG_IFMT "%lf%" NAG_IFMT "%*[^\n] ", &n, &alpha, &m);

  pdg = n;
  pdh = n;
  pdx = n;
  if (!(g = NAG_ALLOC(pdg * n, double)) ||
      !(h = NAG_ALLOC(pdh * n, Integer)) ||
      !(x = NAG_ALLOC(pdx * n, double)) || !(eig = NAG_ALLOC(n, double))
         )
  {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }

  /* Read in the matrix g */
  for (i = 1; i <= n; i++)
    for (j = 1; j <= n; j++)
      scanf("%lf", &G(i, j));
  scanf("%*[^\n] ");

  /* Read in the matrix h, only the strictly lower triangle need be set */
  for (i = 2; i <= n; i++)
    for (j = 1; j <i; j++)
      scanf("%" NAG_IFMT "", &H(i, j));
  scanf("%*[^\n] ");

  /* Use the defaults for errtol, maxit and m */
  errtol = 0.0;
  maxit = 0;

  /* 
   * nag_correg_corrmat_fixed (g02asc).
   * Calculate nearest correlation matrix with some fixed elements
   */
  nag_correg_corrmat_fixed(g, pdg, n, alpha, h, pdh, errtol, maxit,
                                m, x, pdx, &iter, &norm, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_correg_corrmat_fixed (g02asc).\n%s\n",
           fail.message);
    exit_status = 1;
    goto END;
  }

  /* Display results */

  order = Nag_ColMajor;
  /* 
   * nag_file_print_matrix_real_gen (x04cac).
   * Prints real general matrix 
   */
  nag_file_print_matrix_real_gen(order, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, g,
                         pdg, "Symmetrised Input Matrix, G", NULL, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_file_print_matrix_real_gen (x04cac).\n%s\n", fail.message);
    exit_status = 2;
    goto END;
  }

  /* Print H */
  printf("\n Lower Triangle of H\n");
  for (i = 1; i <= n; i++) {
    for (j = 1; j <= i-1; j++)
      printf("%6" NAG_IFMT "", H(i, j));
    printf("%6d\n", 1);
  }
  
  printf("\n");
  fflush(stdout);
  nag_file_print_matrix_real_gen(order, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, x,
                         pdx, "Nearest Correlation Matrix, X", NULL, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_file_print_matrix_real_gen (x04cac).\n%s\n", fail.message);
    exit_status = 3;
    goto END;
  }

  printf("\n%s %10" NAG_IFMT " \n\n", " Number of iterations:", iter);
  printf(" Norm value:%26.4f \n\n", norm);
  printf("%s %29.4f \n", " alpha: ", alpha);

  /* 
   * nag_lapackeig_dsyev (f08fac).
   * Computes all eigenvalues and, optionally, eigenvectors of a real
   * symmetric matrix
   */
  nag_lapackeig_dsyev(order, Nag_EigVals, Nag_Upper, n, x, pdx, eig, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_lapackeig_dsyev (f08fac).\n%s\n", fail.message);
    exit_status = 4;
    goto END;
  }

  printf("\n");
  fflush(stdout);
  /* 
   * nag_file_print_matrix_real_gen (x04cac).
   * Print real general matrix (easy-to-use)
   */
  nag_file_print_matrix_real_gen(order, Nag_GeneralMatrix, Nag_NonUnitDiag, one, n,
                         eig, one, "Eigenvalues of X", NULL, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_file_print_matrix_real_gen (x04cac).\n%s\n", fail.message);
    exit_status = 5;
    goto END;
  }

END:
  NAG_FREE(eig);
  NAG_FREE(g);
  NAG_FREE(h);
  NAG_FREE(x);
  return exit_status;
}