/* nag_lapacklin_dpoequ (f07ffc) Example Program.
 *
 * Copyright 2023 Numerical Algorithms Group.
 *
 * Mark 29.3, 2023.
 */

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

int main(void) {
  /* Scalars */
  double amax, big, scond, small;
  Integer i, j, n, pda;
  Integer exit_status = 0;
  /* Arrays */
  double *a = 0, *s = 0;

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

#ifdef NAG_COLUMN_MAJOR
#define A(I, J) a[(J - 1) * pda + I - 1]
  order = Nag_ColMajor;
#else
#define A(I, J) a[(I - 1) * pda + J - 1]
  order = Nag_RowMajor;
#endif

  INIT_FAIL(fail);

  printf("nag_lapacklin_dpoequ (f07ffc) Example Program Results\n\n");

  /* Skip heading in data file */
  scanf("%*[^\n]");
  scanf("%" NAG_IFMT "%*[^\n]", &n);
  if (n < 0) {
    printf("Invalid n\n");
    exit_status = 1;
    goto END;
  }

  pda = n;
  /* Allocate memory */
  if (!(a = NAG_ALLOC(n * n, double)) || !(s = NAG_ALLOC(n, double))) {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }

  /* Read the upper triangular part of the matrix A from data file */
  for (i = 1; i <= n; ++i)
    for (j = i; j <= n; ++j)
      scanf("%lf", &A(i, j));
  scanf("%*[^\n]");

  /* Print the matrix A using nag_file_print_matrix_real_gen (x04cac). */
  fflush(stdout);
  nag_file_print_matrix_real_gen(order, Nag_UpperMatrix, Nag_NonUnitDiag, n, n,
                                 a, pda, "Matrix A", 0, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_file_print_matrix_real_gen (x04cac).\n%s\n",
           fail.message);
    exit_status = 1;
    goto END;
  }

  printf("\n");
  /* Compute diagonal scaling factors using nag_lapacklin_dpoequ (f07ffc). */
  nag_lapacklin_dpoequ(order, n, a, pda, s, &scond, &amax, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_lapacklin_dpoequ (f07ffc).\n%s\n", fail.message);
    exit_status = 1;
    goto END;
  }

  /* Print scond, amax and the scale factors */
  printf("scond = %10.1e, amax = %10.1e\n\n", scond, amax);
  printf("Diagonal scaling factors\n");
  for (i = 0; i < n; ++i)
    printf("%11.1e%s", s[i], i % 7 == 6 ? "\n" : " ");
  printf("\n\n");

  /* Compute values close to underflow and overflow using
   * nag_machine_real_safe (x02amc), nag_machine_precision (x02ajc) and
   * nag_machine_model_base (x02bhc)
   */
  small =
      nag_machine_real_safe / (nag_machine_precision * nag_machine_model_base);
  big = 1.0 / small;
  if (scond < 0.1 || amax < small || amax > big) {
    /* Scale A */
    for (j = 1; j <= n; ++j)
      for (i = 1; i <= j; ++i)
        A(i, j) *= s[i - 1] * s[j - 1];

    /* Print the scaled matrix using nag_file_print_matrix_real_gen (x04cac). */
    fflush(stdout);
    nag_file_print_matrix_real_gen(order, Nag_UpperMatrix, Nag_NonUnitDiag, n,
                                   n, a, pda, "Scaled matrix", 0, &fail);
    if (fail.code != NE_NOERROR) {
      printf("Error from nag_file_print_matrix_real_gen (x04cac).\n%s\n",
             fail.message);
      exit_status = 1;
      goto END;
    }
  }

END:
  NAG_FREE(a);
  NAG_FREE(s);

  return exit_status;
}

#undef A