/* nag_matop_complex_gen_matrix_cond_std (f01kac) Example Program.
 *
 * Copyright 2024 Numerical Algorithms Group.
 *
 * Mark 30.2, 2024.
 */
#include <math.h>
#include <nag.h>

#define A(I, J) a[J * pda + I]

int main(void) {

  /* Scalars */
  Integer exit_status = 0;
  Integer i, j, n, pda;
  double conda, cond_rel, eps, norma, normfa;
  /* Arrays */
  Complex *a = 0;
  char nag_enum_arg[100];
  /* Nag Types */
  Nag_OrderType order = Nag_ColMajor;
  Nag_MatFunType fun;
  NagError fail;

  INIT_FAIL(fail);

  /* Output preamble */
  printf("nag_matop_complex_gen_matrix_cond_std (f01kac) ");
  printf("Example Program Results\n\n");
  fflush(stdout);

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

  /* Read in the problem size and the required function */
  scanf("%" NAG_IFMT "%99s%*[^\n]", &n, nag_enum_arg);

  pda = n;
  if (!(a = NAG_ALLOC((pda) * (n), Complex))) {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }

  /* nag_enum_name_to_value (x04nac)
   * Converts Nag enum member name to value
   */
  fun = (Nag_MatFunType)nag_enum_name_to_value(nag_enum_arg);

  /* Read in the matrix A from data file */
  for (i = 0; i < n; i++)
    for (j = 0; j < n; j++)
      scanf(" ( %lf , %lf ) ", &A(i, j).re, &A(i, j).im);
  scanf("%*[^\n] ");

  /* Print matrix A using nag_file_print_matrix_complex_gen (x04dac)
   * Print complex general matrix (easy-to-use)
   */
  nag_file_print_matrix_complex_gen(order, Nag_GeneralMatrix, Nag_NonUnitDiag,
                                    n, n, a, pda, "A", NULL, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_file_print_matrix_complex_gen (x04dac)\n%s\n",
           fail.message);
    exit_status = 2;
    goto END;
  }

  /* Find absolute condition number estimate using
   * nag_matop_complex_gen_matrix_cond_std (f01kac)
   * Condition number for the exponential, logarithm, sine, cosine,
   * sinh or cosh of a complex matrix
   */
  nag_matop_complex_gen_matrix_cond_std(fun, n, a, pda, &conda, &norma, &normfa,
                                        &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_matop_complex_gen_matrix_cond_std (f01kac)\n%s\n",
           fail.message);
    exit_status = 1;
    goto END;
  }

  /* Print absolute condition number estimate */
  printf("\nF(A) = %s(A)\n", nag_enum_arg);
  printf("Estimated absolute condition number is: %7.2f\n", conda);

  /* nag_machine_precision (x02ajc) The machine precision */
  eps = nag_machine_precision;

  /* Find relative condition number estimate */
  if (normfa > eps) {
    cond_rel = conda * norma / normfa;
    printf("Estimated relative condition number is: %7.2f\n", cond_rel);
  } else {
    printf("The estimated norm of f(A) is effectively zero");
    printf("and so the relative condition number is undefined.\n");
  }

END:
  NAG_FREE(a);
  return exit_status;
}