/* nag_zgbtrf (f07brc) Example Program.
 *
 * Copyright 2017 Numerical Algorithms Group.
 *
 * Mark 26.2, 2017.
 */

#include <stdio.h>
#include <nag.h>
#include <nag_stdlib.h>
#include <nagf07.h>
#include <nagx04.h>

int main(void)
{
  /* Scalars */
  Integer i, ipiv_len, j, kl, ku, m, n, pdab;
  Integer exit_status = 0;
  NagError fail;
  Nag_OrderType order;

  /* Arrays */
  Complex *ab = 0;
  Integer *ipiv = 0;

#ifdef NAG_COLUMN_MAJOR
#define AB(I, J) ab[(J-1)*pdab + kl + ku + I - J]
  order = Nag_ColMajor;
#else
#define AB(I, J) ab[(I-1)*pdab + kl + J - I]
  order = Nag_RowMajor;
#endif

  INIT_FAIL(fail);

  printf("nag_zgbtrf (f07brc) Example Program Results\n\n");

  /* Skip heading in data file */
  scanf("%*[^\n] ");
  scanf("%" NAG_IFMT "%" NAG_IFMT "%" NAG_IFMT "%" NAG_IFMT "%*[^\n] ", &m,
        &n, &kl, &ku);
  ipiv_len = MIN(m, n);
  pdab = 2 * kl + ku + 1;

  /* Allocate memory */
  if (!(ab = NAG_ALLOC((2 * kl + ku + 1) * n, Complex)) ||
      !(ipiv = NAG_ALLOC(ipiv_len, Integer)))
  {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }

  /* Read A from data file */
  for (i = 1; i <= m; ++i) {
    for (j = MAX(i - kl, 1); j <= MIN(i + ku, n); ++j)
      scanf(" ( %lf , %lf )", &AB(i, j).re, &AB(i, j).im);
  }
  scanf("%*[^\n] ");

  /* Factorize A */
  /* nag_zgbtrf (f07brc).
   * LU factorization of complex m by n band matrix
   */
  nag_zgbtrf(order, m, n, kl, ku, ab, pdab, ipiv, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_zgbtrf (f07brc).\n%s\n", fail.message);
    exit_status = 1;
    goto END;
  }
  /* Print details of factorization */
  /* nag_band_complx_mat_print_comp (x04dfc).
   * Print complex packed banded matrix (comprehensive)
   */
  fflush(stdout);
  nag_band_complx_mat_print_comp(order, m, n, kl, kl + ku, ab, pdab,
                                 Nag_BracketForm, "%7.4f",
                                 "Details of factorization",
                                 Nag_IntegerLabels, 0, Nag_IntegerLabels, 0,
                                 80, 0, 0, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_band_complx_mat_print_comp (x04dfc).\n%s\n",
           fail.message);
    exit_status = 1;
    goto END;
  }
  /* Print pivot indices */
  printf("\nipiv\n");
  for (i = 1; i <= MIN(m, n); ++i)
    printf("%3" NAG_IFMT "%s", ipiv[i - 1],
           i % 7 == 0 ? "\n" : "               ");
  printf("\n");
END:
  NAG_FREE(ab);
  NAG_FREE(ipiv);
  return exit_status;
}