/* nag_zpbequ (f07htc) Example Program.
 *
 * Copyright 2017 Numerical Algorithms Group.
 *
 * Mark 26.2, 2017.
 */

#include <stdio.h>
#include <nag.h>
#include <nagx04.h>
#include <nag_stdlib.h>
#include <nagf07.h>
#include <nagx02.h>

int main(void)
{

  /* Scalars */
  double amax, big, scond, small;
  Integer pd1, pd2, exit_status = 0, i, j, kd, n, pdab;

  /* Arrays */
  Complex *ab = 0;
  double *s = 0;
  char nag_enum_arg[40];

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

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

  INIT_FAIL(fail);

  printf("nag_zpbequ (f07htc) Example Program Results\n\n");
  /* Skip heading in data file */
  scanf("%*[^\n]");
  scanf("%" NAG_IFMT "%" NAG_IFMT "%*[^\n]", &n, &kd);
  if (n < 0 || kd < 0) {
    printf("%s\n", "Invalid n or kd");
    exit_status = 1;
    goto END;
  }
  scanf(" %39s%*[^\n]", nag_enum_arg);
  /* nag_enum_name_to_value (x04nac).
   * Converts NAG enum member name to value
   */
  uplo = (Nag_UploType) nag_enum_name_to_value(nag_enum_arg);

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

  /* Read the upper or lower triangular part of the band matrix A */
  /* from data file */
  if (uplo == Nag_Upper) {
    pd1 = 0;
    pd2 = kd;
    for (i = 1; i <= n; ++i)
      for (j = i; j <= MIN(n, i + kd); ++j)
        scanf(" ( %lf , %lf )", &AB_UPPER(i, j).re, &AB_UPPER(i, j).im);
  }
  else {
    pd1 = kd;
    pd2 = 0;
    for (i = 1; i <= n; ++i)
      for (j = MAX(1, i - kd); j <= i; ++j)
        scanf(" ( %lf , %lf )", &AB_LOWER(i, j).re, &AB_LOWER(i, j).im);
  }
  scanf("%*[^\n]");

  /* Print the matrix A using nag_band_complx_mat_print_comp (x04dfc). */
  fflush(stdout);
  nag_band_complx_mat_print_comp(order, n, n, pd1, pd2, ab, pdab,
                                 Nag_BracketForm, "%11.2e", "Matrix A",
                                 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;
  }
  printf("\n");

  /* Compute diagonal scaling factors using nag_zpbequ (f07htc). */
  nag_zpbequ(order, uplo, n, kd, ab, pdab, s, &scond, &amax, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_zpbequ (f07htc).\n%s\n", fail.message);
    exit_status = 1;
    goto END;
  }

  printf("scond = %10.1e, amax = %10.1e\n", scond, amax);
  printf("\nDiagonal 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_real_safe_small_number (x02amc), nag_machine_precision (x02ajc) and
   * nag_real_base (x02bhc)
   */
  small = nag_real_safe_small_number / (nag_machine_precision *
                                        nag_real_base);
  big = 1.0 / small;
  if (scond < 0.1 || amax < small || amax > big) {
    /* Scale A */
    if (uplo == Nag_Upper)
      for (j = 1; j <= n; ++j)
        for (i = MAX(1, j - kd); i <= j; ++i) {
          AB_UPPER(i, j).re *= s[i - 1] * s[j - 1];
          AB_UPPER(i, j).im *= s[i - 1] * s[j - 1];
        }
    else
      for (j = 1; j <= n; ++j)
        for (i = j; i <= MIN(n, j + kd); ++i) {
          AB_LOWER(i, j).re *= s[i - 1] * s[j - 1];
          AB_LOWER(i, j).im *= s[i - 1] * s[j - 1];
        }

    /* Print the scaled matrix using 
     * nag_band_complx_mat_print_comp (x04dfc). 
     */
    fflush(stdout);
    nag_band_complx_mat_print_comp(order, n, n, pd1, pd2, ab, pdab,
                                   Nag_BracketForm, "%7.4f", "Scaled matrix",
                                   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;
    }
  }
END:
  NAG_FREE(ab);
  NAG_FREE(s);

  return exit_status;
}

#undef AB_UPPER
#undef AB_LOWER