/* nag_dgb_norm (f16rbc) Example Program.
 *
 * Copyright 2005 Numerical Algorithms Group.
 *
 * Mark 8, 2005.
 */

#include <stdio.h>
#include <nag.h>
#include <nag_stdlib.h>
#include <nagf16.h>
#include <nagx04.h>

int main(void)
{

  /* Scalars */
  double r_one, r_inf, r_f, r_max;
  Integer ab_size, exit_status, i, j, kl, ku; 
  Integer m, n, pdab;

  /* Arrays */
  double *ab=0;

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

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

  exit_status = 0;
  INIT_FAIL(fail);

  Vprintf( "nag_dgb_norm (f16rbc) Example Program Results\n\n");

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

  /* Read the problem dimensions */
  Vscanf("%ld%ld%ld%ld%*[^\n] ", 
	 &m, &n, &kl, &ku);

  pdab = kl + ku + 1;
#ifdef NAG_COLUMN_MAJOR
  ab_size = pdab*n;
#else
  ab_size = pdab*m;
#endif

  if (m > 0 && n > 0)
    {

      /* Allocate memory */
      if ( !(ab = NAG_ALLOC(ab_size, double)) )
	{
	  Vprintf("Allocation failure\n");
	  exit_status = -1;
	  goto END;
	}
    }
  else
    {
      Vprintf("Invalid m or n\n");
      exit_status = 1;
      return exit_status;
    }

  /* Input matrix A. */

  for (i = 1; i <= m; ++i)
    {
      for (j = MAX(1,i-kl); j <= MIN(n,i+ku); ++j)
	Vscanf("%lf", &AB(i,j));
      Vscanf("%*[^\n] ");
    }

  /* nag_dgb_norm(f16rbc).
   * calculates norm of real valued general band matrix.
   * 
   */
  nag_dgb_norm(order, Nag_OneNorm, m, n, kl, ku, ab, pdab, &r_one, &fail);
  nag_dgb_norm(order, Nag_InfNorm, m, n, kl, ku, ab, pdab, &r_inf, &fail);
  nag_dgb_norm(order, Nag_FrobeniusNorm, m, n, kl, ku, ab, pdab, &r_f, &fail);
  nag_dgb_norm(order, Nag_MaxNorm, m, n, kl, ku, ab, pdab, &r_max, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_dgb_norm.\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }

  /* Print norms of A. */
  Vprintf(" Norms of banded matrix A:\n\n");
  Vprintf(" One norm       = %7.4f\n", r_one);
  Vprintf(" Infinity norm  = %7.4f\n", r_inf);
  Vprintf(" Frobenius norm = %7.4f\n", r_f);
  Vprintf(" Maximum norm   = %7.4f\n", r_max);

 END:
  if (ab) NAG_FREE(ab);

  return exit_status;
}