/* nag_mv_orthomax (g03bac) Example Program.
 *
 * Copyright 1998 Numerical Algorithms Group.
 *
 * Mark 5, 1998.
 * Mark 8 revised, 2004.
 *
 */

#include <nag.h>
#include <stdio.h>
#include <nag_stdlib.h>
#include <nagg03.h>

#define R(I,J) r[(I)*tdr + J]
#define FL(I,J) fl[(I)*tdf + J]
#define FLR(I,J) flr[(I)*tdf + J]

int main(void)
{
  Integer exit_status=0, i, iter, j, k, maxit, nvar, tdf, tdr;
  NagError fail;
  Nag_RotationLoading stand;
  char char_stand[2];
  double acc, *fl=0, *flr=0, g, *r=0;

  INIT_FAIL(fail);
  Vprintf("nag_mv_orthomax (g03bac) Example Program Results\n\n");

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

  Vscanf("%ld",&nvar);
  Vscanf("%ld",&k);
  Vscanf("%lf",&g);
  Vscanf("%s",char_stand);
  Vscanf("%lf",&acc);
  Vscanf("%ld",&maxit);

  if (*char_stand == 'S')
    stand = Nag_RoLoadStand;
  else
    stand = Nag_RoLoadNotStand;
  if ( k>=2 && nvar>= k)
    {
      if ( !( r = NAG_ALLOC(k*k, double)) ||
           !( fl = NAG_ALLOC(nvar*k, double))||
           !( flr = NAG_ALLOC(nvar*k, double)) )
        {
          Vprintf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdr = k;
      tdf = k;
      tdf = k;
    }
  else
    {
      Vprintf("Invalid k or nvar.\n");
      exit_status = 1;
      return exit_status;
    }
  for (i = 0; i < nvar; ++i)
    {
      for (j = 0; j < k; ++j)
        Vscanf("%lf",&FL(i,j));
    }
  /* nag_mv_orthomax (g03bac).
   * Orthogonal rotations for loading matrix
   */
  nag_mv_orthomax(stand, g, nvar, k, fl, tdf, flr, r, tdr, acc, maxit, &iter,
                  &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_mv_orthomax (g03bac).\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }

  Vprintf("\n     Rotated factor loadings\n\n");
  for (i = 0; i < nvar; ++i)
    {
      for (j = 0; j < k; ++j)
        Vprintf("  %8.3f",FLR(i,j));
      Vprintf("\n");
    }
  Vprintf("\n     Rotation matrix\n\n");
  for (i = 0; i < k; ++i)
    {
      for (j = 0; j < k; ++j)
        Vprintf("  %8.3f",R(i,j));
      Vprintf("\n");
    }
 END:
  if (r) NAG_FREE(r);
  if (fl) NAG_FREE(fl);
  if (flr) NAG_FREE(flr);

  return exit_status;
}