/* nag_mv_procustes (g03bcc) 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 X(I,J) x[(I)*tdx + J]
#define Y(I,J) y[(I)*tdy + J]
#define YHAT(I,J) yhat[(I)*tdy + J]
int main(void)
{
  Integer exit_status=0, i, j, m, n, tdr, tdx, tdy;
  NagError fail;
  Nag_RotationScale scale;
  Nag_TransNorm stand;
  char char_scale[2], char_stand[2];
  double alpha, *r=0, *res=0, rss, *x=0, *y=0, *yhat=0;

  INIT_FAIL(fail);
  Vprintf("nag_mv_procustes (g03bcc) Example Program Results\n\n");

  /* Skip heading in data file */
  Vscanf("%*[^\n]");
  Vscanf("%ld",&n);
  Vscanf("%ld",&m);
  Vscanf("%s",char_stand);
  Vscanf("%s",char_scale);

  if (m>=1 && n>=m)
    {
      if ( !( r = NAG_ALLOC(m*m, double)) ||
           !( res = NAG_ALLOC(n, double)) ||
           !( x = NAG_ALLOC(n*m, double)) ||
           !( y = NAG_ALLOC(n*m, double)) ||
           !( yhat = NAG_ALLOC(n*m, double)) )
        {
          Vprintf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdr = m;
      tdx = m;
      tdy = m;

    }
  else
    {
      Vprintf("Invalid m or n.\n");
      exit_status = 1;
      return exit_status;
    }
  for (i = 0; i < n; ++i)
    {
      for (j = 0; j < m; ++j)
        Vscanf("%lf",&X(i,j));
    }
  for (i = 0; i < n; ++i)
    {
      for (j = 0; j < m; ++j)
        Vscanf("%lf",&Y(i,j));
    }

  if (*char_stand == 'N')
    {
      stand = Nag_NoTransNorm;
    }
  else if (*char_stand == 'Z')
    {
      stand = Nag_Orig;
    }
  else if (*char_stand == 'C')
    {
      stand = Nag_OrigCentroid;
    }
  else if (*char_stand == 'U')
    {
      stand = Nag_Norm;
    }
  else if (*char_stand == 'S')
    {
      stand = Nag_OrigNorm;
    }
  else if (*char_stand == 'M')
    {
      stand = Nag_OrigNormCentroid;
    }

  if (*char_scale == 'S')
    {
      scale = Nag_LsqScale;
    }
  else if (*char_scale == 'U')
    {
      scale = Nag_NotLsqScale;
    }

  /* nag_mv_procustes (g03bcc).
   * Procrustes rotations
   */
  nag_mv_procustes(stand, scale, n, m, x, tdx, y, tdy,
                   yhat, r, tdr, &alpha, &rss, res, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_mv_procustes (g03bcc).\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }

  Vprintf("\n          Rotation Matrix\n\n");
  for (i = 0; i < m; ++i)
    {
      for (j = 0; j < m; ++j)
        Vprintf("  %7.3f  ",R(i,j));
      Vprintf("\n");
    }
  if (*char_scale == 'S' || *char_scale == 's')
    {
      Vprintf("\n%s%10.3f\n"," Scale factor = ",alpha);
    }
  Vprintf("\n         Target Matrix \n\n");
  for (i = 0; i < n; ++i)
    {
      for (j = 0; j < m; ++j)
        Vprintf("  %7.3f  ",Y(i,j));
      Vprintf("\n");
    }
  Vprintf("\n         Fitted Matrix\n\n");
  for (i = 0; i < n; ++i)
    {
      for (j = 0; j < m; ++j)
        Vprintf("  %7.3f  ",YHAT(i,j));
      Vprintf("\n");
    }
  Vprintf("\n%s%10.3f\n","RSS = ",rss);
 END:
  if (r) NAG_FREE(r);
  if (res) NAG_FREE(res);
  if (x) NAG_FREE(x);
  if (y) NAG_FREE(y);
  if (yhat) NAG_FREE(yhat);
  return exit_status;
}