/* nag_mv_procustes (g03bcc) Example Program.
 *
 * Copyright 1998 Numerical Algorithms Group.
 *
 * Mark 5, 1998.
 * Mark 8 revised, 2004.
 *
 */

#include <nag.h>
#include <nagx04.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(int argc, char *argv[])
{
  FILE              *fpin, *fpout;
  Integer           exit_status = 0, i, j, m, n, tdr, tdx, tdy;
  char              nag_enum_arg[40];
  double            alpha, *r = 0, *res = 0, rss, *x = 0, *y = 0, *yhat = 0;
  Nag_RotationScale scale;
  Nag_TransNorm     stand;
  NagError          fail;

  INIT_FAIL(fail);

  /* Check for command-line IO options */
  fpin = nag_example_file_io(argc, argv, "-data", NULL);
  fpout = nag_example_file_io(argc, argv, "-results", NULL);
  fprintf(fpout, "nag_mv_procustes (g03bcc) Example Program Results\n\n");

  /* Skip heading in data file */
  fscanf(fpin, "%*[^\n]");
  fscanf(fpin, "%ld", &n);
  fscanf(fpin, "%ld", &m);
  fscanf(fpin, "%s", nag_enum_arg);
  /* nag_enum_name_to_value(x04nac).
   * Converts NAG enum member name to value
   */
  stand = (Nag_TransNorm) nag_enum_name_to_value(nag_enum_arg);
  fscanf(fpin, "%s", nag_enum_arg);
  scale = (Nag_RotationScale) nag_enum_name_to_value(nag_enum_arg);
  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)))
        {
          fprintf(fpout, "Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdr = m;
      tdx = m;
      tdy = m;
    }
  else
    {
      fprintf(fpout, "Invalid m or n.\n");
      exit_status = 1;
      return exit_status;
    }
  for (i = 0; i < n; ++i)
    {
      for (j = 0; j < m; ++j)
        fscanf(fpin, "%lf", &X(i, j));
    }
  for (i = 0; i < n; ++i)
    {
      for (j = 0; j < m; ++j)
        fscanf(fpin, "%lf", &Y(i, j));
    }

  /* 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)
    {
      fprintf(fpout, "Error from nag_mv_procustes (g03bcc).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }

  fprintf(fpout, "\n          Rotation Matrix\n\n");
  for (i = 0; i < m; ++i)
    {
      for (j = 0; j < m; ++j)
        fprintf(fpout, "  %7.3f  ", R(i, j));
      fprintf(fpout, "\n");
    }
  if (scale == Nag_LsqScale)
    {
      fprintf(fpout, "\n%s%10.3f\n", " Scale factor = ", alpha);
    }
  fprintf(fpout, "\n         Target Matrix \n\n");
  for (i = 0; i < n; ++i)
    {
      for (j = 0; j < m; ++j)
        fprintf(fpout, "  %7.3f  ", Y(i, j));
      fprintf(fpout, "\n");
    }
  fprintf(fpout, "\n         Fitted Matrix\n\n");
  for (i = 0; i < n; ++i)
    {
      for (j = 0; j < m; ++j)
        fprintf(fpout, "  %7.3f  ", YHAT(i, j));
      fprintf(fpout, "\n");
    }
  fprintf(fpout, "\n%s%10.3f\n", "RSS = ", rss);
 END:
  if (fpin != stdin) fclose(fpin);
  if (fpout != stdout) fclose(fpout);
  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;
}