/* nag_mv_canon_corr (g03adc) 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 Z(I, J)   z[(I) *tdz + J]
#define CVX(I, J) cvx[(I) *tdcvx + J]
#define CVY(I, J) cvy[(I) *tdcvy + J]
#define E(I, J)   e[(I) *tde + J]
int main(void)
{
  Integer  exit_status = 0, i, *isz = 0, j, m, n, ncv, nx, ny, tdcvx, tdcvy,
           tde = 6;
  Integer  tdz;
  NagError fail;
  char     weight[2];
  double   *cvx = 0, *cvy = 0, *e = 0, tol, *wt = 0, *wtptr, *z = 0;

  INIT_FAIL(fail);

  printf("nag_mv_canon_corr (g03adc) Example Program Results\n\n");

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

  scanf("%ld", &n);
  scanf("%ld", &m);
  scanf("%ld", &nx);
  scanf("%ld", &ny);
  scanf("%s", weight);

  if (nx >= 1 && ny >= 1 && n > nx+ny && m >= nx+ny)
    {
      if (!(z = NAG_ALLOC(n*m, double)) ||
          !(wt = NAG_ALLOC(n, double)) ||
          !(isz = NAG_ALLOC(m, Integer)) ||
          !(cvx = NAG_ALLOC(nx*(MIN(nx, ny)), double)) ||
          !(cvy = NAG_ALLOC(ny*(MIN(nx, ny)), double)) ||
          !(e = NAG_ALLOC((MIN(nx, ny))*6, double))

          )
        {
          printf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdz = m;
      tdcvx = MIN(nx, ny);
      tdcvy = MIN(nx, ny);
      tde = 6;
    }
  else
    {
      printf("Invalid nx or ny or n or m.\n");
      exit_status = 1;
      return exit_status;
    }
  if (*weight == 'W')
    {
      for (i = 0; i < n; ++i)
        {
          for (j = 0; j < m; ++j)
            scanf("%lf", &Z(i, j));
          scanf("%lf", &wt[i]);
        }
      wtptr = wt;
    }
  else
    {
      for (i = 0; i < n; ++i)
        {
          for (j = 0; j < m; ++j)
            scanf("%lf", &Z(i, j));
        }
      wtptr = 0;
    }
  for (j = 0; j < m; ++j)
    scanf("%ld", &isz[j]);
  tol = 1e-6;

  /* nag_mv_canon_corr (g03adc).
   * Canonical correlation analysis
   */
  nag_mv_canon_corr(n, m, z, tdz, isz, nx, ny, wtptr, e, tde,
                    &ncv, cvx, tdcvx, cvy, tdcvy, tol, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_mv_canon_corr (g03adc).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }


  printf("\n%s%2ld%s%2ld\n\n", "Rank of x = ", nx,
          " Rank of y = ", ny);
  printf("    Canonical    Eigenvalues Percentage      Chisq "
          "          DF          Sig\n");
  printf("    correlations              variation\n");

  for (i = 0; i < ncv; ++i)
    {
      for (j = 0; j < 6; ++j)
        printf("%12.4f", E(i, j));
      printf("\n");
    }
  printf("\nCanonical coefficients for x\n");
  for (i = 0; i < nx; ++i)
    {
      for (j = 0; j < ncv; ++j)
        printf("%9.4f", CVX(i, j));
      printf("\n");
    }
  printf("\nCanonical coefficients for y\n");
  for (i = 0; i < ny; ++i)
    {
      for (j = 0; j < ncv; ++j)
        printf("%9.4f", CVY(i, j));
      printf("\n");
    }
 END:
  if (z) NAG_FREE(z);
  if (wt) NAG_FREE(wt);
  if (isz) NAG_FREE(isz);
  if (cvx) NAG_FREE(cvx);
  if (cvy) NAG_FREE(cvy);
  if (e) NAG_FREE(e);
  return exit_status;
}