/* nag_mv_canon_var (g03acc) 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 X(I,J) x[(I)*tdx + J]
#define E(I,J) e[(I)*tde + J]
#define CVM(I,J) cvm[(I)*tdcvm + J]
#define CVX(I,J) cvx[(I)*tdcvx + J]
int main(void)
{

  Integer exit_status=0, i, *ing=0, irx, *isx=0, j, m, n, ncv, ng, *nig=0;
  Integer nx, tdcvm, tdcvx, tde, tdx;
  NagError fail;
  Nag_Weightstype weight;
  char wtchar[2];
  double *cvm=0, *cvx=0, *e=0, tol, *wt=0, *x=0;

  INIT_FAIL(fail);

  Vprintf("nag_mv_canon_var (g03acc) Example Program Results\n\n");

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

  Vscanf("%ld",&n);
  Vscanf("%ld",&m);
  Vscanf("%ld",&nx);
  Vscanf("%ld",&ng);
  Vscanf("%s",wtchar);
  if (n>=nx+ng && m>=nx)
    {
      if ( !( x = NAG_ALLOC(n*m, double)) ||
           !( wt = NAG_ALLOC(n, double))  ||
           !( ing = NAG_ALLOC(n, Integer)) ||
           !( e = NAG_ALLOC((MIN(nx, ng-1))*6, double)) ||
           !( cvm = NAG_ALLOC(ng*nx, double)) ||
           !( cvx = NAG_ALLOC(nx*(ng-1), double)) ||
           !( nig = NAG_ALLOC(ng, Integer)) ||
           !( isx = NAG_ALLOC(m, Integer))

           )
        {
          Vprintf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdx = m;
      tde = 6;
      tdcvm = nx;
      tdcvx = ng-1;
    }
  else
    {
      Vprintf("Invalid n or m.\n");
      exit_status = 1;
      return exit_status;
    }
  if (*wtchar == 'W' || *wtchar == 'V')
    {
      for (i = 0; i < n; ++i)
        {
          for (j = 0; j < m; ++j)
            Vscanf("%lf",&X(i,j));
          Vscanf("%lf",&wt[i]);
          Vscanf("%ld",&ing[i]);
        }
      if (*wtchar == 'W')
        weight = Nag_Weightsfreq;
      else
        weight = Nag_Weightsvar;
    }
  else
    {
      for (i = 0; i < n; ++i)
        {
          for (j = 0; j < m; ++j)
            Vscanf("%lf",&X(i,j));
          Vscanf("%ld",&ing[i]);
        }
      weight = Nag_NoWeights;
    }
  for (j = 0; j < m; ++j)
    Vscanf("%ld",&isx[j]);

  tol = 1e-6;
  /* nag_mv_canon_var (g03acc).
   * Canonical variate analysis
   */
  nag_mv_canon_var(weight, n, m, x, tdx, isx, nx, ing, ng, wt, nig,
                   cvm, tdcvm, e, tde, &ncv, cvx, tdcvx, tol, &irx, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_mv_canon_var (g03acc).\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }


  Vprintf("%s%2ld\n\n","Rank of x = ",irx);
  Vprintf("Canonical    Eigenvalues     Percentage   CHISQ"
          "        DF          SIG \n");
  Vprintf("Correlations                 Variation\n");
  for (i = 0; i < ncv; ++i)
    {
      for (j = 0; j < 6; ++j)
        Vprintf("%12.4f",E(i,j));
      Vprintf("\n");
    }
  Vprintf("\nCanonical Coefficients for X\n");
  for (i = 0; i < nx; ++i)
    {
      for (j = 0; j < ncv; ++j)
        Vprintf("%9.4f",CVX(i,j));
      Vprintf("\n");
    }
  Vprintf("\nCanonical variate means\n");
  for (i = 0; i < ng; ++i)
    {
      for (j = 0; j < ncv; ++j)
        Vprintf("%9.4f",CVM(i,j));
      Vprintf("\n");
    }
 END:
  if (x) NAG_FREE(x);
  if (wt) NAG_FREE(wt);
  if (ing) NAG_FREE(ing);
  if (e) NAG_FREE(e);
  if (cvm) NAG_FREE(cvm);
  if (cvx) NAG_FREE(cvx);
  if (nig) NAG_FREE(nig);
  if (isx) NAG_FREE(isx);
  return exit_status;
}