/* nag_mv_prin_comp (g03aac) 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 P(I,J) p[(I)*tdp + J]
#define E(I,J) e[(I)*tde + J]
#define V(I,J) v[(I)*tdv + J]
int main(void)
{
  Integer exit_status=0, i, *isx=0, j, m, n, nvar, tde=6, tdp, tdv, tdx;
  NagError fail;
  Nag_PrinCompMat pcmatrix;
  Nag_PrinCompScores scores;
  char matrix[2], std[2], weight[2];
  double *e=0, *p=0, *s=0, *v=0, *wt=0, *wtptr=0, *x=0;

  INIT_FAIL(fail);

  Vprintf("nag_mv_prin_comp (g03aac) Example Program Results\n\n");

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

  Vscanf("%s",matrix);
  Vscanf("%s",std);
  Vscanf("%s",weight);
  Vscanf("%ld",&n);
  Vscanf("%ld",&m);

  if (*matrix == 'C')
    pcmatrix = Nag_MatCorrelation;
  else if (*matrix == 'S')
    pcmatrix = Nag_MatStandardised;
  else if (*matrix == 'U')
    pcmatrix =  Nag_MatSumSq;
  else
    pcmatrix =  Nag_MatVarCovar;

  if (*std == 'S')
    scores = Nag_ScoresStand;
  else if (*std == 'U')
    scores = Nag_ScoresNotStand;
  else if (*std == 'Z')
    scores = Nag_ScoresUnitVar;
  else
    scores = Nag_ScoresEigenval;

  if (n>=2 && m>=1)
    {
      if ( !( x = NAG_ALLOC((n)*(m), double)) ||
           !( wt = NAG_ALLOC(n, double)) ||
           !( s = NAG_ALLOC(m, double))  ||
           !( isx = NAG_ALLOC(m, Integer)) )
        {
          Vprintf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdx = m;
    }
  else
    {
      Vprintf("Invalid n or m.\n");
      exit_status = 1;
      return exit_status;
    }
  if (*weight == 'U')
    {
      for (i = 0; i < n; ++i)
        {
          for (j = 0; j < m; ++j)
            Vscanf("%lf",&X(i,j));
        }
    }
  else
    {
      for (i = 0; i < n; ++i)
        {
          for (j = 0; j < m; ++j)
            Vscanf("%lf",&X(i,j));
          Vscanf("%lf",&wt[i]);
        }
      wtptr = wt;
    }
  for (j = 0; j < m; ++j)
    {
      Vscanf("%ld",&isx[j]);
    }
  Vscanf("%ld",&nvar);
  if (nvar >=1 && nvar <= MIN(n-1,m))
    {
      if ( !( p = NAG_ALLOC(nvar*nvar, double)) ||
           !( e = NAG_ALLOC(nvar*6, double)) ||
           !( v = NAG_ALLOC(n*nvar, double)) )
        {
          Vprintf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdp = nvar;
      tde = 6;
      tdv = nvar;
    }
  else
    {
      Vprintf("Invalid nvar.\n");
      exit_status = 1;
      goto END;
    }

  if (pcmatrix == Nag_MatStandardised)
    {
      for (j = 0; j < m; ++j)
        Vscanf("%lf",&s[j]);
    }

  /* nag_mv_prin_comp (g03aac).
   * Principal component analysis
   */
  nag_mv_prin_comp(pcmatrix, scores, n, m, x, tdx, isx, s, wtptr, nvar,
                   e, tde, p, tdp, v, tdv, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_mv_prin_comp (g03aac).\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }

  Vprintf("Eigenvalues  Percentage  Cumulative     Chisq      DF     Sig\n");
  Vprintf("               variation   variation\n\n");
  for (i = 0; i < nvar; ++i)
    {
      for (j = 0; j < 6; ++j)
        Vprintf("%11.4f",E(i,j));
      Vprintf("\n");
    }
  Vprintf("\nEigenvalues \n\n");
  for (i = 0; i < nvar; ++i)
    {
      for (j = 0; j < nvar; ++j)
        Vprintf("%9.4f",P(i,j));
      Vprintf("\n");
    }
  Vprintf("\nPrincipal component scores \n\n");
  for (i = 0; i < n; ++i)
    {
      Vprintf("%2ld", i+1);
      for (j = 0; j < nvar; ++j)
        Vprintf("%9.3f", V(i,j));
      Vprintf("\n");
    }
 END:
  if (x) NAG_FREE(x);
  if (wt) NAG_FREE(wt);
  if (s) NAG_FREE(s);
  if (isx) NAG_FREE(isx);
  if (p) NAG_FREE(p);
  if (e) NAG_FREE(e);
  if (v) NAG_FREE(v);
  return exit_status;
}