NAG Library Manual, Mark 29.3
Interfaces:  FL   CL   CPP   AD 

NAG CL Interface Introduction
Example description
/* nag_tsa_multi_varma_diag (g13dsc) Example Program.
 *
 * Copyright 2023 Numerical Algorithms Group.
 *
 * Mark 29.3, 2023.
 */

#include <nag.h>
#include <stdio.h>

int main(void) {
  /* Scalars */
  double cgetol, chi, rlogl, siglev;
  Integer exit_status = 0, i, icm, idf, kmax, ip, iprint, iq, pdrcm, ishow;
  Integer j, k, m, maxcal, n, niter, npar;
  Nag_Boolean exact;
  Nag_IncludeMean mean;
  /* Arrays */
  char nag_enum_arg[40];
  double *cm = 0, *g = 0, *par = 0, *qq = 0, *r0 = 0, *r = 0;
  double *rcm = 0, *v = 0, *w = 0;
  Integer *iw = 0;
  /* Nag types */
  Nag_Boolean *parhld = 0;
  NagError fail;

#define W(I, J) w[(J - 1) * kmax + I - 1]
#define QQ(I, J) qq[(J - 1) * kmax + I - 1]

  INIT_FAIL(fail);

  printf("nag_tsa_multi_varma_diag (g13dsc) Example Program Results\n");
  fflush(stdout);

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

  if (k > 0 && n >= 3) {
    kmax = k;
    /* Allocate memory */
    if (!(qq = NAG_ALLOC(k * kmax, double)) ||
        !(r0 = NAG_ALLOC(k * kmax, double)) ||
        !(v = NAG_ALLOC(n * kmax, double)) ||
        !(w = NAG_ALLOC(n * kmax, double))) {
      printf("Allocation failure\n");
      exit_status = -1;
      goto END;
    }
  } else {
    printf("Invalid parameter values\n");
    exit_status = -1;
    goto END;
  }

  for (i = 1; i <= k; ++i) {
    for (j = 1; j <= n; ++j) {
      scanf("%lf", &W(i, j));
    }
  }
  scanf("%*[^\n]");
  scanf("%" NAG_IFMT "%" NAG_IFMT " %39s %" NAG_IFMT "%*[^\n] ", &ip, &iq,
        nag_enum_arg, &m);
  /* nag_enum_name_to_value (x04nac).
   * Converts NAG enum member name to value
   */
  mean = (Nag_IncludeMean)nag_enum_name_to_value(nag_enum_arg);
  if (ip >= 0 && iq >= 0) {
    npar = (ip + iq) * k * k;
    if (mean == Nag_MeanInclude) {
      npar += k;
    }
    icm = npar;
    pdrcm = m * k * k;
  } else {
    printf("Invalid parameter values\n");
    exit_status = -1;
    goto END;
  }

  /* Allocate memory */
  if (!(cm = NAG_ALLOC(npar * icm, double)) || !(g = NAG_ALLOC(npar, double)) ||
      !(par = NAG_ALLOC(npar, double)) || !(r = NAG_ALLOC(k * k * m, double)) ||
      !(rcm = NAG_ALLOC(m * k * k * pdrcm, double)) ||
      !(parhld = NAG_ALLOC(npar, Nag_Boolean))) {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }

  for (i = 1; i <= npar; ++i) {
    par[i - 1] = 0.0;
    parhld[i - 1] = Nag_FALSE;
  }

  for (j = 1; j <= k; ++j) {
    for (i = j; i <= k; ++i) {
      QQ(i, j) = 0.0;
    }
  }
  parhld[2] = Nag_TRUE;
  exact = Nag_TRUE;
  /* ** Set iprint > 0 to obtain intermediate output ** */
  iprint = -1;
  cgetol = 1.0e-4;
  maxcal = npar * 40 * (npar + 5);
  ishow = 2;

  /* nag_tsa_multi_varma_estimate (g13ddc).
   * Multivariate time series, estimation of VARMA model
   */
  fflush(stdout);
  nag_tsa_multi_varma_estimate(k, n, ip, iq, mean, par, npar, qq, kmax, w,
                               parhld, exact, iprint, cgetol, maxcal, ishow, 0,
                               &niter, &rlogl, v, g, cm, icm, &fail);
  if (fail.code != NE_NOERROR) {
    printf("\n nag_tsa_multi_varma_estimate (g13ddc) message: %s\n\n",
           fail.message);
    exit_status = 1;
    goto END;
  }

  if (fail.code == NE_NOERROR || fail.code == NE_G13D_MAXCAL ||
      fail.code == NE_MAX_LOGLIK || fail.code == NE_G13D_BOUND ||
      fail.code == NE_G13D_DERIV || fail.code == NE_HESS_NOT_POS_DEF) {
    printf("\nOutput from nag_tsa_multi_varma_diag (g13dsc)\n");
    fflush(stdout);
    ishow = 1;
    /* nag_tsa_multi_varma_diag (g13dsc).
     * Multivariate time series, diagnostic checking of
     * residuals, following nag_tsa_multi_varma_estimate (g13ddc)
     */
    nag_tsa_multi_varma_diag(k, n, v, k, ip, iq, m, par, parhld, qq, ishow, 0,
                             r0, r, rcm, pdrcm, &chi, &idf, &siglev, &fail);
    if (fail.code != NE_NOERROR) {
      printf("nag_tsa_multi_varma_diag (g13dsc) message: %s\n\n", fail.message);
      exit_status = 1;
    }
  }

END:
  NAG_FREE(cm);
  NAG_FREE(g);
  NAG_FREE(par);
  NAG_FREE(qq);
  NAG_FREE(r0);
  NAG_FREE(r);
  NAG_FREE(rcm);
  NAG_FREE(v);
  NAG_FREE(w);
  NAG_FREE(iw);
  NAG_FREE(parhld);

  return exit_status;
}