/* nag_dsteqr (f08jec) Example Program.
 *
 * Copyright 2014 Numerical Algorithms Group.
 *
 * Mark 7, 2001.
 */

#include <stdio.h>
#include <nag.h>
#include <nag_stdlib.h>
#include <nagf08.h>
#include <nagf16.h>
#include <nagx04.h>

int main(void)
{
  /* Scalars */
  Integer       i, j, k, n, pdz, d_len, e_len, rowinc;
  Integer       exit_status = 0;
  double        r;
  /* Arrays */
  double        *z = 0, *d = 0, *e = 0;
  /* Nag Types */
  NagError      fail;
  Nag_OrderType order;
  
#ifdef NAG_COLUMN_MAJOR
#define Z(I, J) z[(J - 1) * pdz + I - 1]
  order = Nag_ColMajor;
#else
#define Z(I, J) z[(I - 1) * pdz + J - 1]
  order = Nag_RowMajor;
#endif

  INIT_FAIL(fail);
  
  printf("nag_dsteqr (f08jec) Example Program Results\n\n");
  
  /* Skip heading in data file */
  scanf("%*[^\n] ");
  scanf("%ld%*[^\n] ", &n);
#ifdef NAG_COLUMN_MAJOR
  rowinc = 1;
#else
  rowinc = n;
#endif
  pdz = n;
  d_len = n;
  e_len = n - 1;
  
  /* Allocate memory */
  if (!(z = NAG_ALLOC(n * n, double)) ||
      !(d = NAG_ALLOC(d_len, double)) ||
      !(e = NAG_ALLOC(e_len, double)))
    {
      printf("Allocation failure\n");
      exit_status = -1;
      goto END;
    }
  /* Read T from data file */
  for (i = 0; i < d_len; ++i)
    scanf("%lf", &d[i]);
  for (i = 0; i < e_len; ++i)
    scanf("%lf", &e[i]);
  /* Calculate all the eigenvalues and eigenvectors of tridiagonal matrix T,
   * reduced from real symmetric matrix using nag_dsteqr (f08jec).
   */
  nag_dsteqr(order, Nag_InitZ, n, d, e, z, pdz, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_dsteqr (f08jec).\n%s\n", fail.message);
    exit_status = 1;
    goto END;
  }

  /* Normalize the eigenvectors */
  for(j=1; j<=n; j++) {
    nag_damax_val(n, &Z(1,j), rowinc, &k, &r, &fail);
    for (i=1; i<=n; i++)
      Z(i,j) = Z(i,j)/r;
  }

  /* Print eigenvalues and eigenvectors */
  printf(" Eigenvalues\n");
  for (i = 0; i < n; ++i)
    printf("  %7.4lf", d[i]);
  printf("\n\n");

  /* Print real general matrix Z using easy-to-use
   * nag_gen_real_mat_print (x04cac).
   */
  fflush(stdout);
  nag_gen_real_mat_print(order, Nag_GeneralMatrix, Nag_NonUnitDiag, n, n, z,
                         pdz, "Eigenvectors", 0, &fail);
  if (fail.code != NE_NOERROR) {
    printf("Error from nag_gen_real_mat_print (x04cac).\n%s\n", fail.message);
    exit_status = 1;
  }

 END:
  NAG_FREE(d);
  NAG_FREE(e);
  NAG_FREE(z);
  return exit_status;
}