/* nag_hermitian_eigensystem (f02axc) Example Program.
 *
 * Copyright 1991 Numerical Algorithms Group.
 *
 * Mark 2, 1991.
 * Mark 8 revised, 2004.
 */

#include <nag.h>
#include <stdio.h>
#include <nag_stdlib.h>
#include <nagf02.h>

#define A(I,J) a[(I)*tda + J]
#define V(I,J) v[(I)*tdv + J]
int main(void)
{
  Complex *a=0, *v=0;
  Integer exit_status=0, i, j, n, tda, tdv;
  NagError fail;
  double *r=0;

  INIT_FAIL(fail);

  Vprintf("nag_hermitian_eigensystem (f02axc) Example Program Results\n");
  Vscanf("%*[^\n]"); /* Skip heading in data file */
  Vscanf("%ld", &n);
  if (n>=1)
    {
      if ( !( r = NAG_ALLOC(n, double))  ||
           !( a = NAG_ALLOC((n)*(n), Complex)) ||
           !( v = NAG_ALLOC((n)*(n), Complex)) )
        {
          Vprintf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tda = n;
      tdv = n;
    }
  else
    {
      Vprintf("Invalid n.\n");
      exit_status = 1;
      return exit_status;
    }
  for (i=0; i<n; i++)
    for (j=0; j<n; j++)
      Vscanf(" ( %lf,  %lf ) ", &A(i,j).re,&A(i,j).im);
  /* nag_hermitian_eigensystem (f02axc).
   * All eigenvalues and eigenvectors of complex Hermitian
   * matrix
   */
  nag_hermitian_eigensystem(n, a, tda, r, v, tdv, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_hermitian_eigensystem (f02axc).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }
  Vprintf("Eigenvalues\n");
  for (i=0; i<n; i++)
    Vprintf("%9.4f", r[i]);
  Vprintf("\nEigenvectors\n");
  for (i=0; i<n; i++)
    for (j=0; j<n; j++)
      Vprintf("(%7.3f %7.3f )%s",V(i,j).re,V(i,j).im,
              (j%4==3 || j==n-1) ? "\n" : " ");
 END:
  if (r) NAG_FREE(r);
  if (a) NAG_FREE(a);
  if (v) NAG_FREE(v);
  return exit_status;
}