/* nag_lapackeig_zgeev (f08nnc) Example Program.
 *
 * Copyright 2024 Numerical Algorithms Group.
 *
 * Mark 30.1, 2024.
 */

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

int main(void) {
  /* Scalars */
  Integer exit_status = 0, i, j, n, pda, pdvr;

  /* Arrays */
  Complex *a = 0, *vr = 0, *w = 0;
  Complex dummy[1];

  /* Nag Types */
  NagError fail;
  Nag_OrderType order;

#ifdef NAG_COLUMN_MAJOR
#define A(I, J) a[(J - 1) * pda + I - 1]
#define VR(I, J) vr[(J)*pdvr + I]
  order = Nag_ColMajor;
#else
#define A(I, J) a[(I - 1) * pda + J - 1]
#define VR(I, J) vr[(I)*pdvr + J]
  order = Nag_RowMajor;
#endif

  INIT_FAIL(fail);

  printf("nag_lapackeig_zgeev (f08nnc) Example Program Results\n\n");

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

  pda = n;
  pdvr = n;
  /* Allocate memory */
  if (!(a = NAG_ALLOC(n * n, Complex)) || !(vr = NAG_ALLOC(n * n, Complex)) ||
      !(w = NAG_ALLOC(n, Complex))) {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }

  /* Read the matrix A from data file */
  for (i = 1; i <= n; ++i)
    for (j = 1; j <= n; ++j)
      scanf(" ( %lf , %lf )", &A(i, j).re, &A(i, j).im);
  scanf("%*[^\n]");

  /* Compute the eigenvalues and right eigenvectors of A
     using nag_lapackeig_zgeev (f08nnc). */
  nag_lapackeig_zgeev(order, Nag_NotLeftVecs, Nag_RightVecs, n, a, pda, w,
                      dummy, 1, vr, pdvr, &fail);

  if (fail.code != NE_NOERROR) {
    printf("Error from nag_lapackeig_zgeev (f08nnc).\n%s\n", fail.message);
    exit_status = 1;
    goto END;
  }

  /* Print eigenvalues and right eigenvectors. */
  for (j = 0; j < n; ++j) {
    printf("\nEigenvalue %3" NAG_IFMT " = ", j + 1);
    if (w[j].im == 0.0)
      printf("%13.4e\n", w[j].re);
    else
      printf(" (%13.4e, %13.4e)\n", w[j].re, w[j].im);

    printf("\nEigenvector %2" NAG_IFMT "\n", j + 1);
    for (i = 0; i < n; ++i)
      printf("%18s(%13.4e, %13.4e)\n", "", VR(i, j).re, VR(i, j).im);
    printf("\n");
  }

END:
  NAG_FREE(a);
  NAG_FREE(vr);
  NAG_FREE(w);

  return exit_status;
}

#undef A