Add class to active element and its parent in nav menu

Depending on the context you need this and working off of the code you have, you can try this:

add_filter('nav_menu_css_class', 'add_active_class', 10, 2 );

function add_active_class($classes, $item) {
  $class_names = array( 'current-menu-item', 'current-menu-ancestor', 'current-menu-parent', 'current_page_parent',  'current_page_ancestor' );

  if( $item->menu_item_parent == 0 && in_array( $class_names, $classes) ) {
    $classes[] = "active";
  }

  return $classes;
}

UPDATE: if above doesn’t work because of the array as needle for in_array function due to PHP version, try below code:

add_filter('nav_menu_css_class', 'add_active_class', 10, 2 );

function add_active_class($classes, $item) {

  if( $item->menu_item_parent == 0 && 
    in_array( 'current-menu-item', $classes ) ||
    in_array( 'current-menu-ancestor', $classes ) ||
    in_array( 'current-menu-parent', $classes ) ||
    in_array( 'current_page_parent', $classes ) ||
    in_array( 'current_page_ancestor', $classes )
    ) {

    $classes[] = "active";
  }

  return $classes;
}

If you want any current item to have the class active, you can do this:

add_filter('nav_menu_css_class', 'add_active_class', 10, 2 );

function add_active_class($classes, $item) {

  if( in_array( 'current-menu-item', $classes ) ||
    in_array( 'current-menu-ancestor', $classes ) ||
    in_array( 'current-menu-parent', $classes ) ||
    in_array( 'current_page_parent', $classes ) ||
    in_array( 'current_page_ancestor', $classes )
    ) {

    $classes[] = "active";
  }

  return $classes;
}