Source 
  File: wp-admin/includes/plugin.php 
 function add_allowed_options( $new_options, $options = '' ) {
	if ( '' === $options ) {
		global $allowed_options;
	} else {
		$allowed_options = $options;
	}
	foreach ( $new_options as $page => $keys ) {
		foreach ( $keys as $key ) {
			if ( ! isset( $allowed_options[ $page ] ) || ! is_array( $allowed_options[ $page ] ) ) {
				$allowed_options[ $page ]   = array();
				$allowed_options[ $page ][] = $key;
			} else {
				$pos = array_search( $key, $allowed_options[ $page ], true );
				if ( false === $pos ) {
					$allowed_options[ $page ][] = $key;
				}
			}
		}
	}
	return $allowed_options;
}