-static void x_update_end (struct frame *);
-static void XTframe_up_to_date (struct frame *);
-static void x_clear_area1 (Display *, Window, int, int, int, int, int);
-static void x_clear_frame (struct frame *);
-static _Noreturn void x_ins_del_lines (struct frame *, int, int);
-static void frame_highlight (struct frame *);
-static void frame_unhighlight (struct frame *);
-static void x_new_focus_frame (struct x_display_info *, struct frame *);
-static void x_focus_changed (int, int, struct x_display_info *,
- struct frame *, struct input_event *);
-static void XTframe_rehighlight (struct frame *);