core: fix background not blurred under transparent windows

When a window has 0 opacity, it's rendering is skipped completely. Thus
its background isn't blurred.

This commit fixes that.

Signed-off-by: Yuxuan Shui <yshuiv7@gmail.com>

src/backend/backend.c

@@ -252,7 +252,10 @@ void paint_all_new(session_t *ps, struct managed_win *t, bool ignore_damage) {
 			ps->backend_data->ops->compose(ps->backend_data, w->win_image,
 			                               w->g.x, w->g.y,
 			                               &reg_paint_in_bound, &reg_visible);
-		} else {
+		} else if (w->opacity * MAX_ALPHA >= 1){
+			// We don't need to paint the window body itself if it's
+			// completely transparent.
+
 			// For window image processing, we don't need to limit the process
 			// region to damage, since the window image data is independent
 			// from the target image data, which we want to protect.

src/compton.c

@@ -511,7 +511,8 @@ static struct managed_win *paint_preprocess(session_t *ps, bool *fade_running) {
 		if (!w->ever_damaged || w->g.x + w->g.width < 1 ||
 		    w->g.y + w->g.height < 1 || w->g.x >= ps->root_width ||
 		    w->g.y >= ps->root_height || w->state == WSTATE_UNMAPPED ||
-		    (double)w->opacity * MAX_ALPHA < 1 || w->paint_excluded) {
+		    ((double)w->opacity * MAX_ALPHA < 1 && !w->blur_background) ||
+		    w->paint_excluded) {
 			// TODO: for consistency, even a window has 0 opacity, we still
 			// probably need to blur its background, so to_paint shouldn't be
 			// false for them.