if (!is_numeric($end)) { $end = $this->last_update(); }
elseif ($end < 0) { $end += $this->last_update(); }
$end = intval($end/$resolution)*$resolution;
if (!is_numeric($end)) { $end = $this->last_update(); }
elseif ($end < 0) { $end += $this->last_update(); }
$end = intval($end/$resolution)*$resolution;