+ return dcp::Size (full_frame.width, rint (full_frame.width / ratio));
+}
+
+DCPTime
+time_round_up (DCPTime t, DCPTime nearest)
+{
+ DCPTime const a = t + nearest - 1;
+ return a - (a % nearest);
+}
+
+void *
+wrapped_av_malloc (size_t s)
+{
+ void* p = av_malloc (s);
+ if (!p) {
+ throw bad_alloc ();
+ }
+ return p;
+}
+
+string
+entities_to_text (string e)
+{
+ boost::algorithm::replace_all (e, "%3A", ":");
+ boost::algorithm::replace_all (e, "%2F", "/");
+ return e;
+}
+
+int64_t
+divide_with_round (int64_t a, int64_t b)
+{
+ if (a % b >= (b / 2)) {
+ return (a + b - 1) / b;
+ } else {
+ return a / b;
+ }