One way to think of transitions is as being defined by two clips A and
B. Let's define the start of Transition(A, B) as B.start, and the
duration as (A.end - B.start). A transition could be an object that
observes A and B, updating the properties of the gnloperation and
gst.Controller objects it owns when A and B change (I already have code
which implements this).

The question is, "when should Transition objects be created and
destroyed?" Our notion of transitions implies that they can only exist
when at least two clips "overlap" each other on the same layer (have
equal priority), like this (here the clips are staggered for clarity):

[AAAAAAAAA]
     [BBBBBBBBBBBB]
|---Time--------------->

Furthermore, Transition(A, B) is invalid (should not exist) in these
situations:

[AAAAAAAAA]
   [BBBB]

    [AAA]
[BBBBBBBBBBB]

Do we consider Transition(A, B) and Transition(B, A) to be the same
transition? It will probably be simpler to implement if we think of
transitions as "directional", and require that transitions always go
from earliest to latest. Thus Transition(A, B) is not the same as
Transition(B, A). So Transition(A, B) is invalid in the following case
[but Transition(B, A) is valid].

      [AAAAAAA]
[BBBBBBBB]

In other words, Transition(A, B) is valid (should exist) IFF
* A.priority = B.priority, and
* A.start < B.start < A.end < B.end

So much for the case when there are exactly two clips to consider. If
have three or more overlapping clips, there suddenly seem to be too many
cases to consider.

[AAAAAAA]
     [BBBBBBBB]
      [CCCCCC]
[CCCCCC]
  [CCCCCCCCCC]
      [C]
        [CCCCCCCCCC]
....

I would argue that we should add the restriction that a transition can
only exist when exactly two clips overlap. Put another way, we should
also consider Transition(A, B) invalid if there exists some clip C that
intersects the area defined by Transition(A, B).

The simplest approach for automatically managing transitions is just to
do some house-keeping after any operation which adds, removes, or
modifies at least one clip:

* remove any existing transitions which have become invalid
* create transitions for valid pairs which do not already have transitions

In pseudocode:

transitions = hashtable()

procedure updateTransitions:
   for each A, B in transitions:
       if not valid(A, B): del transitions[A, B]
   for 0 < i < max_priority:
      for each A, B in getOverlapping(i):
          if not (A, B) in transitions:
             transitions[A, B] = Transition(A, B)

The tricky part is defining valid(), because you need to check for clips
which might intersect the region between A and B. Once you have valid()
you can write getOverlapping(), which returns all the valid pairs at the
given priority.

I could develop this approach, but it doesn't lend itself to giving
instantaneous feedback during interactive operations (i.e. showing when
transitions are created or destroyed while the user is moving the
mouse). I'm concerned that iterating over all transitions and track
objects repeatedly will create lag in the U.I. Any ideas? Is the any of
the gap prevention code relevant?


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