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We are looking for the minimum displacement of the PIP window that makes
it not intersect any system trays or the floating keyboard.

There are four cases for how the PIP window could move.
Case #1: Touches 0 obstacles. This corresponds to not moving.
Case #2: Touches 1 obstacle.
  The PIP window will be touching one edge of the obstacle.
Case #3: Touches 2 obstacles.
  The PIP window will be touching one horizontal and one vertical edge
  from two different obstacles.
Case #4: Touches more than 2 obstacles. This is handled in case #3.

To handle all these cases, we just need to check a few candidate points.
If the PIP window is displaced by one obstacle, the shortest
displacement is to move along the horizontal or vertical axis to be
directly adjacent to one of the edges of that obstacle.

If it is displaced by two obstacles, the shortest displacement is to
move to be directly adjacent to a horizontal and vertical edge - one
from each obstacle.

keyboard and unified system tray update, and the PIP window moved out of
the way of both the floating virtual keyboard and unified system tray.

Bug: 883118
Bug: 841886
Bug: b/115291749
Test: Added unittest
Test: Patched in code calling GetPositionAfterMovementAreaChange on
Change-Id: I2b500d5ba4a67fe2e309b809ec667248a19518ca
Reviewed-on: https://chromium-review.googlesource.com/c/1221427
Commit-Queue: Eliot Courtney <edcourtney@chromium.org>
Reviewed-by: Mitsuru Oshima <oshima@chromium.org>
Cr-Commit-Position: refs/heads/master@{#604523}