Ease a message into its row fast first, its colour ahead of it, and out slow first

A message fell in on t*t, an ease-in: it hung near its start for the first
frames and was still moving at its fastest when it hit the row, a sixth of a
row in its last frame. It now decelerates into place with an ease-out cubic,
slide = -(1-t)^3: a quarter of the way in the first frame, and the last
frames only settle it. There is no overshoot. At a row's height and the
dozen frames of the 180 ms fall, a follow-through is a pixel or two, which
reads as a jitter rather than a bounce. MessageFall keeps its 180 ms: the
ease-out puts the chip where it is going within about 100 ms.

The colour leads the motion: alpha = 1 - (1 - min(1, 2t))^2, whole by half
way, so what lands is already legible. The SDL shell used to show the chip
solid while it slid and fade it only on the way out; it now fades it up with
the same alpha, and the rule under a chip carries the chip's fade (a new
TagLayer.fade) instead of standing solid while the chip comes or goes.

The dissolve was an ease-out, (1-t)^2: it lost a tenth of its colour in the
first frame and spent its last frames nearly invisible. An exit eases in
instead, alpha = 1 - t^2 over the same 300 ms: it lets go gently and leaves
faster and faster. t is now counted to the last frame, so that frame shows
it gone rather than it blinking out from 0.3%. 1 - t^3 was the other
candidate; in captures it held the chip nearly untouched for half the
dissolve after the linger had already held it, then dropped a sixth of its
colour a frame, which reads as a pop. It stays in place: the lines stacked
around it do not move, and a drift would read as it leaving its row.

The test pins the shapes: a fast first step into the row, never past it,
solid by half way; a dissolve whose first drop is smaller than its last and
which ends at exactly nothing.

Co-Authored-By: Claude Opus 5.5 (1M context) <[email protected]>

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