Eel Roast/Eel Movement

The Eel Roast minigame uses a fairly interesting approach to animating its eels, there are two components that change according to the active level:

• traversal speed
• jump height

To determine the position of an eel during its jump it uses (second-order) bezier curves. Here is a great presentation on how they work.

Traversal Speed: In the context of bezier curves, "traversal speed" describes how much the parameter `t` is increased per second. Since the entire curve has been traversed once `t` reaches `1` we can determine the time it takes the eel to traverse the entire curve by dividing `1/t`

The traversal speed of an eel is determined randomly within the minimum and maximum of the active level.

Jump Height: This describes the maximum height between the eels starting point and the curve's peak (at `t = 0.5`), just as the traversal speed, it is determined randomly within the minimum and maximum bounds.

Both traversal speed and jump height are different for normal eels (colored and electric eels) and bonus eels.

Normal Eels

Level	Speed	Travel Time
1-3	0.2 - 0.35	5s - 2.86s
4-8	0.2 - 0.4	5s - 2.5s
9-13	0.2 - 0.48	5s - 2.08s
14-18	0.2 - 0.56	5s - 1.79s
19-23	0.2 - 0.64	5s - 1.56s
24-28	0.2 - 0.72	5s - 1.39s
29-33	0.2 - 0.8	5s - 1.25s
34-38	0.2 - 0.88	5s - 1.14s
39-43	0.2 - 0.96	5s - 1.04s
44+	0.2 - 1	5s - 1s

Level	Height
1-8	3 - 6
9+	2.5 - 6

Bonus Eels

Level	Speed	Travel Time
1-3	0.25 - 0.35	4s - 2.86s
4	0.25 - 0.4	4s - 2.5s
5-8	0.25 - 0.45	4s - 2.22s
9-13	0.25 - 0.53	4s - 1.89s
14-18	0.25 - 0.61	4s - 1.64s
19-23	0.25 - 0.69	4s - 1.45s
24-28	0.25 - 0.77	4s - 1.3s
29-33	0.25 - 0.85	4s - 1.18s
34-38	0.25 - 0.93	4s - 1.08s
39-43	0.25 - 1.01	4s - 0.99s
44-48	0.25 - 1.09	4s - 0.92s
49-53	0.25 - 1.17	4s - 0.85s
54+	0.25 - 1.25	4s - 0.8s

Level	Height
1-8	2.5 - 7.5
9+	1.5 - 7.5