Cure Formula Changes

[Aleste]

My thoughts for today:

Upon sleeping on it and thinking some more, it seems to me that the cure4 formula has at least 3 different gradients in it; initially observed yesterday and eyeballed with some rulers.

Here is a very terrible and quick mspaint-job to get the point across.


Mathematically we can approximate where the lines meet by calculating the gradient of both lines and figuring out the intersect point between them. This should give a good idea where to further investigate for testing.

NOTE: Working to 4 significant figures. It's an approximation after all.

We can do this by approximating the 2 lines using the standard straight line formula y=mx+b.
Gradient(m) of the 141-157 line is:
(413-405)/(157-141) = 0.5

We can then substitute in a few values to obtain our b value:
(405)=(0.5)(141)+b
b=405-(141*0.5)
b=334.5

Thusly Line A (141-157) can be approximated by:
y=0.5x+334.5

Now for the second line:
Gradient(m) of 264-299 is:
(497-473)/(299-264) = 0.6857

Substitute in some values:
497=0.6857(299)+b
b=291.96

Line B can be approximated by:
y=0.6857x+291.96

Aaaaand now its graph time.


These 2 lines intersect around the ~240 mark.

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It would appear that the effect of healing magic on cure4 seems to scale differently (at least, lower bounds not tested) in the following areas:

ADDITIONAL EDIT:
<240
240-340
340-???
???-???

My aim for testing today is to physically test values around the 240 mark, above and below in the hopes of observing the precise point at which the gradients change.

If there is a gradient change at the 240 mark, we can then pick a few more scattered skill values between the 2 to confirm or deny extrapolating the line.
If there isn't a gradient change at the 240 mark, then we can assume there is at least 2 more points at which the graph changes.

Additional edit note: maybe it's just me, but the gradient of the highest tiers seems to be different than the 340-400 ish results. I'll do the gradient math in a sec to see if its just my eyes playing tricks on me.

Though, it would be handy if it was 0-140, 140-240, 240-340, 340-440, 440+