Damage Formula Thread

[Nyaanyaa]

Hypothesis

The Cure Formula follows one of these models:

• HP=floor(3%±RHP),
• HP=floor(3%±floor(RHP)),
• HP=floor(3%±round(RHP)),
• HP=round(3%±RHP),
• HP=round(3%±floor(RHP)), or
• HP=round(3%±round(RHP));

where:

• HP = HP Cured
• RHP = Raw Healing Power (the "average" cure before deviation)

Data and Immediate Results

All data was collected on Thaumaturge.


Figure 1

The red encircled areas in figure 1 show how the closest integers for all these values are below the minimum RHP needed and above the maximum RHP allowed. We can therefore evidently rule out 4 of the 6 supposed constructions, leaving us with:

• HP=floor(3%±RHP),
• HP=round(3%±RHP),
  
• HP=floor(3%±floor(RHP)),
• HP=floor(3%±round(RHP)),
• HP=round(3%±floor(RHP)), or
• HP=round(3%±round(RHP)).

Graphing the Data


Figure 2

Figure 2 shows the expected RHP range for the supposed model HP=floor(3%±RHP) for the data from figure 1. The x-axis shows the MND values while the y-axis shows the RHP. I believe it's evident that no function without some sort of rounding/flooring can be found for this range (unless I'm missing something). We can therefore conclude that the model HP=floor(3%±RHP) is false.


Figure 3

Figure 3 shows the expected RHP range for the suposed model HP=round(3%±RHP) for the data from figure 1. Similar to the above case, we can conclude that the supposed model is false.

Conclusions and Closing Thoughts
All of the suggested models have been proven false. Evidently, some flooring/rounding must be done to reach integers as final values. My current belief is that the real model is somewhat like this:

HP=floor(3%±RHP), or
HP=round(3%±RHP);

where:
RHP=round(x)/2 (or 3, 4, 5, ...), or
RHP=floor(x)/2 (or 3, 4, 5, ...).

Of note is that the possible RHP range for MND34 in the given data is the narrowest and therefore the most accurate.

Edit: Crossposted on http://www.bluegartr.com/threads/119...24#post5994524

[Celaeris]

I'm going to point out that classes and jobs have different formulas for healing. I did some healing tests on WHM/CNJ and noticed that with the same MND and Det, you'd get different healing ranges. Be careful with testing stuff with classes, since it won't necessarily apply to jobs. For my test WHM/CNJ mind's can be matched with the DL pants to compensate for the loss of the job crystal, and this was done in 2.0.

[Nyaanyaa]

Thank you, Celaeris. Clearly more testing needs to be done and on different jobs/classes. I could see the denominator/multiplier that applies after rounding/flooring for RHP changing depending on job/class e.g., for THM it could be RHP=floor(x)/2 whereas for WHM it would be RHP=floor(x)/1; however, at the current point that's merely hypothesizing. I believe it at the current point more important, regardless, to find the similiarities rather than the differences in the formula for different jobs/classes.