Ok so I actually got around to the work on Thunder IV and Thundaga III a lot quicker than I thought.
I looked at trying to verify the "V" value and find the inflection point.
I also found the way this website explains the equation to be easier to understand:
https://www.bg-wiki.com/index.php?title ... did=204014The order of multiplication is a little different but the numbers either way are very similar.
So first thing I did was going out to ronfaure and cast Thunder IV on wild rabbits with 78 INT, my inherent +32MAB and +10 from merits, and a chat staff. It hit for 1107.
Then I jumped to 89 INT expecting to see that I was capped, but my damage raised to 1144.
I went all the way up to 112 INT (or a dINT of 103) and still couldn't find a point where I capped or find the inflection point.
So essentailly even with 103 INT over your target you still get full benefit of +1 INT on Thunder IV.
Here is the math to support this:
V = 541 from table and M = 2 for tier IV's.
At +42 MAB, a chat staff, and 108 INT I hit the Wild rabbit for 1205.
D = MAB*(staff*(V + (dINT * M))) = Floor(1.42*Floor(1.15*Floor(541 + (108-9)*2)))) = 1205
or
D= 541 + (108-9)*2 = 739
staff = 739*1.15 = 849.85 floored to 849
MAB = 849*1.42 = 1205.58 floored to 1205
I then raised my INT to 109 and hit the Wild rabbit for 1209.
D = MAB*(staff*(V + (dINT * M))) = Floor(1.42*Floor(1.15*Floor(541 + (109-9)*2)))) = 1209
If I had reached inflection @108 INT, my inflection would have been dINT=99 and…
D = MAB*(staff*(V + inflection*M + ((dINT-inflection)*M/2)))) = Floor(1.42*Floor(1.15*Floor(541 + 99*2+ ((109-9-99)*2)/2)))) = 1208
Since it was only off by 1 damage I moved to INT = 112, and hit for 1219.
D = MAB*(staff*(V + (dINT * M))) = Floor(1.42*Floor(1.15*Floor(541 + (112-9)*2)))) = 1219
If I had reached inflection @108 INT, my inflection would have been dINT=99 and…
D = MAB*(staff*(V + inflection*M + ((dINT-inflection)*M/2)))) = Floor(1.42*Floor(1.15*Floor(541 + 99*2+ ((112-9-99)*2)/2)))) = 1212
Since you never hit cap or inflection in any practical scenario you simplify the damage equation.
So here is the base equation (in my previous post I forgot the "*M" term on the 1st inflection term).
dINT<0 (dINT is negative), D = floor(V + (dINT*M/2))
dINT>0, but less than or eqaual to inflectio, D = floor(V + dINT*M)
dINT>0, but greater than inflection, D = floor(V + inflection*M + ((dINT-inflection)*M/2))
For dINT > 0, but after some cap: D = cap
V: is a base from the table
M: is multiplier for spell type, when dINT< 0 M= 1
Inflection: for dINT>0, inflection is the first dINT value where +2INT = +1 Dmg is true
Here is the practical Nasomi Thunder IV equation:
dINT<0 (dINT is negative), D = floor(541 + dINT/2)
dINT>0, D = floor(541 + dINT*2)
This is good to confirm as now we definitley know +1 INT translates to +2 base magic damage BEFORE multiplication bonuses(like MAB+ gear, staff, etc).
As a side not I was able to confirm during this test that Chatoyant staff is +%15 damage and the multiplication term is separate from the MAB+.
Also, earth weather occurred in the middle of the test and I found the detriment to be -10%.
See images below for data.
Finally,
I also confrimed thundage III has a V = 697, M = 1.5 and I couldn't find the inflection or cap up to 112 INT or 103dINT.
Here is the practical Nasomi Thundaga III equation:
dINT<0 (dINT is negative), D = floor(697 + dINT/2)
dINT>0, D = floor(697 + dINT*1.5)
I did also check the multi target damage reduction equation to work correctly with 2 mobs, 5 mobs, and 11 mobs tested.
-ga spells with 1 target = multiply by 1
2-9 targets = 0.9 - 0.05T where T is the number of targets
10 or more targets is 0.4
So another example where I hit 1110 on two wild rabbits and below is the math.
At +42 MAB, a chat staff, and 112 INT I hit 2 Wild rabbits for 1110
D = 697+103*1.5 = 851.5, floor to 851
Multi target reduction = 851*(0.9-0.05*2) = 851*0.8 = 680.8, floor to 680
Chat staff = 680*1.15 = 782
MAB+ = 782*1.42 = 1110.44 floor to 1110.
/tell Odiin or Bolmster in game with questions or friend me on discord OdiinsEye#1473
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