In TBC, Blizzard introduced one additional stats called
Resillience Rating (RR) of which decrease your crit rate by 1% and crit damage by 2% per every 39.4 RR @ level 70. Here is the list of damage calculations:
Assuming a crit rate of
C, resillience of
R, mainhand damage of
MH, offhand damage of
OH, respective damage modifier of
Mod, then Backstab(
BS), Hemorrhage(
Hemo), Mutilate(
Mut), Sinister Strike (
SS) damage will be:
BS(C, MH, R, Mod) = 1.2 * (1.5MH + Mod) * {[1 - (C + 0.3 - R)] + 2.3 * ( 1 - R) * (C + 0.3 - R)}
Hemo(C, MH, R, Mod) = (MH + Mod) * {[1 - (C - R)] + 2.3 * ( 1 - R) * (C - R)}
Mut(C, MH, OH, R, Mod) = 1.2 * 1.5 * (MH + OH + 2Mod) * {[1 - (C - R)] + 2.3 * ( 1 - R) * (C - R)}
SS(C, MH, R, Mod) = 1.06 * (MH + Mod) * {[1 - (C - R)] + 2.3 * ( 1 - R) * (C - R)}
After some simplification, the respective formula becomes:
BS(C, MH, R, Md) = (1.8 MH + 1.2Mod) * [(1.39 + 1.3C) + (4.6R^2 - 4.6RC - 2.68R)]
Hemo(C, MH, R, Mod) = (MH + Mod) * [(1 + 1.3C) + (4.6R^2 - 4.6RC - 1.3R)]
Mut(C, MH, OH, R, Md) = 1.8 * (MH + OH + 2Mod) * [(1 + 1.3C) + (4.6R^2 - 4.6RC - 1.3R)]
SS(C, MH, R, Mod) = 1.06 * (MH + Mod) * [(1 + 1.3C) + (4.6R^2 - 4.6RC - 1.3R)]
Taking partial derivative on RR,
dBS/dR = (1.8 MH + 1.2Mod) * [9.2R - 4.6C - 2.68]
dHemo/dR = (MH + Mod) * [9.2R - 4.6C - 1.3]
dMut/dR = 1.8 * (MH + OH + 2Mod) * [9.2R - 4.6C - 1.3]
dSS/dR = 1.06 * (MH + Mod) * [9.2R - 4.6C - 1.3]
Sub in the highest level modifiers,
dBS/dR = (1.8MH + 306) * [9.2R - 4.6C - 2.68]
dHemo/dR = (MH + 10) * [9.2R - 4.6C - 1.3]
dMut/dR = (1.8MH +1.8OH +364) * [9.2R - 4.6C - 1.3]
dSS/dR = (1.06MH + 104) * [9.2R - 4.6C - 1.3]
Plug in some decent level 70 numbers at the very high end, 500 MH, 250 OH, 30% crit
dBS/dR = 11095R - 4896
dHemo/dR = 4692R - 1367
dMut/dR = 15768.8R - 4593
dSS/dR = 5833R - 1699
TBC -> to be continued...
Labels: General