RiverSamson wrote: Wed Nov 27, 2024 9:23 am
Well, 15% is the last rank. Which would make it fairly negligable unless you had fair armor and wounds statistics.
All of the ranks are supposed to stack on top of one another, and thus it should be a 40% damage reduction to critical hits. Not 40%.
And the armor penetration should not be dropped to 0%, unless that is by game design.
What is being reduced by 40% is not the damage of attacks that critically hit, but the critical damage of those attacks.
A critical hit is an attack that adds to the damage you would take the critical damage. Critical damage, in turn, is a uniform distribution between 35% and 55% of the damage you would take. Some classes can have some other additive buffs to crit damage (e.g. Sorc/BW at max resources = 75% added crit dmg --> total crit dmg = 110% - 130%).
Now back to Trivial Blows. As I wrote above, what's being reduced is the crit damage, not the damage of the critical hit. The actual calculation for the damage you take when being critically hit while TB4 is active will look like:
dmg = non_crit_dmg * (1 + crit_dmg% * (1 - 0.40) ) = non_crit_dmg * (1 + crit_dmg% * 0.60)
and of course, not
dmg = non_crit_dmg * (1 + crit_dmg%) * 0.60
So, assuming that there were no mitigations from TOU/armor/resisits for the non_crit_dmg, the damage mitigated would be:
non_crit_dmg * crit_dmg% * 0.40
which for no crit damage bonuses (crit_dmg% ∈ [35% , 55%]) results in a mitigation of:
non_crit_dmg * 0.14 <= x <= non_crit_dmg * 0.22
The damage you end up taking will of course be (see dmg formula above):
non_crit_dmg * 1.21 <= x <= non_crit_dmg * 1.33
If you wanna further test it out, I'd suggest repeating your tests while having/wearing no armor/resists and having no TOU (ideally while being debuffed to 0) and seeing where the damage you take and mitigate from crits lies compared to the damage you take from the same ability when it doesn't crit.
If the enemy has no crit damage buffs, then the mitigation should be between 14% and 22% and the damage between 121% and 133%.
You can also verify that the ratio of dmg_mitigated/(dmg_taken - base dmg) is equal to 0.667 (=40/60)