Info: Damage and Hitrate formula

[Alantin]

I searched today info about the Dmg and Hitrate formulas for TW-Rome2 and gathered the following.
It was quite hard to find, so I post it here - maybe it saves math enthusiats like me some time

Hitrate = 40% + MA - MD [Min-Hitrate = 15%; Max-Hitrate = 75%]
with MA: Melee Attack // MD: Melee Defence // BaseHitRate: 40%

Damage dealt when hit gets substracted from the units Health:
Dmg = { D_ap } + { [D_normal - RAND(Armor)], if > 0 }
with D_ap: armor piercing damage // D_normal: not armor piercing damage //
RAND(Armor): roll random number between 1 and Armor-Value (if number ≥ D_normal, no normal damage will be dealt)
with some math you can calculate the Average Damage per hit:
AvgDmg = { D_ap } + { 1/2 * (Damage^2 - Damage) / Armor } (only true for Armor ≥ Damage)

Missiles vs Shields:
Shields have a blockchance (small 10%; medium shields 35%; big shields 50%)
Shields work on front and left side of the unit (claims that it only works on front in Rome 2 is false)

some Sources with good information:
http://www.twcenter.net/forums/showt...ombat-Analysis
https://www.youtube.com/watch?v=W_Ih26KMiQc
[for DeI, but same underlying math] https://www.youtube.com/watch?v=T1-jFKGFnts

Edit: AvgDmg formula correction - now it's correct.