Zero Damage Formula plus Actual Testing Results

Hi all,

I've frequently visited Southperry for damage formula questions and I have learnt quite a lot (i.e % boss stacks with % dmg). Now its time for me to give back to the community through my own testing of the formulas (some of which is already known and can be found by searching this forum). However, I thought it'll be good to consolidate it here for people building their own damage formulas.

Damage Range
The results are as follows:

• Always round down after each calculation
  
• Base mastery is 20%. Final mastery after mastery is 90%.
  
• Maple Warrior - applies only to base stat
  
• % stat applies to all equipment stats. % stat does not affect Card Set and Inner Abilities
  
• Alpha & Beta Weapon Multiplier is 1.34 and 1.49 respectively
  
• Base Range formula is (Str x 4 + Dex) x (WA x (1 + %atk)) * Weapon Multiplier
  
• Displayed Range is Base Range x (1+ % Dmg) [tested only for skill/link skill % dmg as I don't have % dmg on potential]
  

Actual Damage
Tested on snails with normal attack. 103 crits and 32 non-crits.

Parameters:

• PDR - 10%
  
• Base Range - 259,477
  
• Displayed Range - 363,267
  
• % Dmg +40%
  
• % Min Crit - +75%
  
• % Max Crit - +115%
  
• % Def Ignore (multiplicative) - 70%
  

	Calculated Damage	Actual Observed Damage
Min Dmg	318,589	319k
Max Dmg	353,988	351k
Avg Dmg	336,289	336k
Min Crit Dmg	557,531	561k
Max Crit Dmg	761,075	732k
Avg Crit Dmg	659,303	650k

Actual Boss Damage
Tested on Lady Boss with normal attack. 59 crits and 38 non crits.

Parameters:

• PDR - 25%
  
• Base Range - 259,477
  
• Displayed Range - 363,267
  
• % Dmg +40%
  
• % Boss Dmg +266%
  
• % Min Crit +75%
  
• % Max Crit +115%
  
• % Def Ignore (multiplicative) - 74%
  

	Calculated Damage	Actual Observed Damage
Min Dmg	887,579	885k <-- only saw 1 number fall out of range
Max Dmg	986,199	980k
Avg Dmg	936,889	933k
Min Crit Dmg	1,553,263	1,556k
Max Crit Dmg	2,120,328	2,056k
Avg Crit Dmg	1,836,796	1,807k

Re-tested on Bodyguard A with normal attack due to out-of-range observation. Decent Sharp Eye (-15% max crit) and MW off this time. 55 crits and 46 non crits.
Parameters:

• PDR - 25%
  
• Base Range - 237,340
  
• Displayed Range - 332,276
  
• % Dmg +40%
  
• % Boss Dmg +266%
  
• % Min Crit +75%
  
• % Max Crit +100%
  
• % Def Ignore (multiplicative) - 74%
  

	Calculated Damage	Actual Observed Damage
Min Dmg	811,857	810k <-out of range again
Max Dmg	902,063	897k
Avg Dmg	856,960	853k
Min Crit Dmg	1,420,749	1,444k
Max Crit Dmg	1,804,126	1,724k
Avg Crit Dmg	1,612,438	1,593k

Actual Damage Formula
The results are as follows:

• Actual Damage = Base Damage * (skill %) * (1 + %boss + %dmg) * [1- (PDR*(1-%def ignored)]
  
• Result of testing relatively close to calculated damage, with non-crit dmg falling out of calculated range. Could there be another monster stat reducing dmg slightly?
  
• Apply mastery for minimum damage
  
• Apply crit % accordingly
  
• This meant that %boss and %dmg are indeed additive
  

*note: I found that there is 3% def ignored unaccounted for by skills, cards and equipment. Anyone know if Zero has a base def ignore of 3%? Solved. Its profession bonus.