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Damage Formula - ToF
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Damage Formula

Explanation on how damage is calculated in Tower of Fantasy (WIP).

Datamined Damage Formula

This is the formula found in the game files by Afrodiy#9769 and Sova#0618, but it isn't fully understood.
"GMExecutionInfo": "Skill ID: {0}, Current Stat Conversion: {1}, Target's Current HP: {2}, Target's HP Left: {16}, Attacker: {18}, Target: {19}
Formula: Max (Base ATK {7} × Skill Ratio {3} + Fixed Skill Value {4}) ×0.1, Base ATK {7} × revised Skill Ratio {5} + revised Fixed Skill Value {6}), Max Sum ({8}) × Crit Damage Ratio {11} × True DEF Conversion {9} × Module Ratio {10} × (1 + Damage Fluctuation {12}) × Headshot Ratio {14} × Final Module Ratio {15} = {17}",

Adapted Damage Formula

This still stays questionable as this is a topic yet to be properly understood.
​​
Damage=BaseDamage×Crit×EnemyDefMult×DamageBonusDamage=BaseDamage×Crit×EnemyDefMult× DamageBonus
​
×(1+DamageFluctuation)×HeadshotMult×(1+DamageFluctuation)×HeadshotMult
​

Base Damage

​
BaseDamage=ATK×SkillPercent+FlatSkillBaseDamage = ATK × SkillPercent + FlatSkill
​
​
ATK=FlatATK×(1+ATKBonus)ATK = FlatATK × (1 + ATKBonus)
​
Formula Variable
Explanation
SkillPercent
The scaling percentage-based number of a specific attack.
FlatSkill
The scaling non-percentage-based number of a specific attack.
FlatATK
Sum of all non-percentage-based attack from character, suppressor, weapons, equipment, matrices.
ATKBonus
Sum off all percentage-based attack from buffs and other sources.
DamageBonus
All percentage-based damage buffs multiplied to each other.

Critical Hits

​
Crit={1+CritDamage1Crit =\begin{cases}1 + CritDamage\\1\end{cases}
first option if Critical Hit, second otherwise
​
AverageCrit=1+TotalCritRate×CritDamageAverageCrit = 1 + TotalCritRate × CritDamage
​

​Crit Rate

​
TotalCritRate=FlatCritCritLevelMultiplier+CritRateTotalCritRate = \frac{FlatCrit}{CritLevelMultiplier} + CritRate
​
​
CritLevelMultiplier=a×Level2+b×Level+cCritLevelMultiplier = a×Level^{2}+b×Level+c
​
Level Range
a
b
c
1 - 9
0
150
0
10 - 40
-4
408
-2078
41 - 100
-0.163
285
-3215
Formula Variable
Explanation
TotalCritRate
The total Crit Rate from all possible sources.
FlatCrit
Sum of non-percentage-based Crit from suppressor, weapons, equipment, matrices.
CritRate
Percentage-based Crit Rate already present before Flat Crit conversion.

Enemy Defense Multiplier

Complete formula is currently unknown.
​
DefLevelMultiplier=a×Level2+b×Level+cDefLevelMultiplier = a×Level^{2}+b×Level+c
​
Text
a
b
c
1 - 9
0
75
0
10 - 40
-2
204
-1039
41 - 100
-0.0815
142.5
-1607.5

Damage Fluctuation

Random multiplier which ranges between -0.05 and 0.05. This changes the damage slightly resulting in seeing minor differences in damage numbers despite having the same stats.

Headshot Multiplier

Currently unknown.

Credits

Vladone ツ#9281, Carrier5by5#8394, Afrodiy#9769 and Sova#0618.
Last modified 5mo ago