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.

​​$Damage=BaseDamage×Crit×EnemyDefMult× DamageBonus$​$×(1+DamageFluctuation)×HeadshotMult$​

Base Damage

​$BaseDamage = ATK × SkillPercent + FlatSkill$​

​$ATK = FlatATK × (1 + ATKBonus)$​

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

​$Crit =\begin{cases}1 + CritDamage\\1\end{cases}$ first option if Critical Hit, second otherwise

$AverageCrit = 1 + TotalCritRate × CritDamage$

​Crit Rate

​$TotalCritRate = \frac{FlatCrit}{CritLevelMultiplier} + CritRate$​

​$CritLevelMultiplier = a×Level^{2}+b×Level+c$​

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.

​$DefLevelMultiplier = a×Level^{2}+b×Level+c$

	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.