Damage Resistance: Difference between revisions

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~~{{Stub}}~~

'''Damage Resistance''' refers to the [[Weapon Damage|Bullet]], [[Melee Attack|Melee]], and [[Spirit Power|Spirit]] Resist statistics which reduce incoming damage taken. Bullet Resist reduces all weapon and melee damage, Melee Resist reduces only melee damage, while Spirit Resist reduces all spirit damage. [[Unit]]s have a unique "Damage Resistance" stat that is applied to all sources of damage, including [[Trooper]]s.

'''Damage Resistance''' refers to the Bullet and Spirit Resist statistics which reduce incoming damage taken.

~~Bullet Resist reduces all weapon (such as bullets/melee) damage, while Spirit Resist reduces all spirit damage~~.

Most resistances stack multiplicatively; they are not added together. Sources of Resistance Reduction are multiplied together separately first. The total reduction is then subtracted from the total resistance. This has the consequence of resistance reduction being more effective on targets with higher resistance.

{{#ev:youtube|kOg7Q-OLwwQ|360|description=Video explaining Damage Resistance}}

== ~~Notes~~ ==

== Resistance types ==

~~Resistances can go negative~~, and ~~this multiplies~~ the damage ~~taken~~ of that ~~type~~.

=== Bullet Resist ===

Bullet Resist reduces all incoming [[Weapon Damage]], including from abilities. [[Troopers]], [[Guardians]], [[Neutrals]] and the [[Mid-Boss]] deal weapon damage.

List of abilities that deal weapon damage:

=== Spirit Resist ===

Spirit Resist reduces all incoming [[Spirit Damage]]. Most abilities and items deal spirit damage, as well as [[Walkers]], [[Shrines]], and the [[Patron]].

~~30% resist~~= ~~70% of the damage from the weapon or ability.~~

=== Melee Resist ===

~~0% resist = 100% of the damage~~ from ~~the weapon or ability~~.

Melee Resist reduces all incoming [[Melee Damage]], including from abilities.

-~~30% resist = 130% of the damage from the weapon or ability~~.

In addition to Melee Resist gained from items, Bullet Resist affects all Weapon Damage, granting another source of resistance against Melee Damage. The only exception is {{HeroIcon|Venator}}'s innate Spirit-scaled Bullet Resist, although this is likely a bug.

~~Items like [[Headshot Booster]] grant a flat added bullet~~ damage, ~~this bonus damage is not multiplied by weapon damage but is subject to resistance reduction/increase in damage.~~

List of abilities that deal melee damage:

~~Even Resistance from [[Level#Power Increases]]~~ is ~~multiplicative~~. ~~For example,~~ [[~~Bebop~~]]~~'s base Resistance is {{#invoke:HeroData|get_hero_var|Bebop|BulletArmorDamageReduction}}%, while he gains 1.25% Resist per Power Increase. After 14 Power Increases~~, ~~Bebop's total resistance will be~~

=== Crit Reduction ===

~~<math>0.1 + 1 - (1-0.0125)^{14} = 26~~.~~2%</math><br>~~

Crit Reduction is a stat that reduces the critical damage (headshots) received by the hero. Not to be confused with [[Weapon Damage#Crit Multiplier|Crit Bonus Scale]], a stat that reduces the critical damage dealt by the hero to other targets.

~~== Math ==~~

Crit Reduction is an innate stat to balance heroes with large head hitboxes, and cannot be modified by items or abilities.

~~Despite being presented in-game as +X% Bullet Resist~~, ~~multiple sources of bullet resist stack multiplicatively, not additively~~.

~~The formula for bullet resist is: <math>BR_f~~ = ~~\left\lceil 1 - \prod_{i=1}^n (1 - BR_i) \right\rceil</math><br/>~~

== Starting Damage Resistance ==

~~where:<br/>~~

The following [[Hero|Heroes]] either have starting Damage Resistance values or gain resistance with [[Boon|Boons]] or [[Spirit Power]]. Boon and Spirit scaling resistances stack additively.

~~<math>~~

~~\begin{align}~~

~~BR_f &~~= ~~\text{final bullet resist,} \\~~

~~n &~~= ~~\text{number of bullet resist sources,} \\~~

~~BR_n &~~= ~~\text{bullet resist value} \\~~

~~\end{align}~~

~~</math>~~

~~For example, multiple sources of Bullet Resist~~:

Note: Negative values indicate that the hero receives increased damage.

* 60% Bullet Resist from Viscous' [[Viscous#(4)_Goo_Ball|Goo Ball]]

* 40% Bullet Resist from the ~~[[Colossus]] [[Items|Item]] results in:~~

~~<math>1 - (1 - 0.6) * (1 - 0.4) = 76% \text~~{ ~~Bullet Resist~~}~~</math>~~

==~~Resistance Reduction~~==

== Calculation ==

~~Resistance Reduction refers to any negative amount~~ of ~~Resist~~, ~~making the target take increased damage~~.

While items often display resistance as a flat percentage (e.g., +20% Resist), multiple sources of resistance do not simply add together. Instead, they stack '''multiplicatively'''.

Resistance ~~Reduction is calculated multiplicatively like~~ resistance, ~~but then simply subtracted from~~ the ~~resistance amount.~~

=== Calculating Resistance ===

To find your total resistance, use the following formula:

<math>\~~mathit~~{~~Displayed~~ Resist} = [1 - (1 - ~~\mathit{Resistance 1}~~) * (1 - \mathit{Resistance 2}) * ... * (1 - ~~\mathit{Resistance N}~~)~~] - [1 - (1 -~~ \~~mathit{ResReduct.1}) * (1 - \mathit{ResReduct.2})* ... * (1 - \mathit{ResReduct.N})]~~</math>

<math>\text{Total Resist} = 1 - (1 - R_1) \times (1 - R_2) \dots</math>

~~For example~~, ~~using Bullet Resists~~ and ~~Reductions~~:

'''Example:'''

If you have two sources of resistance, one providing '''40%''' and another providing '''20%''':

# Convert percentages to decimals: 0.40 and 0.20.

# Subtract from 1: (1 - 0.40) = '''0.60''' and (1 - 0.20) = '''0.80'''.

# Multiply the remainders: 0.60 × 0.80 = '''0.48'''.

# Subtract from 1: 1 - 0.48 = '''0.52'''.

# Your Total Resist is '''52%'''.

* 70% Spirit Resist from Viscous' ~~[[Viscous#~~(4) ~~Goo Ball|Goo Ball]]~~

=== Calculating Resistance Reduction ===

* 20% Spirit Resist from ~~[[Spirit Armor]]~~

'''Resistance Reduction''' (often called "shred") acts as a counter to resistance. It is calculated separately using the same multiplicative formula, and then subtracted from the target's resistance.

* -12% Spirit Resist from [[Spirit Strike]]

* -12% Spirit Resist from [[Mystic Vulnerability]]

* -24% Spirit Resist from [[Crippling Headshot]]

<math>[1 - ~~(1 - 0.7) * (1 - 0.2)] -[1 - (1-0.12)*(1-0.12)*(1-0.24)] =~~ \~~mathit 35% Spirit Resist~~</math>

<math>\text{Final Resist} = \text{Total Resistance} - \text{Total Reduction}</math>

==~~Graphs~~==

'''Example:'''

A target has '''52%''' Total Resistance (as calculated above). You attack them with two sources of Reduction: one providing '''25%''' and another providing '''20%'''.

'''Step 1: Calculate Total Reduction'''

<math>1 - (1 - 0.25) \times (1 - 0.20) = 0.40 \rightarrow \mathbf{40\%}</math>

'''Step 2: Subtract Reduction from Resistance'''

<math>52\% - 40\% = \mathbf{12\%}</math>

The target has a final effective Resist of only '''12%'''.

=== Negative Resistance ===

If the Total Reduction is higher than the Total Resistance, the final value will be negative. This acts as a damage amplifier.

* '''30% Resist:''' You take '''70%''' of incoming damage.

* '''0% Resist:''' You take '''100%''' of incoming damage (True Damage).

* '''-30% Resist:''' You take '''130%''' of incoming damage.

== Effective Health ==

[[File:Resistance-graph.png|thumb|A graph showing how despite the resistance percentage not growing additively, it scales the player's effective health additively.]]

''Include graph of effective health as a function of Damage Reduction.'' In the mean time, feel free to refer to this [https://www.desmos.com/calculator/97vhqmutyz Desmos graph].

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=== Bullet Resist ===

* {{ItemIcon|Monster Rounds}} increases Bullet Resist vs. NPCs by +~~30%~~.

* {{ItemIcon|Monster Rounds}} increases Bullet Resist vs. NPCs by +{{#invoke:ItemData|get_prop|Monster Rounds|NonPlayerBulletResist}}.

* {{ItemIcon|Escalating Resilience}} increases Bullet Resist by 2% per stack per shot when hitting enemy heroes, maxing at ~~40%~~ Bullet Resist.

* {{ItemIcon|Escalating Resilience}} increases Bullet Resist by {{#invoke:ItemData|get_prop|Escalating Resilience|BulletResistPerStack}} per [[stack]] per shot when hitting enemy heroes, maxing at {{#invoke:ItemData|get_prop|Escalating Resilience|MaxArmorStacks}} Bullet Resist.

=== Bullet Resist Reduction ===

=== Melee Resist ===

=== Spirit Resist ===

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* {{ItemIcon|Spirit Rend}} reduces {{#invoke:ItemData|get_prop|Spirit Rend|TechArmorDamageReduction}} spirit resist on bullet hit from its component {{ItemIcon|Spirit Shredder Bullets}}, as well as an additional {{#invoke:ItemData|get_prop|Spirit Rend|MagicResistReduction}} spirit resist reduction per stack on headshots, up to a max of 4 stacks (-33% spirit resist total).

~~[[Category:Mechanics]]~~

[[Category:Damage Calculation]]

Damage Resistance: Difference between revisionsGive feedback

Gammaton32 (talk | contribs)

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-{{Stub}}
+'''Damage Resistance''' refers to the [[Weapon Damage|Bullet]], [[Melee Attack|Melee]], and [[Spirit Power|Spirit]] Resist statistics which reduce incoming damage taken. Bullet Resist reduces all weapon and melee damage, Melee Resist reduces only melee damage, while Spirit Resist reduces all spirit damage. [[Unit]]s have a unique "Damage Resistance" stat that is applied to all sources of damage, including [[Trooper]]s.
-'''Damage Resistance''' refers to the Bullet and Spirit Resist statistics which reduce incoming damage taken.
-Bullet Resist reduces all weapon (such as bullets/melee) damage, while Spirit Resist reduces all spirit damage.
+Most resistances stack multiplicatively; they are not added together. Sources of Resistance Reduction are multiplied together separately first. The total reduction is then subtracted from the total resistance. This has the consequence of resistance reduction being more effective on targets with higher resistance.
+{{#ev:youtube|kOg7Q-OLwwQ|360|description=Video explaining Damage Resistance}}
-== Notes ==
+== Resistance types ==
-Resistances can go negative, and this multiplies the damage taken of that type.
+=== Bullet Resist ===
+Bullet Resist reduces all incoming [[Weapon Damage]], including from abilities. [[Troopers]], [[Guardians]], [[Neutrals]] and the [[Mid-Boss]] deal weapon damage.
+List of abilities that deal weapon damage:
+{{AbilityTable|weapondamage}}
+=== Spirit Resist ===
+Spirit Resist reduces all incoming [[Spirit Damage]]. Most abilities and items deal spirit damage, as well as [[Walkers]], [[Shrines]], and the [[Patron]].
-% resist= 70% of the damage from the weapon or ability.
+=== Melee Resist ===
-% resist = 100% of the damage from the weapon or ability.
+Melee Resist reduces all incoming [[Melee Damage]], including from abilities.
--30% resist = 130% of the damage from the weapon or ability.
+In addition to Melee Resist gained from items, Bullet Resist affects all Weapon Damage, granting another source of resistance against Melee Damage. The only exception is {{HeroIcon|Venator}}'s innate Spirit-scaled Bullet Resist, although this is likely a bug.
-Items like [[Headshot Booster]] grant a flat added bullet damage, this bonus damage is not multiplied by weapon damage but is subject to resistance reduction/increase in damage.
+List of abilities that deal melee damage:
+{{AbilityTable|Melee|hide=Light Melee Scaling,Notes}}
-Even Resistance from [[Level#Power Increases]] is multiplicative. For example, [[Bebop]]'s base Resistance is {{#invoke:HeroData|get_hero_var|Bebop|BulletArmorDamageReduction}}%, while he gains 1.25% Resist per Power Increase. After 14 Power Increases, Bebop's total resistance will be
+=== Crit Reduction ===
-<math>0.1 + 1 - (1-0.0125)^{14} = 26.2%</math><br>
+Crit Reduction is a stat that reduces the critical damage (headshots) received by the hero. Not to be confused with [[Weapon Damage#Crit Multiplier|Crit Bonus Scale]], a stat that reduces the critical damage dealt by the hero to other targets.
-== Math ==
+Crit Reduction is an innate stat to balance heroes with large head hitboxes, and cannot be modified by items or abilities.
-Despite being presented in-game as +X% Bullet Resist, multiple sources of bullet resist stack multiplicatively, not additively.
-The formula for bullet resist is: <math>BR_f = \left\lceil 1 - \prod_{i=1}^n (1 - BR_i) \right\rceil</math><br/>
+== Starting Damage Resistance ==
-where:<br/>
+The following [[Hero|Heroes]] either have starting Damage Resistance values or gain resistance with [[Boon|Boons]] or [[Spirit Power]]. Boon and Spirit scaling resistances stack additively.
-<math>
-\begin{align}
-  BR_f &= \text{final bullet resist,} \\
-  n &= \text{number of bullet resist sources,} \\
-  BR_n &= \text{bullet resist value} \\
-\end{align}
-</math>
-For example, multiple sources of Bullet Resist:
+Note: Negative values indicate that the hero receives increased damage.
-* 60% Bullet Resist from Viscous' [[Viscous#(4)_Goo_Ball|Goo Ball]]
-* 40% Bullet Resist from the [[Colossus]] [[Items|Item]] results in:
-<math>1 - (1 - 0.6) * (1 - 0.4) = 76% \text{ Bullet Resist}</math>
+{{#invoke:HeroDataArrays|heroDamageResistTable}}
-==Resistance Reduction==
+== Calculation ==
-Resistance Reduction refers to any negative amount of Resist, making the target take increased damage.
+While items often display resistance as a flat percentage (e.g., +20% Resist), multiple sources of resistance do not simply add together. Instead, they stack '''multiplicatively'''.
-Resistance Reduction is calculated multiplicatively like resistance, but then simply subtracted from the resistance amount.
+=== Calculating Resistance ===
+To find your total resistance, use the following formula:
-<math>\mathit{Displayed Resist} = [1 - (1 - \mathit{Resistance 1}) * (1 - \mathit{Resistance 2}) * ... * (1 - \mathit{Resistance N})] - [1 - (1 - \mathit{ResReduct.1}) * (1 - \mathit{ResReduct.2})* ... * (1 - \mathit{ResReduct.N})]</math>
+<math>\text{Total Resist} = 1 - (1 - R_1) \times (1 - R_2) \dots</math>
-For example, using Bullet Resists and Reductions:
+'''Example:'''
+If you have two sources of resistance, one providing '''40%''' and another providing '''20%''':
+# Convert percentages to decimals: 0.40 and 0.20.
+# Subtract from 1: (1 - 0.40) = '''0.60''' and (1 - 0.20) = '''0.80'''.
+# Multiply the remainders: 0.60 × 0.80 = '''0.48'''.
+# Subtract from 1: 1 - 0.48 = '''0.52'''.
+# Your Total Resist is '''52%'''.
-* 70% Spirit Resist from Viscous' [[Viscous#(4) Goo Ball|Goo Ball]]
+=== Calculating Resistance Reduction ===
-* 20% Spirit Resist from [[Spirit Armor]]
+'''Resistance Reduction''' (often called "shred") acts as a counter to resistance. It is calculated separately using the same multiplicative formula, and then subtracted from the target's resistance.
-* -12% Spirit Resist from [[Spirit Strike]]
-* -12% Spirit Resist from [[Mystic Vulnerability]]
-* -24% Spirit Resist from [[Crippling Headshot]]
-<math>[1 - (1 - 0.7) * (1 - 0.2)] -[1 - (1-0.12)*(1-0.12)*(1-0.24)] =  \mathit 35% Spirit Resist</math>
+<math>\text{Final Resist} = \text{Total Resistance} - \text{Total Reduction}</math>
-==Graphs==
+'''Example:'''
+A target has '''52%''' Total Resistance (as calculated above). You attack them with two sources of Reduction: one providing '''25%''' and another providing '''20%'''.
+'''Step 1: Calculate Total Reduction'''
+<math>1 - (1 - 0.25) \times (1 - 0.20) = 0.40 \rightarrow \mathbf{40\%}</math>
+'''Step 2: Subtract Reduction from Resistance'''
+<math>52\% - 40\% = \mathbf{12\%}</math>
+The target has a final effective Resist of only '''12%'''.
+=== Negative Resistance ===
+If the Total Reduction is higher than the Total Resistance, the final value will be negative. This acts as a damage amplifier.
+* '''30% Resist:''' You take '''70%''' of incoming damage.
+* '''0% Resist:''' You take '''100%''' of incoming damage (True Damage).
+* '''-30% Resist:''' You take '''130%''' of incoming damage.
+== Effective Health ==
 {{Construction}}
+[[File:Resistance-graph.png|thumb|A graph showing how despite the resistance percentage not growing additively, it scales the player's effective health additively.]]
 ''Include graph of effective health as a function of Damage Reduction.'' In the mean time, feel free to refer to this [https://www.desmos.com/calculator/97vhqmutyz Desmos graph].
@@ Line 63: / Line 84: @@
 === Bullet Resist ===
 {{Item stat table|Bullet Resist}}
-* {{ItemIcon|Monster Rounds}} increases Bullet Resist vs. NPCs by +30%.
+* {{ItemIcon|Monster Rounds}} increases Bullet Resist vs. NPCs by +{{#invoke:ItemData|get_prop|Monster Rounds|NonPlayerBulletResist}}.
-* {{ItemIcon|Escalating Resilience}} increases Bullet Resist by 2% per stack per shot when hitting enemy heroes, maxing at 40% Bullet Resist.
+* {{ItemIcon|Escalating Resilience}} increases Bullet Resist by {{#invoke:ItemData|get_prop|Escalating Resilience|BulletResistPerStack}} per [[stack]] per shot when hitting enemy heroes, maxing at {{#invoke:ItemData|get_prop|Escalating Resilience|MaxArmorStacks}} Bullet Resist.
 === Bullet Resist Reduction ===
 {{Item stat table|Bullet Resist Reduction}}
+=== Melee Resist ===
+{{Item stat table|Melee Resist}}
 === Spirit Resist ===
@@ Line 75: / Line 99: @@
 {{Item stat table|Spirit Resist Reduction}}
+* {{ItemIcon|Spirit Rend}} reduces {{#invoke:ItemData|get_prop|Spirit Rend|TechArmorDamageReduction}} spirit resist on bullet hit from its component {{ItemIcon|Spirit Shredder Bullets}}, as well as an additional {{#invoke:ItemData|get_prop|Spirit Rend|MagicResistReduction}} spirit resist reduction per stack on headshots, up to a max of 4 stacks (-33% spirit resist total).
 {{Stat navbox}}
-[[Category:Mechanics]]
 [[Category:Damage Calculation]]