Damage Resistance: Difference between revisions

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'''Damage Resistance''' refers to the Bullet, Melee, and 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.


Damage Resistance refers to the Bullet and Spirit Resist statistics which reduce incoming damage taken.
Most resistances stack diminishingly with each additional resistance source having reduced effect. Resistance Reduction is applied to the final resistance, and if stacked separately and diminishingly.


Bullet Resist reduces all weapon (such as bullets/melee) damage, while Spirit Resist reduces all spirit damage.
The Bullet Resistance and Spirit Resistance stats are also sometimes referred to as "Bullet Armor" and "Spirit Armor".


Resistances from [[Level|Power Increase]]s seems to act strangely and requires more research.
== Melee Resist ==
Melee Resist is a special case of Bullet Resist that is stacked diminishingly along with Bullet Resist to reduce all incoming melee damage. This includes all "melee" abilities such as [[Viscous#Abilities|Viscous]] Puddle Punch ability.


== Stacking Resistances ==
== Math ==
Resistances from multiple sources are multiplicative with each other.
Despite being presented in-game as +x% Bullet, Melee, or Spirit Resist, multiple sources of resist stack multiplicatively, not additively.  


<math>\mathit{Displayed Resist} = 1 - (1 - \mathit{Resistance 1}) * (1 - \mathit{Resistance 2}) * ... * (1 - \mathit{Resistance N})</math>
The formula for resist is: <math>BR_f = \left\lceil 1 - \prod_{i=1}^n (1 - BR_i) \right\rceil</math><br />
 
where:<br />
For example, multiple sources of Bullet Resist
<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:
* 60% Bullet Resist from Viscous' [[Viscous#(4)_Goo_Ball|Goo Ball]]  
* 60% Bullet Resist from Viscous' [[Viscous#(4)_Goo_Ball|Goo Ball]]  
* 40% Bullet Resist from the [[Colossus]] [[Items|Item]] results in:
* 40% Bullet Resist from the [[Colossus]] [[Items|Item]] results in:


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


==Resistance Reduction==
==Resistance Reduction==
Resistance Reduction refers to any negative amount of Bullet Resist, making the target take increased damage. Though, it isn't applied in the same way.
Resistance Reduction refers to any negative amount of Resist, making the target take increased damage.


Resistance Reduction is simply added (as negative numbers) from the otherwise final Resistance.
Resistance Reduction is calculated multiplicatively like resistance, but then simply subtracted from the resistance amount.


<math>\mathit{Displayed Resist} = 1 - (1 - \mathit{Resistance 1}) * (1 - \mathit{Resistance 2}) * ... * (1 - \mathit{Resistance N}) + \mathit{Resistance Reductions}</math>
<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>


For example, using Bullet Resists and Reductions:
For example, using Bullet Resists and Reductions:
* 60% Bullet Resist from Viscous' [[Viscous#(4)_Goo_Ball|Goo Ball]]
* 40% Bullet Resist from [[Colossus]]
* -5% Bullet Resist from [[Swift Striker]]
* -12% Bullet Resist from [[Bullet Resist Shredder]]


<math>1 - (1 - 0.6) * (1 - 0.4) + (-0.05 - 0.12) = 59% Bullet Resist</math>
* 70% Spirit Resist from Viscous' [[Viscous#(4) Goo Ball|Goo Ball]]
* 20% Spirit Resist from [[Spirit Armor]]
* -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>
 
The final Resistance can go negative, and this multiplies the damage taken of that type. For example:
 
* 30% resist= 70% of the damage from the weapon or ability.
* 0% resist = 100% of the damage from the weapon or ability.
* -30% resist = 130% of the damage from the weapon or ability.
 
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.
 
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
<math>0.1 + 1 - (1-0.0125)^{14} = 26.2%</math>


==Graphs==
==Graphs==
{{Construction}}
''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].
''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].


''Include graph of effective damage increase from using 15%, 30%, and 45% Resistance Reduction as a function of the target's original Damage Reduction.'' In the mean time, feel free to refer to this [https://www.desmos.com/calculator/zcyaumcpjr Desmos graph].
''Include graph of effective damage increase from using 15%, 30%, and 45% Resistance Reduction as a function of the target's original Damage Reduction.'' In the mean time, feel free to refer to this [https://www.desmos.com/calculator/u7dkpebmm7 Desmos graph].
 
== Sources of Damage Resistance ==
=== Bullet Resist ===
{{Item stat table|Bullet Resist}}
* {{ItemIcon|Monster Rounds}} increases Bullet Resist vs. NPCs by +30%.
* {{ItemIcon|Escalating Resilience}} increases Bullet Resist by 2% per [[stack]] per shot when hitting enemy heroes, maxing at 40% Bullet Resist.
 
=== Bullet Resist Reduction ===
{{Item stat table|Bullet Resist Reduction}}
 
=== Melee Resist ===
{{Item stat table|Melee Resist}}
 
=== Spirit Resist ===
{{Item stat table|Spirit Resist}}


== Sources of Bullet Resistance ==
=== Spirit Resist Reduction ===
{{Navbox|list1={{ItemBox|item_name = Monster Rounds}}{{ItemBox|item_name = Restorative Shot}}{{ItemBox|item_name = Berserker}}{{ItemBox|item_name = Swift Striker}}{{ItemBox|item_name = Escalating Resilience}}{{ItemBox|item_name = Point Blank}}{{ItemBox|item_name = Titanic Magazine}}{{ItemBox|item_name = Warp Stone}}|list2={{ItemBox|item_name = Bullet Armor}}{{ItemBox|item_name = Lifestrike}}{{ItemBox|item_name = Improved Bullet Armor}}{{ItemBox|item_name = Colossus}}{{ItemBox|item_name = Phantom Strike}}|list3={{ItemBox|item_name = Bullet Resist Shredder}}{{ItemBox|item_name = Echo Shard}}{{ItemBox|item_name = Refresher}}|title=[[Items]]|titlestyle=text-align:center;background-color:#ffefd7}}
{{Item stat table|Spirit Resist Reduction}}


== Sources of Spirit Resistance ==
{{Stat navbox}}
{{Navbox|list1={{ItemBox|item_name = Pristine Emblem}}{{ItemBox|item_name = Frenzy}}|list2={{ItemBox|item_name = Healing Booster}}{{ItemBox|item_name = Spirit Armor}}{{ItemBox|item_name = Restorative Locket}}{{ItemBox|item_name = Improved Spirit Armor}}{{ItemBox|item_name = Colossus}}{{ItemBox|item_name = Unstoppable}}|list3={{ItemBox|item_name = Mystic Reach}}
[[Category:Mechanics]]
{{ItemBox|item_name = Mystic Vulnerability}}
[[Category:Damage Calculation]]
{{ItemBox|item_name = Cold Front}}
{{ItemBox|item_name = Improved Reach}}
{{ItemBox|item_name = Escalating Exposure}}
{{ItemBox|item_name = Mystic Reverb}}
{{ItemBox|item_name = Refresher}}|title=[[Items]]|titlestyle=text-align:center;background-color:#ffefd7}}

Latest revision as of 19:59, 12 November 2024

Damage Resistance refers to the Bullet, Melee, and 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.

Most resistances stack diminishingly with each additional resistance source having reduced effect. Resistance Reduction is applied to the final resistance, and if stacked separately and diminishingly.

The Bullet Resistance and Spirit Resistance stats are also sometimes referred to as "Bullet Armor" and "Spirit Armor".

Melee Resist[edit | edit source]

Melee Resist is a special case of Bullet Resist that is stacked diminishingly along with Bullet Resist to reduce all incoming melee damage. This includes all "melee" abilities such as Viscous Puddle Punch ability.

Math[edit | edit source]

Despite being presented in-game as +x% Bullet, Melee, or Spirit Resist, multiple sources of resist stack multiplicatively, not additively.

The formula for resist is:
where:

For example, multiple sources of Bullet Resist:

Resistance Reduction[edit | edit source]

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

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

For example, using Bullet Resists and Reductions:

The final Resistance can go negative, and this multiplies the damage taken of that type. For example:

  • 30% resist= 70% of the damage from the weapon or ability.
  • 0% resist = 100% of the damage from the weapon or ability.
  • -30% resist = 130% of the damage from the weapon or ability.

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.

Even Resistance from Level#Power Increases is multiplicative. For example, Bebop's base Resistance is 0%, while he gains 1.25% Resist per Power Increase. After 14 Power Increases, Bebop's total resistance will be

Graphs[edit | edit source]

This page is under construction. To avoid edit conflicts, please consult the edit history and the talk page.

Include graph of effective health as a function of Damage Reduction. In the mean time, feel free to refer to this Desmos graph.

Include graph of effective damage increase from using 15%, 30%, and 45% Resistance Reduction as a function of the target's original Damage Reduction. In the mean time, feel free to refer to this Desmos graph.

Sources of Damage Resistance[edit | edit source]

Bullet Resist[edit | edit source]

List of items
NameSoulsCostCategoryStat change
Close Quarters500Weapon+5% Bullet Resist
Berserker1,250Weapon+9% Bullet Resist
Swift Striker1,250Weapon-5% Bullet Resist
Escalating Resilience3,000Weapon+2% Bullet Resist
Warp Stone3,000Weapon+30% Bullet Resist
Point Blank3,500Weapon+15% Bullet Resist
Bullet Armor1,250Vitality+26% Bullet Resist
Return Fire1,250Vitality+20% Bullet Resist
Lifestrike3,500Vitality+10% Bullet Resist
Improved Bullet Armor4,250Vitality+50% Bullet Resist
Colossus6,200Vitality+40% Bullet Resist
Siphon Bullets6,200Vitality+18% Bullet Resist
Unstoppable6,200Vitality+15% Bullet Resist
Mystic Reach500Spirit+7% Bullet Resist
Improved Reach3,500Spirit+13% Bullet Resist
Echo Shard6,200Spirit+16% Bullet Resist
Refresher6,200Spirit+16% Bullet Resist

Bullet Resist Reduction[edit | edit source]

List of items
NameSoulsCostCategoryStat change
Hunter's Aura3,000Weapon-9% Bullet Resist Reduction
Crippling Headshot6,200Weapon+24% Bullet Resist Reduction
Bullet Resist Shredder1,250Spirit-12% Bullet Resist Reduction
Withering Whip1,250Spirit-11% Bullet Resist Reduction

Melee Resist[edit | edit source]

List of items
NameSoulsCostCategoryStat change
Titanic Magazine3,500Weapon+25% Melee Resist
Restorative Locket1,250Vitality+25% Melee Resist
Bullet Resist Shredder1,250Spirit+15% Melee Resist

Spirit Resist[edit | edit source]

List of items
NameSoulsCostCategoryStat change
Pristine Emblem3,500Weapon+12% Spirit Resist
Titanic Magazine3,500Weapon+12% Spirit Resist
Silencer7,450Weapon+12% Spirit Resist
Healing Booster1,250Vitality+6% Spirit Resist
Restorative Locket1,250Vitality+10% Spirit Resist
Spirit Armor1,250Vitality+22% Spirit Resist
Improved Spirit Armor4,250Vitality+45% Spirit Resist
Colossus6,200Vitality+40% Spirit Resist
Phantom Strike6,200Vitality+15% Spirit Resist
Cold Front1,250Spirit+10% Spirit Resist
Mystic Vulnerability1,250Spirit+6% Spirit Resist
Ethereal Shift3,000Spirit+40% Spirit Resist
Mystic Reverb6,200Spirit+14% Spirit Resist
Refresher6,200Spirit+8% Spirit Resist
Escalating Exposure7,450Spirit+15% Spirit Resist

Spirit Resist Reduction[edit | edit source]

List of items
NameSoulsCostCategoryStat change
Crippling Headshot6,200Weapon+24% Spirit Resist Reduction
Spirit Strike500Spirit-12% Spirit Resist Reduction
Mystic Vulnerability1,250Spirit-12% Spirit Resist Reduction
Escalating Exposure7,450Spirit-12% Spirit Resist Reduction