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. | |||
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 | The Bullet Resistance and Spirit Resistance stats are also sometimes referred to as "Bullet Armor" and "Spirit Armor". | ||
== 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. | |||
== | == Math == | ||
Despite being presented in-game as +x% Bullet, Melee, or Spirit Resist, multiple sources of resist stack multiplicatively, not additively. | |||
<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 /> | |||
<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 | Resistance Reduction refers to any negative amount of Resist, making the target take increased damage. | ||
Resistance Reduction is simply | 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}) | <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: | ||
<math>1 - (1 - 0. | * 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/ | ''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}} | |||
== | === Spirit Resist Reduction === | ||
{{Item stat table|Spirit Resist Reduction}} | |||
{{Stat navbox}} | |||
[[Category:Mechanics]] | |||
[[Category:Damage Calculation]] | |||
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:
- 70% Spirit Resist from Viscous' 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
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]
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]
Name | Cost | Category | Stat change |
---|---|---|---|
Close Quarters | 500 | Weapon | +5% Bullet Resist |
Berserker | 1,250 | Weapon | +9% Bullet Resist |
Swift Striker | 1,250 | Weapon | -5% Bullet Resist |
Escalating Resilience | 3,000 | Weapon | +2% Bullet Resist |
Warp Stone | 3,000 | Weapon | +30% Bullet Resist |
Point Blank | 3,500 | Weapon | +15% Bullet Resist |
Bullet Armor | 1,250 | Vitality | +26% Bullet Resist |
Return Fire | 1,250 | Vitality | +20% Bullet Resist |
Lifestrike | 3,500 | Vitality | +10% Bullet Resist |
Improved Bullet Armor | 4,250 | Vitality | +50% Bullet Resist |
Colossus | 6,200 | Vitality | +40% Bullet Resist |
Siphon Bullets | 6,200 | Vitality | +18% Bullet Resist |
Unstoppable | 6,200 | Vitality | +15% Bullet Resist |
Mystic Reach | 500 | Spirit | +7% Bullet Resist |
Improved Reach | 3,500 | Spirit | +13% Bullet Resist |
Echo Shard | 6,200 | Spirit | +16% Bullet Resist |
Refresher | 6,200 | Spirit | +16% Bullet Resist |
- Monster Rounds increases Bullet Resist vs. NPCs by +30%.
- Escalating Resilience increases Bullet Resist by 2% per stack per shot when hitting enemy heroes, maxing at 40% Bullet Resist.
Bullet Resist Reduction[edit | edit source]
Name | Cost | Category | Stat change |
---|---|---|---|
Hunter's Aura | 3,000 | Weapon | -9% Bullet Resist Reduction |
Crippling Headshot | 6,200 | Weapon | +24% Bullet Resist Reduction |
Bullet Resist Shredder | 1,250 | Spirit | -12% Bullet Resist Reduction |
Withering Whip | 1,250 | Spirit | -11% Bullet Resist Reduction |
Melee Resist[edit | edit source]
Name | Cost | Category | Stat change |
---|---|---|---|
Titanic Magazine | 3,500 | Weapon | +25% Melee Resist |
Restorative Locket | 1,250 | Vitality | +25% Melee Resist |
Bullet Resist Shredder | 1,250 | Spirit | +15% Melee Resist |
Spirit Resist[edit | edit source]
Name | Cost | Category | Stat change |
---|---|---|---|
Pristine Emblem | 3,500 | Weapon | +12% Spirit Resist |
Titanic Magazine | 3,500 | Weapon | +12% Spirit Resist |
Silencer | 7,450 | Weapon | +12% Spirit Resist |
Healing Booster | 1,250 | Vitality | +6% Spirit Resist |
Restorative Locket | 1,250 | Vitality | +10% Spirit Resist |
Spirit Armor | 1,250 | Vitality | +22% Spirit Resist |
Improved Spirit Armor | 4,250 | Vitality | +45% Spirit Resist |
Colossus | 6,200 | Vitality | +40% Spirit Resist |
Phantom Strike | 6,200 | Vitality | +15% Spirit Resist |
Cold Front | 1,250 | Spirit | +10% Spirit Resist |
Mystic Vulnerability | 1,250 | Spirit | +6% Spirit Resist |
Ethereal Shift | 3,000 | Spirit | +40% Spirit Resist |
Mystic Reverb | 6,200 | Spirit | +14% Spirit Resist |
Refresher | 6,200 | Spirit | +8% Spirit Resist |
Escalating Exposure | 7,450 | Spirit | +15% Spirit Resist |
Spirit Resist Reduction[edit | edit source]
Name | Cost | Category | Stat change |
---|---|---|---|
Crippling Headshot | 6,200 | Weapon | +24% Spirit Resist Reduction |
Spirit Strike | 500 | Spirit | -12% Spirit Resist Reduction |
Mystic Vulnerability | 1,250 | Spirit | -12% Spirit Resist Reduction |
Escalating Exposure | 7,450 | Spirit | -12% Spirit Resist Reduction |
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