Damage Resistance: Difference between revisions

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Resistances from [[Level|Power Increase]]s seems to act strangely and requires more research.
Resistances from [[Level|Power Increase]]s seems to act strangely and requires more research.


== Stacking Resistances ==
== Notes ==
Resistances from multiple sources are multiplicative with each other.
Resistances can go negative, and this multiplies the damage taken of that type.
 
30% resist= 70% of the damage from the weapon or ability.
 
0% resist = 100% of the damage from the weapon or ability.


<math>\mathit{Displayed Resist} = 1 - (1 - \mathit{Resistance 1}) * (1 - \mathit{Resistance 2}) * ... * (1 - \mathit{Resistance N})</math>
-30% resist = 130% of the damage from the weapon or ability.


For example, multiple sources of Bullet Resist
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.


== Math ==
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/>
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==
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<math>[1 - (1 - 0.7) * (1 - 0.2)] -[1 - (1-0.12)*(1-0.12)*(1-0.24)] =  \mathit 35% Spirit Resist</math>
<math>[1 - (1 - 0.7) * (1 - 0.2)] -[1 - (1-0.12)*(1-0.12)*(1-0.24)] =  \mathit 35% Spirit Resist</math>
==Notes==
Resistances can go negative, and this multiplies the damage taken of that type.
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.


==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].



Revision as of 19:42, 13 October 2024

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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.

Resistances from Power Increases seems to act strangely and requires more research.

Notes

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

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.

Math

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

The formula for bullet resist is:
where:

For example, multiple sources of Bullet Resist:

Resistance Reduction

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:

Graphs

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

Bullet Resist

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
  • 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

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

Spirit Resist

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

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