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Resistance: Bottom line up front: first mention how it's shown in game and what that basically means, before going into details in subsections
 
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{{Languages}}
{{Languages}}
[[File:player_attacked_by_biters_small.png|thumb|300px|right|Red flashing while taking damage.]]Taking '''damage''' is the effect of lowering the health of the [[player]], [[enemies]] or other entities.
== Overview ==
In Factorio, entities have health, can die/be destroyed, and have resistances. ''Damage'' is defined as the concept of lowering an entity's health by using an attack, such as a gun firing at it, or a biter chewing on it. An entity's resistances will define exactly how much damage the entity will take off of an arbitrary attack.
The player's maximum health is 250 (without [[energy shield]]s), and this limit can be increased through the [[Health_(research)|Health]]{{SA}} technology. Other entities' health values are listed in their individual entries.


== Achievements ==
== Achievements ==
{{Main|Achievements}}
The concept of damage is directly connected to the following achievements:
The concept of damage is directly connected to the following achievements:
; Golem
{{Achievement|run-forrest-run}}
: Take 500 damage in one hit and survive.
{{Achievement|pyromaniac}}
; Pyromaniac
{{Achievement|steamrolled}}
: Destroy 10k trees with fire.
{{Achievement|golem}}
; Run forrest run
{{Achievement|watch-your-step}}
: Destroy 100 trees by impact.
; Steamrolled
: Destroy 10 spawners by impact.


== Damage Types ==
== Damage types ==
{|class="wikitable"
{|class="wikitable"
|-
|-
! Damage type !! Used by
! Damage type !! Used by
|-
|-
| Physical || Bullets ([[Regular magazine|regular]]/[[Piercing rounds magazine|piercing]]), shotgun ([[Shotgun shells|regular]]/[[Piercing shotgun shells|piercing]]), [[Enemies#Biters|biters]], axe ([[Iron axe|iron]]/[[Steel axe|steel]]), collision (of [[Diesel locomotive|train]]/[[car]])
| Physical || {{Icon|Firearm magazine}}{{Icon|piercing rounds magazine}}{{Icon|uranium rounds magazine}}Bullets, {{Icon|shotgun shells}}{{Icon|Piercing shotgun shells}}shotgun shells, {{IconLink|railgun ammo||space-age=yes}}, {{IconLink|defender capsule}}
[[Enemies#Biters|Biters]] and [[Enemies#Wrigglers|wriggler pentapods]] {{SA}}
|-
| Physical and explosion || {{Icon|cannon shell}}{{Icon|explosive cannon shell}}{{Icon|uranium cannon shell}}{{Icon|explosive uranium cannon shell}}Cannon shells, {{IconLink|artillery shell}}
|-
| Impact || Collision (of [[Locomotive|train]]/[[car]]/[[tank]])
|-
|-
| Fire || [[Flamethrower]]
| Fire || {{IconLink|Flamethrower ammo}}, {{IconLink|flamethrower turret}}
|-
|-
| Acid || [[Enemies#Worms|Worm Turrets]], [[Enemies#Spitters|Spitters]]
| Acid || [[Enemies#Spitters|Spitters]], [[Enemies#Worms|worms]], and [[Enemies#Stompers|stomper pentapods]] {{SA}}
|-
|-
| Poison || [[Poison capsule]]
| Poison || {{IconLink|Poison capsule}}
[[Enemies#Wrigglers|Wriggler pentapods]] {{SA}}
|-
|-
| Explosion || [[Rocket|Rockets]], [[Explosive rocket|Explosive Rockets]]
| Explosion || {{Icon|Rocket}}{{Icon|explosive rocket}}{{Icon|atomic bomb}}Rockets, {{Icon|Grenade}}{{Icon|cluster grenade}}grenades, {{IconLink|land mine}}
[[Enemies#Strafers|Strafer pentapods]] {{SA}}
|-
|-
| Laser || [[Turret#Laser Turrets|Laser turrets]], [[Distractor capsule|distraction]]/[[Destroyer capsule|destroyer robots]], [[personal laser defense]]
| Laser || {{IconLink|Laser turret}}, {{IconLink|distractor capsule}}, {{IconLink|personal laser defense}}
|-
| Electric || {{IconLink|Discharge defense}}, {{IconLink|destroyer capsule}}, {{IconLink|tesla ammo||space-age=yes}}, {{IconLink|tesla turret||space-age=yes}}
|}
|}
=== Piercing power ===
Piercing power is present with [[tank]] ammunition. It determines how much HP of enemies can a projectile damage before it is no longer able to travel further. To penetrate an enemy, the enemy has to be killed by the projectile, and the damage dealt for the kill must be less than current piercing power.[https://forums.factorio.com/viewtopic.php?f=5&t=30917] The damage dealt also decreases piercing power. For example, shooting medium biters with 75 health with a cannon shell of 300 piercing power means that the shell will pierce through 4 medium biters, killing them, and still destroy/damage one more target.
== Resistance ==
== Resistance ==
Resistance has two aspects:
Resistances to specific damage types can be written in two ways:
=== Percentual resistance ===
 
Is applied first and will just reduce the damage by the specified amount of percent. If the percentage is 100%, the entity is immune to the damage.
* A percentage, such as: "Physical: 10%". The incoming damage of this type is simply reduced by this percentage.
=== Decrease resistance ===
* A flat decrease, followed by the percentage, such as: "Physical: 25/10%". This means that incoming damage is reduced by 25 points first, before reducing it by 10%.
It decreases the damage by specified number as long as the result damage wouldn't be less than zero.
 
When the result damage would get less than 0, the extra resistance is used as denominator in the fraction of damage that is going to be dealt
Shooting at an object with a physical resistance of "25/10%" has nearly no effect when the bullets inflict less than 25 damage points each. If each bullet does 45 damage points, then the resistance of 25 is subtracted first, and the remaining 20 damage points are reduced by 10%, resulting in 18 damage points being imparted on the target object.
=== Formulas ===
 
==== Decrease < Damage ====
The following two subsections explain the two resistance calculations in detail.
Result damage = (Damage - Decrease) * (1 - Percentage)
 
==== Decrease >= Damage ====
=== Decrease, or "flat" resistance ===
Result damage = 1 / (2 + Decrease - Damage) * (1 - Percentage)
Decrease resistance decreases the damage by specified number as long as the resulting damage wouldn't be less than 1. If the result damage would be less than 1, an alternate formula is used.
Let R denote the flat resistance value, D the incoming damage, and M the modified damage (that is, the damage after accounting for flat resistance). Then
 
if R+1<D
 
<code>M=D-R</code>
 
otherwise if D>1
 
<code>M=1/(R-D+2)</code>
 
otherwise
 
<code>M=1/(R+1)</code>.
 
If flat resistance matches or exceeds the raw damage, then modified damage is asymptotic towards 0, as shown by following example table:


{| class="wikitable"
{| class="wikitable"
|-
|-
! Damage !! Resistance !! Result damage (0% damage loss)
! Damage !! Flat Resistance !! Modified damage (with 0% resistance)
|-
|-
| 5 || 0 || 5
| 5 || 0 || 5
Line 67: Line 96:
| ... || ... || ...
| ... || ... || ...
|}
|}
=== Percentage resistance ===
Percentage resistance reduces the damage by the specified percent. It is applied ''after'' flat/decrease resistances (if both are present) and thus changes the 'modified damage' value above, decreasing it by the specified percentage. If the value is 100%, the entity is immune to the damage. This is the only way to have an entity immune to a type of damage, as flat reduction cannot reduce damage to less than 1.
As an example, an entity with 25% resistance to physical damage hit with a bullet dealing 100 physical damage would take 75 damage instead of 100.
The formula used for percentage resistance to damage is as follows:
Let M denote the flat-resistance-modified starter damage, and let P denote the percentage resistance (in decimal form, so 25%=0.25), and let F denote final damage.
<code>F = M * (1 - P)</code>
== Combined formulas ==
Let D denote the raw incoming damage (of applicable type), R denoted the flat resistance value (against damage of the applicable type), P the percentage resistance (against damage of the same type) in decimal form (e.g. 20%=0.2), and let F denote the final damage (of applicable type) dealt to the target.
=== If R+1<D ===
F = (D - R) * (1 - P)
=== otherwise if D>1 ===
F = (1 - P) / (R-D+2)
=== otherwise ===
F = (1 - P) / (R+1)
{{C|Main}}

Latest revision as of 15:11, 27 January 2025

Red flashing while taking damage.

Taking damage is the effect of lowering the health of the player, enemies or other entities.

Overview

In Factorio, entities have health, can die/be destroyed, and have resistances. Damage is defined as the concept of lowering an entity's health by using an attack, such as a gun firing at it, or a biter chewing on it. An entity's resistances will define exactly how much damage the entity will take off of an arbitrary attack.

The player's maximum health is 250 (without energy shields), and this limit can be increased through the Health technology. Other entities' health values are listed in their individual entries.

Achievements

The concept of damage is directly connected to the following achievements:

Run Forrest, run

Destroy 100 trees by impact.

Pyromaniac

Destroy 10k trees with fire.

Steamrolled

Destroy 10 spawners by impact.

Golem

Survive a hit of 500 damage or more.

Watch your step

Get killed by a moving locomotive.

Damage types

Damage type Used by
Physical
Bullets,
shotgun shells,
railgun ammo,
defender capsule

Biters and wriggler pentapods

Physical and explosion
Cannon shells,
artillery shell
Impact Collision (of train/car/tank)
Fire
Flamethrower ammo,
flamethrower turret
Acid Spitters, worms, and stomper pentapods
Poison
Poison capsule

Wriggler pentapods

Explosion
Rockets,
grenades,
land mine

Strafer pentapods

Laser
Laser turret,
distractor capsule,
personal laser defense
Electric
Discharge defense,
destroyer capsule,
tesla ammo,
tesla turret

Piercing power

Piercing power is present with tank ammunition. It determines how much HP of enemies can a projectile damage before it is no longer able to travel further. To penetrate an enemy, the enemy has to be killed by the projectile, and the damage dealt for the kill must be less than current piercing power.[1] The damage dealt also decreases piercing power. For example, shooting medium biters with 75 health with a cannon shell of 300 piercing power means that the shell will pierce through 4 medium biters, killing them, and still destroy/damage one more target.

Resistance

Resistances to specific damage types can be written in two ways:

  • A percentage, such as: "Physical: 10%". The incoming damage of this type is simply reduced by this percentage.
  • A flat decrease, followed by the percentage, such as: "Physical: 25/10%". This means that incoming damage is reduced by 25 points first, before reducing it by 10%.

Shooting at an object with a physical resistance of "25/10%" has nearly no effect when the bullets inflict less than 25 damage points each. If each bullet does 45 damage points, then the resistance of 25 is subtracted first, and the remaining 20 damage points are reduced by 10%, resulting in 18 damage points being imparted on the target object.

The following two subsections explain the two resistance calculations in detail.

Decrease, or "flat" resistance

Decrease resistance decreases the damage by specified number as long as the resulting damage wouldn't be less than 1. If the result damage would be less than 1, an alternate formula is used. Let R denote the flat resistance value, D the incoming damage, and M the modified damage (that is, the damage after accounting for flat resistance). Then

if R+1<D

M=D-R

otherwise if D>1

M=1/(R-D+2)

otherwise

M=1/(R+1).

If flat resistance matches or exceeds the raw damage, then modified damage is asymptotic towards 0, as shown by following example table:

Damage Flat Resistance Modified damage (with 0% resistance)
5 0 5
5 1 4
5 2 3
5 3 2
5 4 1
5 5 1/2
5 6 1/3
5 7 1/4
5 8 1/5
... ... ...

Percentage resistance

Percentage resistance reduces the damage by the specified percent. It is applied after flat/decrease resistances (if both are present) and thus changes the 'modified damage' value above, decreasing it by the specified percentage. If the value is 100%, the entity is immune to the damage. This is the only way to have an entity immune to a type of damage, as flat reduction cannot reduce damage to less than 1.

As an example, an entity with 25% resistance to physical damage hit with a bullet dealing 100 physical damage would take 75 damage instead of 100.


The formula used for percentage resistance to damage is as follows:

Let M denote the flat-resistance-modified starter damage, and let P denote the percentage resistance (in decimal form, so 25%=0.25), and let F denote final damage.

F = M * (1 - P)

Combined formulas

Let D denote the raw incoming damage (of applicable type), R denoted the flat resistance value (against damage of the applicable type), P the percentage resistance (against damage of the same type) in decimal form (e.g. 20%=0.2), and let F denote the final damage (of applicable type) dealt to the target.

If R+1<D

F = (D - R) * (1 - P)

otherwise if D>1

F = (1 - P) / (R-D+2)

otherwise

F = (1 - P) / (R+1)