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Damage: Difference between revisions

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{{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). Other entities' health values are listed in their individual entries.
== Achievements ==
The concept of damage is directly connected to the following achievements:
{{Achievement|run-forrest-run}}
{{Achievement|pyromaniac}}
{{Achievement|steamrolled}}
{{Achievement|golem}}
{{Achievement|watch-your-step}}


{{Languages}}
== Damage types ==
== 伤害类型 ==
{|class="wikitable"
{|class="wikitable"
|-
|-
! Damage type|伤害类型 !! Used by|武器
! Damage type !! Used by
|-
| Physical || Bullets ([[Firearm magazine|regular]]/[[Piercing rounds magazine|piercing]]/[[Uranium rounds magazine|uranium]]), shotgun shells ([[Shotgun shells|regular]]/[[Piercing shotgun shells|piercing]]), [[Enemies#Biters|biters]], [[Defender_capsule|defender robots]]
|-
| Impact || Collision (of [[Locomotive|train]]/[[car]]/[[tank]])
|-
|-
| Physical|物理伤害 || Bullets|手枪 冲锋枪 ([[Regular magazine|普通弹匣]]/[[Piercing rounds magazine|穿甲弹匣]]), 霰弹枪 ([[Shotgun shells|普通霰弹]]/[[Piercing shotgun shells|穿刺霰弹]]), [[Enemies#Biters|小中大食人虫]], 斧头 ([[Iron axe|铁斧]]/[[Steel axe|钢斧]]), 碰撞 ( [[Diesel locomotive|火车]]/[[car|车]])
| Fire || [[Flamethrower]], [[Flamethrower turret]]
|-
|-
| Fire|火焰伤害 || [[Flamethrower|喷火器]]
| Acid || [[Enemies#Worms|Worms]], [[Enemies#Spitters|Spitters]]
|-
|-
| Acid|腐蚀伤害 || [[Enemies#Worms|沙虫炮塔]]
| Poison || [[Poison capsule]]
|-
|-
| Poison|毒性伤害 || [[Poison capsule|剧毒手雷]]
| Explosion || [[Rocket|Rockets]], [[Explosive rocket|Explosive Rockets]], [[Grenade]], [[Cluster grenade]], [[Artillery shell]], [[Land mine]]
|-
|-
| Explosion|爆炸伤害 || [[Rocket|制式火箭]], [[Explosive rocket|爆炸火箭]]
| Laser || [[Turret#Laser Turrets|Laser turrets]], [[Distractor capsule|distractor robots]], [[personal laser defense]]
|-
|-
| Laser|激光伤害 || [[Laser turrets|激光炮塔]], [[Distractor capsule|掩护机器人]]/[[Destroyer capsule|进攻机器人]], [[personal laser defense|个人激光防御模块]]
| Electric || [[Discharge defense]], [[Destroyer capsule|destroyer robots]]
|}
|}


== 伤害抗性 ==
=== Piercing power ===
伤害抗性分为两种:
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.
=== 百分抗性 ===
 
优先计算,百分比减伤
== Resistance ==
=== 固定抗性 ===
Resistance has two aspects:
:1. 减少指定数额的伤害, 但减除的伤害不会小于1
=== Decrease, or "flat" resistance ===
:2. 当减除到1之后抗性还有剩余, 剩下的抗性数值将作为1的除数作为最终伤害
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.
:3. 举例: 伤害10点 固定抗性8点 最终伤害为 10点 - 8点 = 2点 
Let R denote the flat resistance value, D the incoming damage, and M the modified damage, after accounting for flat resistance. Then
        伤害10点 固定抗性11点 最终伤害为 ( 10点 - 9点 )/( 11点 - 9点 ) = 0.5 点
 
        伤害100点 百分抗性90% 固定抗性8点 最终伤害为 100点×90% - 8点 = 2点
if R+1<D
        伤害100点 百分抗性90% 固定抗性11点 最终伤害为 ( 100点×90% - 9点 )/( 11点 - 9点 ) = 0.5 点
 
<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
! Damage !! Flat Resistance !! Modified damage (with 0% resistance)
|-
|-
| 5 || 0 || 5
| 5 || 0 || 5
Line 54: Line 83:
| ... || ... || ...
| ... || ... || ...
|}
|}
=== Percentage resistance ===
Percentage resistance reduces the damage by the specified percent. It is applied ''after'' flat/decrease resistances when 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 beneath 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>
--------
In Factorio, resistances are displayed in the UI as follows:
Decrease resistance/Percentage resistance (Damage type)
So, an entity that displays 10/20% resistance to fire has 10 flat resistance and 20% percent resistance to fire. If the aforementioned entity were to take 30 fire damage, they would instead take 16 damage, after resistances were applied.
The formula used for the above:
16<sup>final damage</sup> = (30<sup>initial raw damage</sup> - 10<sup>flat resist</sup>) * 0.8<sup>20% resistance</sup>
== 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 19:01, 24 September 2023

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). 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-achievement.png Run Forrest, run

Destroy 100 trees by impact.

Pyromaniac-achievement.png Pyromaniac

Destroy 10k trees with fire.

Steamrolled-achievement.png Steamrolled

Destroy 10 spawners by impact.

Golem-achievement.png Golem

Survive a hit of 500 damage or more.

Watch-your-step-achievement.png Watch your step

Get killed by a moving locomotive.

Damage types

Damage type Used by
Physical Bullets (regular/piercing/uranium), shotgun shells (regular/piercing), biters, defender robots
Impact Collision (of train/car/tank)
Fire Flamethrower, Flamethrower turret
Acid Worms, Spitters
Poison Poison capsule
Explosion Rockets, Explosive Rockets, Grenade, Cluster grenade, Artillery shell, Land mine
Laser Laser turrets, distractor robots, personal laser defense
Electric Discharge defense, destroyer robots

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

Resistance has two aspects:

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, 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 when 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 beneath 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)


In Factorio, resistances are displayed in the UI as follows:

Decrease resistance/Percentage resistance (Damage type)

So, an entity that displays 10/20% resistance to fire has 10 flat resistance and 20% percent resistance to fire. If the aforementioned entity were to take 30 fire damage, they would instead take 16 damage, after resistances were applied.

The formula used for the above:

16final damage = (30initial raw damage - 10flat resist) * 0.820% resistance

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)