Damage: Difference between revisions
m →Combined formulas: Kill section as it's described clearer above |
→Resistance: Bottom line up front: first mention how it's shown in game and what that basically means, before going into details in subsections |
||
| (25 intermediate revisions by 14 users not shown) | |||
| Line 1: | Line 1: | ||
{{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 == | == 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. | 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 | 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 == | ||
| Line 18: | Line 19: | ||
! Damage type !! Used by | ! Damage type !! Used by | ||
|- | |- | ||
| Physical || | | 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 || {{IconLink|Flamethrower ammo}}, {{IconLink|flamethrower turret}} | ||
|- | |- | ||
| | | Acid || [[Enemies#Spitters|Spitters]], [[Enemies#Worms|worms]], and [[Enemies#Stompers|stomper pentapods]] {{SA}} | ||
|- | |- | ||
| | | Poison || {{IconLink|Poison capsule}} | ||
[[Enemies#Wrigglers|Wriggler pentapods]] {{SA}} | |||
|- | |- | ||
| | | 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 || {{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 === | ||
Piercing power is present with [[ | 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 == | ||
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, 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. | 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 | 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 | if R+1<D | ||
| Line 81: | Line 97: | ||
|} | |} | ||
=== | === 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. | 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. | ||
| Line 94: | Line 110: | ||
<code>F = M * (1 - P)</code> | <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
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 |        |
| Physical and explosion |      |
| Impact | Collision (of train/car/tank) |
| Fire |   |
| Acid | Spitters, worms, and stomper pentapods
|
| Poison |  |
| Explosion |       |
| Laser |    |
| Electric |     |
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)