Damage: Difference between revisions

Revision as of 23:35, 20 April 2022

Ash's Pokémon injured after a battle

Damage (Japanese: ダメージ damage) is a loss of a Pokémon's HP that happens as the result of a physical or special attack used against it by another Pokémon.

Damage calculation

This section is incomplete.
Please feel free to edit this section to add missing information and complete it.
Reason: past generations detailed info (see User:Awesomelink234/Damage formula), and more detailed info from Gen 5 onward (see here and here)

Except for moves that deal direct damage, the damage dealt when a Pokémon uses a damaging move depends on its level, its effective Attack or Special Attack stat, the opponent's effective Defense or Special Defense stat, and the move's effective power. In addition, various factors of damage modification may also affect the damage dealt.

More precisely, damage is calculated as

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Damage = \left(\frac{\left( \frac{2 \times Level}{5} + 2\right) \times Power \times A / D}{50} + 2\right) \times Targets \times Weather \times Badge \times Critical \times random \times STAB \times Type \times Burn \times other}

where

Level is the level of the attacking Pokémon (or twice the level for a critical hit in Generation I).
A is the effective Attack stat of the attacking Pokémon if the used move is a physical move, or the effective Special Attack stat of the attacking Pokémon if the used move is a special move (ignoring all^Gen. I/negative^Gen. II+ stat stages for a critical hit).
D is the effective Defense stat of the target if the used move is a physical move or a special move that uses the target's Defense stat, or the effective Special Defense of the target if the used move is an other special move (ignoring all^Gen. II/positive^Gen. III+ stat stages for a critical hit).
Power is the effective power of the used move.
Targets is 0.75 if the move has more than one target (except in Battle Royals), 0.5 in Battle Royals if the move has more than one target, and 1 otherwise. (In Generation III, it is 0.5 for moves that target all adjacent foes with more than one target, and 1 otherwise.)
Weather is 1.5 if a Water-type move is being used during rain or a Fire-type move during harsh sunlight, and 0.5 if a Water-type move is used during harsh sunlight or a Fire-type move during rain, and 1 otherwise.
Badge is applied in Generation II only. It is 1.25 if the attacking Pokémon is controlled by the player and if the player has obtained the Badge corresponding to the used move's type, and 1 otherwise.
Critical is applied starting in Generation II. It is 2 for a critical hit in Generations II to V, 1.5 for a critical hit from Generation VI onward, and 1 otherwise. In Generation II, it is instead applied before the +2 of the base damage formula.
random is a random factor. It differs between generations:
- In Generations I and II, it is realized as a multiplication by a random uniformly distributed integer between 217 and 255 (inclusive), followed by an integer division by 255. Flail, Future Sight and Reversal are exempt from this factor.
- From Generation III onward, it is a random integer percentage between 85% and 100% (inclusive). Until Generation V, Doom Desire, Future Sight and Spit Up are exempt from this factor.
STAB is the same-type attack bonus. This is equal to 1.5 if the move's type matches any of the user's types, 2 if the user of the move additionally has Adaptability, and 1 otherwise.
Type is the type effectiveness. This can be 0 (ineffective); 0.25, 0.5 (not very effective); 1 (normally effective); 2, or 4 (super effective), depending on both the move's and target's types.
Burn is 0.5 (from Generation III onward) if the attacker is burned, its Ability is not Guts, and the used move is a physical move (other than Facade from Generation VI onward), and 1 otherwise.
other is 1 in most cases, and a different multiplier when specific interactions of moves, Abilities, or items take effect:

Move	Value	Detail
Moves interacting with Minimize	2	Applies to up to 9 moves per generation, 14 moves in total (see this list) If this is the used move, and the target had previously used Minimize (Note: applies to "Power" rather than "other" in some generations)
Aurora Veil	0.5 *	If in effect on the target's side, the move is not a critical hit and the user's Ability is not Infiltrator (does not stack with Light Screen and Reflect)
Behemoth Bash, Behemoth Blade and Dynamax Cannon	2	If this is the used move, and the target is Dynamaxed
Earthquake and Magnitude	2	From Generation V onward, if this is the used move, and the target is in the semi-invulnerable turn of Dig*
Light Screen	0.5 *	From Generation III onward, if in effect on the target's side, the move used is special, not a critical hit and the user's Ability is not Infiltrator (does not stack with Aurora Veil)
Reflect	0.5 *	From Generation III onward, if in effect on the target's side, the move used is physical, not a critical hit and the user's Ability is not Infiltrator (does not stack with Aurora Veil)
Surf and Whirlpool	2	If this is the used move, and the target is in the semi-invulnerable turn of Dive*
Protecting moves except Max Guard	0.25	If the used move is a damaging Z-Move^{Gen VII}/Max Move^{Gen VIII} the target has protected against

Ability	Value	Detail
Fluffy	0.5	If the target has this Ability, and the used move makes contact and is not Fire-type
Fluffy	2	If the target has this Ability, and the used move is Fire-type and does not make contact
Filter, Prism Armor and Solid Rock	0.75	If the target has this Ability and the used move is super effective (Type > 1)
Friend Guard	0.75	If an ally of the target has this Ability
Ice Scales	0.5	If the target has this Ability and the used move is special
Multiscale, Shadow Shield	0.5	If the target has this Ability and is at full health
Neuroforce	1.25	If the user has this Ability and the used move is super effective (Type > 1)
Punk Rock	0.5	If the target has this Ability and the used move is sound-based
Sniper	1.5	If the attacker has this Ability and the move lands a critical hit
Tinted Lens	2	If the attacker has this Ability and the used move is not very effective (Type < 1)

Item	Value	Detail
Chilan Berry	0.5	If held by the target, and the used move is Normal-type
Expert Belt	~1.2	If held by the attacker and the move is super effective (Type > 1)
Life Orb	~1.3	If held by the attacker
Metronome	>1	1 + (~0.2 per successful consecutive use of the same move) if held by the attacker, but no more than 2
Type-resist Berries	0.5	If held by the target, the move is of the resisted type and super effective (Type > 1)

If multiple effects influence the other value, their values stack multiplicatively. For example, if both Multiscale and a Chilan Berry take effect, other is 0.5 * 0.5 = 0.25.

During the calculation, any operations are carried out on integers internally, such that effectively each division is a truncated integer division (rounding towards zero, cutting off any decimals), and any decimals are cut off after each multiplication operation. If the calculation yields 0, the move will deal 1 HP damage instead (unless Type is equal to 0); however, in Generations I and V, different behavior may occur due to apparent oversights:

In Generation I, if the calculation yields 0 because the target has two types that both resist the move's type, the move will miss as if it is ineffective;
In Generation V, a move may deal 0 HP damage when other is less than 1, because the routine to prevent 0 HP damage is erroneously performed before applying the other factor.

Example

Imagine a level 75 Glaceon that does not suffer a burn and holds no item with an effective Attack stat of 123 uses Ice Fang (an Ice-type physical move with a power of 65) against a Garchomp with an effective Defense stat of 163 in Generation VI, and does not land a critical hit. Then, the move will receive STAB, because Glaceon's Ice type matches the move's: STAB = 1.5. Additionally, Garchomp is Dragon/Ground, and therefore has a double weakness to the move's Ice type: Type = 4. All other (non-random) modifiers will be 1. This effectively gives

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{align} Damage & = \left(\frac{\left( \frac{2 \times 75}{5} + 2\right) \times 65 \times 123 / 163}{50} + 2\right) \times 1 \times 1 \times 1 \times 1 \times (rand \in [0.85,1.00]) \times 1.5 \times 4 \times 1 \times 1\\ & = rand \in [168,196] \end{align} }

That means Ice Fang will do between 168 and 196 HP damage, depending on luck.

If the same Glaceon holds a Muscle Band and its Ice Fang lands a critical hit against Garchomp, Ice Fang's effective power will be boosted by the Muscle Band by (approximately) 10% to become 71, and it will also be Critical = 1.5:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{align} Damage & = \left(\frac{\left( \frac{2 \times 75}{5} + 2\right) \times 71 \times 123 / 163}{50} + 2\right) \times 1 \times 1 \times 1 \times 1.5 \times (rand \in [0.85,1.00]) \times 1.5 \times 4 \times 1 \times 1 \\ &= rand \in [268,324] \end{align} }

That means Ice Fang will now do between 268 and 324 HP damage, depending on luck.

Pokémon Legends: Arceus

This section is incomplete.
Please feel free to edit this section to add missing information and complete it.
Reason: Unsure if Wild Might is applied directly to the A/D stats, or as an other modifier

In Pokémon Legends: Arceus, a new damage calculation method is used:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Damage = \left(\frac{0.2 \times A + 3 \times Level + 20}{D + 50} \right) \times Power \times Type \times STAB \times Weather \times Critical \times random \times other}

where

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Level} is the level of the attacking Pokémon.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A} is the effective Attack stat of the attacking Pokémon if the used move is a physical move, or the effective Special Attack stat of the attacking Pokémon if the used move is a special move.
- If the attacker is under Slow Start, then the physical Attack stat will be halved at this step of the calculation.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle D} is the effective Defense stat of the target if the used move is a physical move, or the effective Special Defense of the target if the used move is an other special move.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Power} is the effective power of the used move.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Type} is the type effectiveness. This can be 0 (ineffective); 0.4, 0.5 (not very effective); 1 (normally effective); 2, or 2.5 (super effective), depending on both the move's and target's types.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle STAB} is the same-type attack bonus. This is equal to 1.25 if the move's type matches any of the user's types, and 1 otherwise.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Weather} is 0.75 if a Fire-type move is used during rain, and 1 otherwise.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Critical} is 1.5 for a critical hit, and 1 otherwise.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle random} is a random factor. It is a random integer percentage between 85% and 100% (inclusive).
- Splinter damage (from Ceaseless Edge, Pin Missile, Spikes, Stealth Rock and Stone Axe) is not subject to this factor.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle other} is:

Status	Value	Detail
Burn	0.5	If the attacker has a burn and uses physical move
Drowsy	1.33	If the target is drowsy
Frostbite	0.5	If the attacker has frostbite and uses a special move
Primed	1.5	If the attacker is primed (Double Hit, Victory Dance)
Fixated	1.5	If the attacker is fixated on a move
Fixated	1.33	If the target is fixated on a move
Power Boost	1.5	If the attacker's offensive stats are raised
Power Drop	0.66	If the attacker's offensive stats are lowered
Guard Boost	0.66	If the target's defensive stats are raised
Guard Drop	1.5	If the target's defensive stats are lowered

If multiple factors apply at the same time, they stack multiplicatively. If none of the factors here apply, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle other} is 1.

Pokémon GO

In Pokémon GO, damage is calculated differently due to different variables existing in the game.

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Damage = \Biggl\lfloor 0.5 \times Power \times \frac{Attack}{Defense} \times Modifier \Biggr\rfloor + 1}

where

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Power} is the power of the move used
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Attack} is the Attack stat of the attacking Pokémon
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Defense} is the Defense stat of the Pokémon being attacked
For Shadow Pokémon:
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \times \tfrac{6}{5}} is applied to Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Attack}
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \times \tfrac{5}{6}} is applied to Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Defense}

and

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Modifier = Type \times STAB \times Weather \times Friendship \times Dodged \times Mega \times Trainer \times Charge}

where

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Type} is the type effectiveness, which is calculated differently in GO, using multipliers of base 1.6 instead of 2.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle STAB} is the same-type attack bonus. This is equal to 1.2 if the move's type matches any of the user's types, and 1 if otherwise.
The following variables are applied in Gym and Raid Battles only, and are 1 otherwise.
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Weather} is 1.2 if the move used has a weather-boosted type, and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1} otherwise.
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Friendship} is applied when battling with Friends and varies depending on the Friendship level.
  - 1.03 if Good Friends
  - 1.05 if Great Friends
  - 1.07 if Ultra Friends
  - 1.1 if Best Friends
  - 1 otherwise
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Dodged} is Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 0.25} if the attack was successfully dodged, and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1} if otherwise.
  - Gym defenders and Raid Bosses will never dodge a player's attacks
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Mega} is greater than 1 when there is one or more Mega-Evolved Pokémon on the battlefield.
  - 1.1 if none of the Mega-Evolved Pokémon have the same type as the move
  - 1.3 if one or more Mega-Evolved Pokémon have the same type as the move
The following variables are applied in Trainer Battles only, and are 1 otherwise.
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Trainer} is Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1.3} for all attacks used in a Trainer Battle.
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Charge} is applied only for Charged Attacks, and its value depends on the player's score during the minigame. The possible ranges are
  - Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Charge = 1} if "Excellent!"
  - Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Charge \in [0.75, 1)} if "Great!"
  - Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Charge \in [0.5, 0.75)} if "Nice!"
  - Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Charge \in [0.25, 0.5)} otherwise

By the damage formula, moves that have a power of 0 such as Splash and Yawn will always do 1 HP damage.

Trivia

In Pokémon Ruby and Sapphire, if the player's Pokémon deals over 33037 HP damage, the Pokémon will faint, but the HP bar will not be drained; if it deals exactly 33037 HP, the HP bar will be drained automatically.
In Generations V through VIII, the amount of damage that can be dealt in a single attack is capped at 65535. In addition, an overflow can occur during the calculation of very high damage amounts, causing the actual damage dealt to be much lower than expected.^[1]
In Pokémon Battle Revolution, the HP bar will change with a different animation depending on the move's type (recovery, recoil damage and indirect damage use the Normal-type animation), as shown below.

Normal	Fighting	Flying	Poison


Ground	Rock	Bug	Ghost

Steel	Fire	Water	Grass

Electric	Psychic	Ice	Dragon

Dark

In other languages

Language		Title
Chinese	Cantonese	傷害 Sēunghoih
Chinese	Mandarin	傷害 / 伤害 Shānghài
Czech		Poškození
Danish		Skade
Finnish		Vahinko
French	Canada	Tort*
French	Europe	Dégâts
German		Schaden
Hungarian		Sebzés
Italian		Danno
Korean		데미지 Damage
Norwegian		Skade
Portuguese	Brazil	Dano
Portuguese	Portugal	Dano
Spanish		Daño
Swedish		Skada

External links

References

↑ https://www.smogon.com/forums/threads/ultra-sun-ultra-moon-battle-mechanics-research-read-post-2.3620030/page-9#post-7760159

This game mechanic article is part of Project Games, a Bulbapedia project that aims to write comprehensive articles on the Pokémon games.

[1] ttps://www.smogon.com/forums/threads/ultra-sun-ultra-moon-battle-mechanics-research-read-post-2.3620030/page-9#post-7760159

[1]

@@ Line 3: / Line 3: @@
 ==Damage calculation==
-{{incomplete|section|needs=past generations detailed info (see [[User:Awesomelink234/Damage formula]])}}
+{{incomplete|section|needs=past generations detailed info (see [[User:Awesomelink234/Damage formula]]), and more detailed info from Gen 5 onward (see [http://www.smogon.com/bw/articles/bw_complete_damage_formula here] and [https://www.trainertower.com/dawoblefets-damage-dissertation/ here])}}
 Except for {{cat|moves that deal direct damage}}, the damage dealt when a Pokémon uses a damaging move depends on its [[level]], its effective Attack or Special Attack [[statistic|stat]], the opponent's effective Defense or Special Defense stat, and the move's effective [[power]]. In addition, various factors of damage modification may also affect the damage dealt.

Damage: Difference between revisions

Revision as of 23:35, 20 April 2022

Contents

Damage calculation

Example

Pokémon Legends: Arceus

Pokémon GO

Trivia

In other languages

External links

References

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