User:Awesomelink234/Stat modifiers

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Specifically, I will be looking at (Special) Attack (Special) Defense, and Speed modifiers. Per usual, all operations prior to Generation V are rounded down to the nearest integer.

For weather-based effects, they do not apply if a Pokémon on the field has the Ability Cloud Nine or Air Lock, or specifically for harsh sunlight and rain, if the Pokémon is holding a Utility Umbrella.

For Abilities that can be ignored, they are not applied if ignored.

Stat stage modifiers, for reference:

**Stage multipliers**
Stage	-6	-5	-4	-3	-2	-1	0	+1	+2	+3	+4	+5	+6
Gen I-II	²⁵/₁₀₀	²⁸/₁₀₀	³³/₁₀₀	⁴⁰/₁₀₀	⁵⁰/₁₀₀	⁶⁶/₁₀₀	¹⁰⁰/₁₀₀	¹⁵⁰/₁₀₀	²⁰⁰/₁₀₀	²⁵⁰/₁₀₀	³⁰⁰/₁₀₀	³⁵⁰/₁₀₀	⁴⁰⁰/₁₀₀
Gen III+	²/₈	²/₇	²/₆	²/₅	²/₄	²/₃	²/₂	³/₂	⁴/₂	⁵/₂	⁶/₂	⁷/₂	⁸/₂

Generation I

Since the modifiers work a bit differently here, I'll be putting this in its own section.

When a Pokémon enters battle:

Multiply its Attack by 0.5 if it is burned.
Multiply its Speed by 0.25 if it is paralyzed.
If the battle is not a Link Battle, and the Pokémon is owned by the player, apply the appropriate Badge boosts, done by multiplying certain stats by 1.125, namely:
- Attack if the player has the Boulder Badge.
- Defense if the player has the Thunder Badge.
- Speed if the player has the Soul Badge.
- Special if the player has the Volcano Badge.

When a stat stage is successfully modified:

Raise or lower the stat stage to the appropriate value.
Multiply the Pokémon's appropriate out-of-battle stat by the corresponding stat stage multiplier. If it is being raised, cap it at 999.
If Badge boosts apply, multiply all the appropriate stats by 1.125.
If the Pokémon whose turn it is not is burned, multiply its Attack by 0.5.
If the Pokémon whose turn it is not is paralyzed, multiply its Speed by 0.25.

When a Pokémon's status condition is cured via an AI Trainer using an item on it, the player using a Full Restore on it when it is not at full HP, the player using a Poké Flute to cure sleep, or a Pokémon using Rest, the stat drops from burn and paralysis will stay.

When a Pokémon's status condition is cured via the player using a dedicated healing item on it (Burn Heal, Antidote, Parlyz Heal, Awakening, Ice Heal, Full Heal), a Full Restore when it is at full HP, or Haze being used by the opponent (which also resets the stat stages themselves), the stats will be reset to their out-of-battle stats, including Badge boosts.

When a Pokémon levels up, its stats are reset to its new out-of-battle stats, and then stat stages, status drops, and Badge boosts are applied, in that order.

Other stuff:

If the move landed a critical hit, use the out-of-battle Attack, Defense, or Special instead.
If the used move is Selfdestruct or Explosion, the target's Defense is multiplied by 0.5, bumped up to 1 if it is 0.
If Reflect or Light Screen is up for the target, its Defense or Special, respectively, will be doubled.
If either the Attack, Defense, or Special used in damage calculation exceeds 255, both are divided by 4. They will remain at 0 if reached, and if this happens to the defensive stat, the game will attempt to divide by 0 and softlock as a result.

(Special) Attack

If I do not specify physical or Special Attack, the effect applies to whichever one gets used. If it ends up as 0, bump it up to 1.

Generation II

1.125× to physical Attack or Special Attack if the battle is not a Link Battle or taking place in the Battle Tower and the player has the Zephyr Badge or Glacier Badge, respectively.
Apply stat stages.
0.5× to physical Attack if the attacker is burned.
2× to Special Attack if the attacker is Pikachu holding a Light Ball.
2× to physical Attack if the attacker is Cubone or Marowak holding a Thick Club.
0.25× to the Attack and Defense stat used in damage calculation if either exceeds 255.
If the move lands a critical hit and the attacker's Attack stat stage is less than or equal to the target's corresponding Defense stat stage, the effects of stat stages, Badge boosts, and burn are ignored.

Generation III

Apply stat stages.
2× to physical Attack if the attacker's Ability is Pure Power or Huge Power.
1.1× to physical Attack or Special Attack if the battle is not a Link Battle or taking place in a battle facility and the player has the Stone Badge^RSE/Boulder Badge^FRLG or Mind Badge^RSE/Volcano Badge^FRLG, respectively.
1.1× if the used move is of a certain type and the attacker is holding the type-enhancing held item corresponding to it.
1.05× if the used move is Water-type and the attacker is holding a Sea Incense.
1.5× to physical Attack if the attacker is holding a Choice Band.
1.5× to Special Attack if the attacker is Latias or Latios holding a Soul Dew.
2× to Special Attack if the attacker is Clamperl holding a DeepSeaTooth or Pikachu holding a Light Ball.
2× to physical Attack if the attacker is Cubone or Marowak holding a Thick Club.
0.5× to Special Attack if the used move is Fire or Ice-type and the target's Ability is Thick Fat.
1.5× to physical Attack if the attacker's Ability is Hustle.
1.5× to Special Attack if the attacker's Ability is Plus and its ally's is Minus.
1.5× to Special Attack if the attacker's Ability is Minus and its ally's is Plus.
1.5× to physical Attack if the attacker's Ability is Guts and it has a non-volatile status condition.

Generation IV

Apply stat stages.
2× to physical Attack if the attacker's Ability is Pure Power or Huge Power.
2× to physical Attack if the attacker's Ability is Slow Start and it has not yet been on the field for 5 turns.
1.5× to physical Attack or Special Attack if the attacker is holding a Choice Band or Choice Specs, respectively.
1.5× to Special Attack if the attacker is Latias or Latios holding a Soul Dew.
2× to Special Attack if the attacker is Clamperl holding a DeepSeaTooth.
2× to physical Attack if the attacker is Cubone or Marowak holding a Thick Club.
1.5× to physical Attack if the attacker's Ability is Hustle.
1.5× to physical Attack if the attacker's Ability is Guts and it has a non-volatile status condition.
1.5× to Special Attack if the attacker's Ability is Plus and its ally's is Minus.
1.5× to Special Attack if the attacker's Ability is Minus and its ally's is Plus.
1.5× to Special Attack if the attacker's Ability is Solar Power and the weather is harsh sunlight.
1.5× to physical Attack if the attacker or its ally's Ability is Flower Gift and the weather is harsh sunlight. If both are, apply this twice.

Generation V onward

Apply stat stages. Divisions are rounded down.
1.5× to physical Attack if the attacker's Ability is Hustle, rounded half down.
Apply chained modifiers. This is done by starting at 4096, multiplying by each applicable modifier in order with the number specified, dividing it by 4096 and rounding half up, and when the final value is gotten, multiplying it by the result thus far, and dividing by 4096 and rounding half down. If multiple Abilities or items take effect, they are chained in the order of the out-of-battle Speed stat of the Pokémon with them.
- Abilities:
  - 0.5× Abilities:
    - 2048 if the target's Ability is Thick Fat and the used move is Fire or Ice-type
    - 2048 to physical Attack if the attacker's Ability is Slow Start and it has not yet been on the field for five turns.
    - 2048 if the attacker's Ability is Defeatist and its current HP is half or less of its maximum HP, rounded down.
    - 2048 if the target's Ability is Water Bubble and the used move is Fire
  - 1.5× Abilities:
    - 6144 if the attacker's Ability is Overgrow, Blaze, Torrent, or Swarm, the used move is Grass, Fire, Water, or Bug-type, respectively, and its current HP is a third or less of its maximum HP, rounded down.
    - 6144 to Special Attack if the attacker's Ability is Plus or Minus and its ally's Ability is also Plus or Minus.
    - 6144 to physical Attack if the attacker or its ally is a Cherrim with the Ability Flower Gift and the weather is harsh sunlight. If both are, it is chained twice.
    - 6144 if the attacker's Ability is an activated Flash Fire and the used move is Fire-type.
    - 6144 if the attacker's Ability is Steelworker, Transistor, or Dragon's Maw, and the used move is Steel, Electric, or Dragon-type, respectively.
      - In Generation IX, Transistor's multiplier is instead 5325 (~1.3).
    - 6144 to physical Attack if the attacker's Ability is Gorilla Tactics.
  - 2× Abilities:
    - 8192 to physical Attack if the attacker's Ability is Huge Power or Pure Power.
    - 8192 if the attacker's Ability is Water Bubble and the used move is Water.
    - 8192 if the attacker's Ability is Stakeout and the target switched in this turn.
- Items:
  - 1.5× items:
    - 6144 to physical Attack or Special Attack if the attacker is holding a Choice Band or Choice Specs, respectively.
    - Prior to Generation VII, 6144 to Special Attack if the attacker is Latias or Latios holding a Soul Dew.
  - 2× items:
    - 8192 if the attacker is Pikachu holding a Light Ball.
    - 8192 to physical Attack if the attacker is Cubone or Marowak holding a Thick Club.
    - 8192 to Special Attack if the attacker is Clamperl holding a Deep Sea Tooth.

(Special) Defense

Generation II

1.125× to physical Attack or Special Attack if the battle is not a Link Battle or taking place in the Battle Tower and the player has the Zephyr Badge or Glacier Badge, respectively.
Apply stat stages.
0.5× to the target's physical Defense if the used move is Selfdestruct or Explosion.
2× to physical Attack or Special Attack if Reflect or Light Screen, respectively, is up for the target.
0.25× to the Attack and Defense stat used in damage calculation if either exceeds 255.
1.5× if the target is a Ditto holding a Metal Powder.
If the move lands a critical hit and the attacker's Attack stat stage is less than or equal to the target's corresponding Defense stat stage, the effects of stat stages, Badge boosts, and Reflect and Light Screen are ignored.

Generation III

Apply stat stages.
1.1× to physical Defense or Special Defense if the battle is not a Link Battle or taking place in a battle facility and the player has the Balance Badge^RSE/Soul Badge Badge^FRLG or Mind Badge^RSE/Volcano Badge^FRLG, respectively.
1.5× to Special Defense if the target is Latias or Latios holding a Soul Dew.
2× to Special Defense if the target is Clamperl holding a DeepSeaScale.
2× to physical Defense if the target is an untransformed Ditto holding a Metal Powder.
2× to physical Defense if the target's Ability is Marvel Scale and it has a non-volatile status condition.
0.5× to the target's physical Defense if the used move is Selfdestruct or Explosion.

Generation IV

Apply stat stages.
1.5× to Special Attack if the attacker is Latias or Latios holding a Soul Dew.
2× to Special Defense if the target is Clamperl holding a DeepSeaScale.
2× to physical Defense if the target is an untransformed Ditto holding a Metal Powder.
2× to physical Defense if the target's Ability is Marvel Scale, it has a non-volatile status condition, and the attacker's Ability is not Mold Breaker.
1.5× to Special Defense if the weather is sandstorm and the target is Rock-type.
1.5× to Special Defense if the target or its ally's Ability is Flower Gift and the weather is harsh sunlight. If both are, apply this twice.

Generation V onward

Apply stat stages. Divisions are rounded down.
1.5× to Special Defense if the weather is sandstorm and the target is Rock-type. This and the snow modifier are rounded half down.
1.5× to physical Defense if the weather is snow and the target is Ice-type.
Apply chained modifiers. This is done by starting at 4096, multiplying by each applicable modifier in order with the number specified, dividing it by 4096 and rounding half up, and when the final value is gotten, multiplying it by the result thus far, and dividing by 4096 and rounding half down. If multiple Abilities or items take effect, they are chained in the order of the out-of-battle Speed stat of the Pokémon with them.
- Abilities:
  - 1.5× Abilities:
    - 6144 to Special Defense if the target or its ally is a Cherrim with the Ability Flower Gift and the weather is harsh sunlight. If both are, it is chained twice.
    - 6144 to physical Defense if the target's Ability is Marvel Scale and it has a non-volatile status condition
    - 6144 if the target's Ability is Grass Pelt and Grassy Terrain is in effect
  - 2× Abilities:
    - 8192 if the target's Ability is Fur Coat.
- Items:
  - 1.5× items:
    - 6144 to Special Defense if the target is holding an Assault Vest.
    - 6144 if the target is holding an Eviolite and is not fully evolved.
    - Prior to Generation VII, 6144 to Special Defense if the attacker is Latias or Latios holding a Soul Dew.
  - 2× items:
    - 8192 if the target is Clamperl holding a Deep Sea Scale.
    - 8192 if the target is an untransformed Ditto holding a Metal Powder.

Speed

Generation II

Apply stat stages.
1.125× if the battle is not a Link Battle or taking place in the Battle Tower and the player has the Plain Badge, respectively.
0.25× if the attacker is paralyzed.

Generation III

2× if the attacker's Ability is Chlorophyll or Swift Swim and the weather is harsh sunlight or rain.
Apply stat stages.
1.1× if the battle is not a Link Battle or taking place in a battle facility and the player has the Dynamo Badge^RSE/Thunder Badge ^FRLG.
0.5× if the attacker is holding a Macho Brace.
0.25× if the attacker is paralyzed.

Generation IV

Apply stat stages.
2× if the attacker's Ability is Chlorophyll or Swift Swim and the weather is harsh sunlight or rain, respectively.
0.5× if the attacker is holding a Macho Brace, Power item, or Iron Ball.
1.5× if the attacker is holding a Choice Scarf.
2× if the attacker is an untransformed Ditto holding a Quick Powder.
1.5× if the attacker's Ability is Quick Feet and it has a non-volatile status condition.
0.25× if the attacker is paralyzed and its Ability is not Quick Feet.
0.5× if the attacker's Ability is Slow Start and it has not yet been on the field for five turns.
2× if the attacker's Ability is Unburden, it was holding an item but lost it, and it is not currently holding an item.
2× if Tailwind is in effect on the attacker's side.

Generation V onward

Apply stat stages. Divisions are rounded down.
Apply chained modifiers. This is done by starting at 4096, multiplying by each applicable modifier in order with the number specified, dividing it by 4096 and rounding half up, and when the final value is gotten, multiplying it by the result thus far, and dividing by 4096 and rounding half down. If multiple Abilities or items take effect, they are chained in the order of the out-of-battle Speed stat of the Pokémon with them.
- Single-side field effects:
  - 8192 if Tailwind is in effect on the attacker's side.
  - 1024 if the swamp from the combined effect of Grass Pledge and Water Pledge is in effect on the attacker's side.
- Abilities:
  - 0.5× Abilities:
    - 2048 if the attacker's Ability is Slow Start and it has not yet been on the field for five turns.
  - 1.5× Abilities:
    - 6144 if the attacker's Ability is Quick Feet and it has a non-volatile status condition.
  - 2× Abilities:
    - 8192 if the attacker's Ability is Chlorophyll, Swift Swim, Sand Rush, Slush Rush and the weather is harsh sunlight, rain, sandstorm, or hail (Gen VII and Gen VIII)/snow (Gen IX), respectively.
    - 8192 if the attacker's Ability is Surge Surfer and Electric Terrain is in effect.
    - 8192 if the attacker's Ability is Unburden, it was holding an item but lost it, and it is not currently holding an item.
- Items:
  - 0.5× items:
    - 2048 if the attacker is holding a Macho Brace, Power item, or Iron Ball.
  - 1.5× items:
    - 6144 if the attacker is holding a Choice Scarf.
  - 2× items:
    - 8192 if the attacker is an untransformed Ditto holding a Quick Powder.
0.5× (0.25× prior to Generation VII, rounded down, if the attacker is paralyzed and its Ability is not Quick Feet.