View source for 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.

Stat stage modifiers, for reference:
{| class="roundy" style="margin:auto; text-align:center; background: #FAFAD2; border: 3px solid #000" cellspacing="1" cellpadding="3"
|+ '''Stage multipliers'''
|-
! Stage
| -6 || -5 || -4 || -3 || -2 || -1 || 0 || +1 || +2 || +3 || +4 || +5 || +6
|-
! Gen I-II
| <sup>25</sup>/<sub>100</sub> || <sup>28</sup>/<sub>100</sub> || <sup>33</sup>/<sub>100</sub> || <sup>40</sup>/<sub>100</sub> || <sup>50</sup>/<sub>100</sub> || <sup>66</sup>/<sub>100</sub> || <sup>100</sup>/<sub>100</sub> || <sup>150</sup>/<sub>100</sub> || <sup>200</sup>/<sub>100</sub> || <sup>250</sup>/<sub>100</sub> || <sup>300</sup>/<sub>100</sub> || <sup>350</sup>/<sub>100</sub> || <sup>400</sup>/<sub>100</sub>
|-
! Gen III+
| <sup>2</sup>/<sub>8</sub> || <sup>2</sup>/<sub>7</sub> || <sup>2</sup>/<sub>6</sub> || <sup>2</sup>/<sub>5</sub> || <sup>2</sup>/<sub>4</sub> || <sup>2</sup>/<sub>3</sub> || <sup>2</sup>/<sub>2</sub> || <sup>3</sup>/<sub>2</sub> || <sup>4</sup>/<sub>2</sub> || <sup>5</sup>/<sub>2</sub> || <sup>6</sup>/<sub>2</sub> || <sup>7</sup>/<sub>2</sub> || <sup>8</sup>/<sub>2</sub>
|}

===[[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 {{status|burned}}.
*Multiply its Speed by 0.25 if it is {{status|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 {{status|sleep}}, or a Pokémon using {{m|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 {{m|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 {{m|Selfdestruct}} or {{m|Explosion}}, the target's Defense is multiplied by 0.5, bumped up to 1 if it is 0.
*If {{m|Reflect}} or {{m|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 [[List of glitches (Generation I)#Division by 0|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]]===
*1.125x to physical Attack or Special Attack if the battle is not a Link Battle or taking place in the {{OBP|Battle Tower|Generation II}} and the player has the Zephyr Badge or Glacier Badge, respectively.
*Apply stat stages.
*0.5x to physical Attack if the attacker is {{status|burned}}.
*2x to Special Attack if the attacker is {{p|Pikachu}} holding a [[Light Ball]].
*2x to physical Attack if the attacker is {{p|Cubone}} or {{p|Marowak}} holding a [[Thick Club]].
*0.25x 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.
*2x to physical Attack if the attacker's Ability is {{a|Pure Power}} or {{a|Huge Power}}.
*1.1x 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{{sup/3|RSE}}/Boulder Badge{{sup/3|FRLG}} or Mind Badge{{sup/3|RSE}}/Volcano Badge{{sup/3|FRLG}}, respectively.
*1.1x if the used move is of a certain type and the attacker is holding the [[:Category:Type-enhancing held items|type-enhancing held item]] corresponding to it.
*1.05x if the used move is {{type|Water}} and the attacker is holding a [[Sea Incense]].
*1.5x to physical Attack if the attacker is holding a [[Choice Band]].
*1.5x to Special Attack if the attacker is {{p|Latias}} or {{p|Latios}} holding a [[Soul Dew]].
*2x to Special Attack if the attacker is {{p|Clamperl}} holding a [[DeepSeaTooth]] or {{p|Pikachu}} holding a [[Light Ball]].
*2x to physical Attack if the attacker is {{p|Cubone}} or {{p|Marowak}} holding a [[Thick Club]].
*0.5x to Special Attack if the used move is {{t|Fire}} or {{type|Ice}} and the target's Ability is {{a|Thick Fat}}.
*1.5x to physical Attack if the attacker's Ability is {{a|Hustle}}.
*1.5x to Special Attack if the attacker's Ability is {{a|Plus}} and its ally's is {{a|Minus}}.
*1.5x to Special Attack if the attacker's Ability is {{a|Minus}} and its ally's is {{a|Plus}}.
*1.5x to physical Attack if the attacker's Ability is {{a|Guts}} and it has a non-volatile [[status condition]].

===[[Generation IV]]===
*Apply stat stages.
*2x to physical Attack if the attacker's Ability is {{a|Pure Power}} or {{a|Huge Power}}.
*2x to physical Attack if the attacker's Ability is {{a|Slow Start}} and it has not yet been on the field for 5 turns.
*1.5x to physical Attack or Special Attack if the attacker is holding a [[Choice Band]] or [[Choice Specs]], respectively.
*1.5x to Special Attack if the attacker is {{p|Latias}} or {{p|Latios}} holding a [[Soul Dew]].
*2x to Special Attack if the attacker is {{p|Clamperl}} holding a [[DeepSeaTooth]].
*2x to physical Attack if the attacker is {{p|Cubone}} or {{p|Marowak}} holding a [[Thick Club]].
*1.5x to physical Attack if the attacker's Ability is {{a|Hustle}}.
*1.5x to physical Attack if the attacker's Ability is {{a|Guts}} and it has a non-volatile [[status condition]].
*1.5x to Special Attack if the attacker's Ability is {{a|Plus}} and its ally's is {{a|Minus}}.
*1.5x to Special Attack if the attacker's Ability is {{a|Minus}} and its ally's is {{a|Plus}}.
*1.5x to Special Attack if the attacker's Ability is {{a|Solar Power}}, the weather is [[harsh sunlight]], and no Pokémon on the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}.
*1.5x to physical Attack if the attacker or its ally's Ability is {{a|Flower Gift}}, the weather is [[harsh sunlight]], and no Pokémon on the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}. If both are, apply this twice.

===[[Generation V]] onward===
*Apply stat stages. Divisions are rounded down.
*1.5x to physical Attack if the attacker's Ability is {{a|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 {{stat|Speed}} stat of the Pokémon with them.
**Abilities:
***0.5x Abilities:
****2048 if the target's Ability is {{a|Thick Fat}} and the used move is {{t|Fire}} or {{type|Ice}}, and the Ability is not ignored by a {{cat|Moves that ignore Abilities|move}} or {{cat|Abilities that ignore other Abilities|Ability}}.
****2048 to physical Attack if the attacker's Ability is {{a|Slow Start}} and it has not yet been on the field for five turns.
****2048 if the attacker's Ability is {{a|Defeatist}} and its current HP is half or less of its maximum HP, rounded down.
****2048 if the target's Ability is {{a|Water Bubble}}, the used move is {{t|Fire}}, and the Ability is not ignored by a {{cat|Moves that ignore Abilities|move}} or {{cat|Abilities that ignore other Abilities|Ability}}.
***1.5x Abilities:
****6144 if the attacker's Ability is {{a|Overgrow}}, {{a|Blaze}}, {{a|Torrent}}, or {{a|Swarm}}, the used move is {{t|Grass}}, {{t|Fire}}, {{t|Water}}, or {{type|Bug}}, 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 {{a|Plus}} or {{a|Minus}} and its ally's Ability is also {{a|Plus}} or {{a|Minus}}.
****6144 to physical Attack if the attacker or its ally is a {{p|Cherrim}} with the Ability {{a|Flower Gift}}, the weather is [[harsh sunlight]], and no Pokémon the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}. If both are, it is chained twice.
****6144 if the attacker's Ability is an activated {{a|Flash Fire}} and the used move is {{type|Fire}}.
****6144 if the attacker's Ability is {{a|Steelworker}}, {{a|Transistor}}, or {{a|Dragon's Maw}}, and the used move is {{t|Steel}}, {{t|Electric}}, or {{type|Dragon}}, respectively.
****6144 to physical Attack if the attacker's Ability is {{a|Gorilla Tactics}}.
***2x Abilities:
****8192 to physical Attack if the attacker's Ability is {{a|Huge Power}} or {{a|Pure Power}}.
****8192 if the attacker's Ability is {{a|Water Bubble}} and the used move is {{t|Water}}.
****8192 if the attacker's Ability is {{a|Stakeout}} and the target [[recall|switched in]] this turn.
**Items:
***1.5x 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 {{p|Latias}} or {{p|Latios}} holding a [[Soul Dew]].
***2x items:
****8192 if the attacker is {{p|Pikachu}} holding a [[Light Ball]].
****8192 to physical Attack if the attacker is {{p|Cubone}} or {{p|Marowak}} holding a [[Thick Club]].
****8192 to Special Attack if the attacker is {{p|Clamperl}} holding a [[Deep Sea Tooth]].

==(Special) Defense==
===[[Generation II]]===
*1.125x to physical Attack or Special Attack if the battle is not a Link Battle or taking place in the {{OBP|Battle Tower|Generation II}} and the player has the Zephyr Badge or Glacier Badge, respectively.
*Apply stat stages.
*0.5x to the target's physical Defense if the used move is {{m|Selfdestruct}} or {{m|Explosion}}.
*2x to physical Attack or Special Attack if {{m|Reflect}} or {{m|Light Screen}}, respectively, is up for the target.
*0.25x to the Attack and Defense stat used in damage calculation if either exceeds 255.
*1.5x if the target is a {{p|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.
*1.1x 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{{sup/3|RSE}}/Soul Badge Badge{{sup/3|FRLG}} or Mind Badge{{sup/3|RSE}}/Volcano Badge{{sup/3|FRLG}}, respectively.
*1.5x to Special Defense if the target is {{p|Latias}} or {{p|Latios}} holding a [[Soul Dew]].
*2x to Special Defense if the target is {{p|Clamperl}} holding a [[DeepSeaScale]].
*2x to physical Defense if the target is an untransformed {{p|Ditto}} holding a [[Metal Powder]].
*2x to physical Defense if the target's Ability is {{a|Marvel Scale}} and it has a non-volatile [[status condition]].
*0.5x to the target's physical Defense if the used move is {{m|Selfdestruct}} or {{m|Explosion}}.

===[[Generation IV]]===
*Apply stat stages.
*1.5x to Special Attack if the attacker is {{p|Latias}} or {{p|Latios}} holding a [[Soul Dew]].
*2x to Special Defense if the target is {{p|Clamperl}} holding a [[DeepSeaScale]].
*2x to physical Defense if the target is an untransformed {{p|Ditto}} holding a [[Metal Powder]].
*2x to physical Defense if the target's Ability is {{a|Marvel Scale}}, it has a non-volatile [[status condition]], and the attacker's Ability is not {{a|Mold Breaker}}.
*1.5x to Special Defense if the weather is {{weather|sandstorm}}, the target is {{type|Rock}}, and and no Pokémon on the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}.
*1.5x to Special Defense if the target or its ally's Ability is {{a|Flower Gift}}, the weather is [[harsh sunlight]], no Pokémon on the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}, and the attacker's Ability is not {{a|Mold Breaker}}. If both are, apply this twice.

===[[Generation V]] onward===
*Apply stat stages. Divisions are rounded down.
*1.5x to Special Defense if the weather is {{weather|sandstorm}}, the target is {{type|Rock}}, and and no Pokémon on the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}, rounded half down.
*1.5x to physical Defense if the weather is {{weather|snow}}, the target is {{type|Ice}}, and and no Pokémon on the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}, 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 {{stat|Speed}} stat of the Pokémon with them.
**Abilities:
***1.5x Abilities:
****6144 to Special Defense if the target or its ally is a {{p|Cherrim}} with the Ability {{a|Flower Gift}}, the weather is [[harsh sunlight]], no Pokémon the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}, and the Ability is not ignored by a {{cat|Moves that ignore Abilities|move}} or {{cat|Abilities that ignore other Abilities|Ability}}. If both are, it is chained twice.
****6144 to physical Defense if the target's Ability is {{a|Marvel Scale}}, it has a non-volatile [[status condition]], and the Ability is not ignored by a {{cat|Moves that ignore Abilities|move}} or {{cat|Abilities that ignore other Abilities|Ability}}.
****6144 if the target's Ability is {{a|Grass Pelt}}, {{m|Grassy Terrain}} is in effect, and the Ability is not ignored by a {{cat|Moves that ignore Abilities|move}} or {{cat|Abilities that ignore other Abilities|Ability}}.
***2x Abilities:
****8192 if the target's Ability is {{a|Fur Coat}} and the Ability is not ignored by a {{cat|Moves that ignore Abilities|move}} or {{cat|Abilities that ignore other Abilities|Ability}}.
**Items:
***1.5x 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 [[evolution|evolved]].
****Prior to [[Generation VII]], 6144 to Special Defense if the attacker is {{p|Latias}} or {{p|Latios}} holding a [[Soul Dew]].
***2x items:
****8192 if the target is {{p|Clamperl}} holding a [[Deep Sea Scale]].
****8192 if the target is an untransformed {{p|Ditto}} holding a [[Metal Powder]].

==Speed==
===[[Generation II]]===
*Apply stat stages.
*1.125x if the battle is not a Link Battle or taking place in the {{OBP|Battle Tower|Generation II}} and the player has the Plain Badge, respectively.
*0.25x if the attacker is {{status|paralyzed}}.

===[[Generation III]]===
*2x if the attacker's Ability is {{a|Chlorophyll}} or {{a|Swift Swim}}, the weather is [[harsh sunlight]] or [[rain]], respectively, and no Pokémon on the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}.
*Apply stat stages.
*1.1x 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 Dynamo Badge{{sup/3|RSE}}/Thunder Badge {{sup/3|FRLG}}.
*0.5x if the attacker is holding a [[Macho Brace]].
*0.25x if the attacker is {{status|paralyzed}}.

===[[Generation IV]]===
*Apply stat stages.
*2x if the attacker's Ability is {{a|Chlorophyll}} or {{a|Swift Swim}}, the weather is [[harsh sunlight]] or [[rain]], respectively, and no Pokémon on the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}.
*0.5x if the attacker is holding a [[Macho Brace]], [[Power item]], or [[Iron Ball]].
*1.5x if the attacker is holding a [[Choice Scarf]].
*2x if the attacker is an untransformed {{p|Ditto}} holding a [[Quick Powder]].
*1.5x if the attacker's Ability is {{a|Quick Feet}} and it has a non-volatile [[status condition]].
*0.25x if the attacker is {{status|paralyzed}} and its Ability is not {{a|Quick Feet}}.
*0.5x if the attacker's Ability is {{a|Slow Start}} and it has not yet been on the field for five turns.
*2x if the attacker's Ability is {{a|Unburden}}, it was holding an item but lost it, and it is not currently holding an item.
*2x if {{m|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 {{stat|Speed}} stat of the Pokémon with them.
**Single-side field effects:
***8192 if {{m|Tailwind}} is in effect on the attacker's side.
***1024 if the swamp from the combined effect of {{m|Grass Pledge}} and {{m|Water Pledge}} is in effect on the attacker's side.
**Abilities:
***0.5x Abilities:
****2048 if the attacker's Ability is {{a|Slow Start}} and it has not yet been on the field for five turns.
***1.5x Abilities:
****6144 if the attacker's Ability is {{a|Quick Feet}} and it has a non-volatile [[status condition]].
***2x Abilities:
****8192 if the attacker's Ability is {{a|Chlorophyll}}, {{a|Swift Swim}}, {{a|Sand Rush}}, {{a|Slush Rush}}, the weather is [[harsh sunlight]], [[rain]], {{weather|sandstorm}}, or {{weather|hail}}, respectively, and no Pokémon on the field have the Ability {{a|Cloud Nine}} or {{a|Air Lock}}.
****8192 if the attacker's Ability is {{a|Surge Surfer}} and {{m|Electric Terrain}} is in effect.
****8192 if the attacker's Ability is {{a|Unburden}}, it was holding an item but lost it, and it is not currently holding an item.
**Items:
***0.5x items:
****2048 if the attacker is holding a [[Macho Brace]], [[Power item]], or [[Iron Ball]].
***1.5x items:
****6144 if the attacker is holding a [[Choice Scarf]].
***2x items:
****8192 if the attacker is an untransformed {{p|Ditto}} holding a [[Quick Powder]].
*0.5x (0.25x prior to [[Generation VII]], rounded down, if the attacker is {{status|paralyzed}} and its Ability is not {{a|Quick Feet}}.