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'''Damage modification''' is a system of multipliers used to change the [[damage]] dealt in a {{pkmn|battle}}. These modifiers affect how the damage is calculated by multiplying the move's [[base power]] in various ways. These modifiers range from doubling to halving and even negating the damage done.
'''Damage''' is the name for the affliction caused when a [[Pokémon]] uses an offensive [[move]] against the foe. It cuts down the foe's [[HP|Hit Points]].


==Type effectiveness==
The amount of damage depends on the category of the move and the stats of the Pokémon. Some moves, such as {{m|Grass Knot}} or {{m|Night Shade}}, depend on other factors. There are also [[One-hit knockout move|one-hit KO moves]] like {{m|Sheer Cold}} that will do the maximum amount of damage and knock the opponent out in one hit.
Since each move has an [[elemental types|elemental type]], its ''effectiveness'' is largely determined by the targetted Pokémon's type.  Moves can have regular effectiveness or be super effective, not very effective, or not effective at all.


===Super effective===
==Damage modification==
When a move is '''super effective''', it inflicts double the damage it would normally do. For example, a move like {{m|Megahorn}} used against a {{type2|Psychic}} Pokémon will be super effective because {{type2|Bug}} moves are super effective against Psychic-types. This effect can stack up; for example, a Pokémon that is {{t|Rock}}/{{t|Ground}} and is hit by a {{type2|Water}} move like {{m|Surf}} will be damaged four times as much by the move as a {{type2|Normal}} Pokémon would be, because both Rock and Ground Pokémon are weak to Water moves.
{{main|Damage modification}}


===Not very effective===
The damage a [[move]] will inflict varies according to the attacker's Attack or Special Attack [[stats]] and the defender's Defense or Special Defense. Inflicted damage can be adjusted with in-battle stat enhancers, such as [[Battle item#X Attack|X Attack]] and [[Battle item#X Defend|X Defend]], or moves, such as {{m|Swords Dance}} or {{m|Acid Armor}}.
When a move is '''not very effective''', it deals half of the damage it would normally do. This works exactly like super effective moves, and can stack up. For example, a {{t|Steel}}/{{t|Rock}} Pokémon will be damaged by a quarter of the amount by a {{type2|Normal}} move. Likewise, a {{t|Normal}}/{{t|Flying}} Pokémon hit by a {{type2|Fighting}} move will be damaged normally, as the super-effectiveness of Fighting against Normal is canceled out by the not-very-effectiveness of Fighting against Flying.


===Not effective===
Damage can also vary according to the user or target's [[Elemental types|type]], with moves either scoring super effective or not very effective hits. Some moves may not do damage at all. For example, when a {{type2|Grass}} move is used on a {{type2|Ground}} Pokémon, it will do 2x damage, while the reverse (a {{type2|Ground}} move used on a {{type2|Grass}} Pokémon) will do 1/2x damage. If a move is either super effective or not very effective against both types of a dual-typed Pokémon, it will do either 4x damage or 1/4x damage.
When a move is '''not effective''', it does not damage the Pokémon at all and that Pokémon is "immune" to that type. This immunity includes status moves of that type. For example, the {{type2|Electric}} move {{m|Thunderbolt}} will have no affect on a {{type2|Ground}} Pokémon such as {{p|Garchomp}}. Likewise, using the move {{m|Thunder Wave}} will prove useless and yields a "It '''does''' not affect Garchomp" (whereas a {{m|Confuse Ray}} that simply missed yields "It '''did''' not affect Garchomp"). Certain types are immune to specific moves, such as {{type2|Grass}} Pokémon being immune to {{m|Leech Seed}}.


==Critical hit==
Some moves have an increased probability of landing [[Damage modification#Critical hit|critical hit]]s, which multiplies the damage inflicted by 2x.
A move will sometimes inflict a '''critical hit''' against another Pokémon. This will double the damage done after type effectiveness calculations occur, leading to the possibility of a doubly-super effective move that gets a critical hit to do eight times as much damage as normal. Pokémon with the {{a|Sniper}} ability will triple the damage done during a critical hit rather than double it.  Regular moves have a 6.25% chance of scoring a critical hit, but some moves have increased critical hit rates.  


The chance of causing a critical hit can be modified by using [[:Category:Moves with a high critical-hit ratio|moves]] or items that increase the critical hit level.
Many [[held item]]s and [[berries]] can increase or decrease damage inflicted.


{| border="1" style="border: 1px solid #88a; border-collapse: collapse;" cellspacing="1" cellpadding="2"
==Damage formula==
|- style="background: #ccf;"
The damage dealt when a Pokémon uses a damaging move depends on its Attack or Special Attack-[[Stats|stat]], the opponent's corresponding Defense-stat, the move's base damage. In addition, various circumstances, such as type-weaknesses, [[STAB|STAB-bonus]], will intensify or weaken the damage of the move.
! Level
! Percentage
! Moves
|-
|1
|6.25%
|Regular moves
|-
|2
|12.5%
|[[:Category:Moves with a high critical-hit ratio|Moves with an increased critical hit rate]]: {{m|Slash}}, {{m|Stone Edge}} etc.
|-
|3
|25%
|Moves used by {{p|Farfetch'd}} and {{p|Chansey}} with the [[Stat-enhancing item#Stick|Stick]] and [[Lucky Punch]] attached, respectively
|-
|4
|33.3%
|Critical hit moves used in combination with {{a|Super Luck}}
|-
|5
|50%
|Critical hit moves used in combination with {{a|Super Luck}} and a [[Razor Claw]] or [[Scope Lens]].
|}


[[Scope Lens]] and [[Razor Claw]] add 1 level each, the [[Stat-enhancing item#Stick|Stick]] adds 2 levels (for {{p|Farfetch'd}} only), the [[Stat-enhancing item#Lucky Punch|Lucky Punch]] adds 2 levels (for {{p|Chansey}} only), {{m|Focus Energy}} adds a level, {{a|Super Luck}} doubles the amount of levels and goes before the items are calculated in. 50% is the maximum critical hit ratio, since no situation exceeds it.
The damage formula is, from [http://www.serebii.net/games/damage.shtml Serebii.net], the following:


When a move scores a critical hit, damage is calculated based on either the modified or unmodified attack and defense stats, whichever is more advantageous to the attacker.  For example, an attacker who has used {{m|Swords Dance}} and then makes a critical hit will get the benefit of the increased Attack, while one affected by {{m|Charm}} will use its normal Attack score. Another example would be if a team had {{m|Light Screen}} or {{m|Reflect}} on it and the attacker scored a critical on the team with the certain wall; the defense added by the wall would then be ignored, and will do double normal damage. In [[Generation I]], critical hits always ignore stat modifiers, even if this is disadvantageous to the attacker.
<!--
<math>
\begin{align}
\text{damage}=\left(\frac{(2*\text{level}+10)*\text{attack}*\text{basedamage}}{250*\text{defense}}+2\right)*\text{modifier}*\text{stab}*\text{rand},\qquad&\text{stabbonus}\in\{1,1.5\},\\
&\text{modifier}\in\{0,0.25,0.5,1,2,4\},\\
&\text{rand}\in[0.85;1.00]
\end{align}
</math>
-->
[[Image:Damageformula.png|800px]]


==Same-type attack bonus==
''level'' is the level of the damaging Pokémon; ''[[STAB|stab]] bonus'' is 1.5 if the Pokémon is the same type as the attack, 1 otherwise; ''modifier'' is the type advantage/disadvantage (Super effective, Not very effective) modifier; and finally ''rand'' is a number between 0.85 and 1.00 inclusive. If the move is a physical move, ''attack'' is the working Attack-stat of the damaging Pokémon, and ''defense'' is the working Defense-stat of the victim; if the move is special, ''attack'' is the special attack stat, and ''defense'' is the special defense stat.
{{main|Same-type attack bonus}}
A move used by a Pokémon that is of the same type as the move itself will do 150% of its normal damage, such as a {{type2|Fire}} move used by a Fire-type Pokémon. Dual-typed Pokémon will receive this bonus for both of their types, and a Pokémon whose type can change in-battle will receive the bonus for whatever type they are when they make the move.


==Weather==
=====Example=====
{{main|Weather conditions}}
{{type2|Water}} and {{type2|Fire}} moves' damage will be modified by rain and sunshine. If {{m|Rain Dance}} causes a downpour, Water-type moves will do 50% more damage and Fire-type moves will do 50% less damage. If {{m|Sunny Day}} causes harsh sunlight, Fire-type moves will do 50% more damage and Water-type moves will do 50% less damage.


==Abilities==
Let's say our [[level]] 75 {{p|Glaceon}} has the following [[stats]]:
{{main|Abilities}}
Abilities come in a wide variety, and have various effects on damage modification. These affects range from increasing and decreasing the power of moves of a specific [[type]], granting immunities, and even changing the power of moves affected by other damage modifiers. These abilities include:  


*{{a|Blaze}}, {{a|Overgrow}}, {{a|Torrent}} and {{a|Swarm}} increase the power of {{type2|Fire}}, {{type2|Grass}}, {{type2|Water}} and {{type2|Bug}} moves by 50% when the user's HP falls below 33%, respectively.
''HP:'' 201<br>
*{{a|Thick Fat}} decreases the power of the opponents' Fire-type and Ice-type moves by 50%. {{a|Heatproof}} decreases the power of opponents' Fire-type moves by 50%.
''Attack:'' 123<br>
*{{a|Levitate}} provides immunity to {{type2|Ground}} moves, and {{a|Soundproof}} provides immunity to sound-based moves.
''Defense:'' 181
*{{a|Volt Absorb}} and {{a|Water Absorb}} grant immunity to {{type2|Electric}} and {{type2|Water}} moves respectively, healing the user's HP by 25% instead.
*{{a|Dry Skin}} works in part like Water Absorb, healing when hit with a {{type2|Water}} move, but it also heals the Pokémon slightly during [[Weather conditions#Heavy rain|rain]].  However, it also causes the Pokémon to receive additional damage from {{type2|Fire}} attacks and receive slight damage during [[Weather conditions#Intense sunlight|sunshine]].
*{{a|Flash Fire}} negates the effect of opponents' Fire-type moves and instead increases the power of the ability's user's own Fire-type attacks. Similarly, {{a|Motor Drive}} negates the effect of opponents' Electric-type moves and instead causes the ability's user's Speed to increase. These abilities include [[status move]]s like {{m|Will-O-Wisp}} and {{m|Thunder Wave}}.
*{{a|Mold Breaker}} removes all ability-based immunities to the user's moves.
*{{a|Scrappy}} removes {{type2|Ghost}} Pokémon's immunity to the {{type2|Normal}} and {{type2|Fighting}} moves of the user. 
*{{a|Drizzle}}, {{a|Drought}}, {{a|Sand Stream}} and {{a|Snow Warning}} cause permanent rain, sunshine, sandstorm, and hail respectively.
*{{a|Adaptability}} doubles the power of moves of the same type as the user.
*{{a|Hustle}} boosts the power of the user's moves by 50%.
*{{a|Pure Power}} and {{a|Huge Power}} both double the power of the user's [[Physical move|physical attack]]s.
*{{a|Technician}} increases the power of the user's moves with base power 60 or less by 50%.
*{{a|Super Luck}} increases the user's critical hit ratio.
*{{a|Battle Armor}} and {{a|Shell Armor}} block critical hits.
*{{a|Sniper}} increases the power of the user's critical hits.
*{{a|Tinted Lens}} doubles the power of the user's moves that are not very effective.
*{{a|Solid Rock}} and {{a|Filter}} each reduce the power of super effective moves on the ability's user by one third.
*{{a|Wonder Guard}} reduces the power of the opponent's attacks that are not super effective to zero.


==Items==
It uses the move {{m|Ice Fang}} ({{t|Ice}}, physical, base damage 65) against [[Cynthia]]'s level 78 {{p|Garchomp}}:
:''See also: [[Type-enhancing item]]''
Some [[held item]]s increase the power of an attack by a small percentage.  Most of these items boost attacks [[type-enhancing item|only of a certain type]] by 20%.  Some [[stat-enhancing item|items]] can also modify damage by boosting the attacker's offensive stats or the victim's defensive stats.  Some [[Berry#Generation IV|berries]] also weaken an opponent's super effective move.


Other held items that modify damage include:
''HP:'' 270<br>
* [[Muscle Band]] boosts [[physical move]]s by 10%
''Attack:'' 210<br>
* [[Wise Glasses]] boost [[special move]]s by 10%
''Defense:'' 163<br>
* [[Expert Belt]] boosts super-effective attacks by 20%
''(stats do not represent the actual Garchomp used by Cynthia)''
* [[Life Orb]] boosts all attacks by 30%
* [[In-battle effect item#Metronome|Metronome]] boosts the power of moves used repeatedly


==Other==
Garchomp is {{t|Dragon}}/{{t|Ground}}, so it has a double weakness to {{t|Ice}}. Thus, ''modifier'' = 4. Additionally, Glaceon receives a [[STAB]]-bonus, so ''stabbonus'' = 1.5. We insert the relevant values and stats in the parameters of ''damage'' and get:
A number of other variables can affect the amount of damage caused by an attack.


* If the attacker is {{status|Burn|burned}} and their ability is not {{a|Guts}}, their [[physical move|physical damage]] will be decreased by half.
<!--<math>
* In a [[double battle]], moves that hit multiple targets have a 75% modifier.
\text{damage}=\left(\tfrac{(2*75+10)*123*65}{250*163}+2\right)*4*1.5*\text{rand}=200.348*\text{rand}=170.3\,..\,200.3
* {{m|Reflect}} and {{m|Light Screen}} decrease opponents' physical and special attacks, respectively, by 50% in a one-on-one battle and 33% in a double battle.
</math>-->
[[Image:Damageformula-example.png]]


===Randomization adjustment===
Depending on luck, {{p|Glaceon}} will do damage in the range 170-200 HP. Despite {{p|Garchomp}}'s double weakness to {{t|Ice}}, Glaceon's {{m|Ice Fang}} will not defeat it in a single hit.
Every time a regular attack is executed, the actual damage caused is adjusted by a random multiplier between 0.85× and 1.00×.  The probability of each percentage is nonuniform due to {{wp|integer division}} rounding, causing an approximately 6% chance for each point between 0.85 and 0.99, but only a 2.5% chance for the full damage.
<!--
Garchomp is up next. ''Garchomp used {{m|Earthquake}}!'' A physical {{t|Ground}} move at 100 base damage. With its Ice-type, Glaceon is weak to Garchomp's attack, so ''modifier'' = 2. Garchomp is dragon/'''ground''', so it receives STAB-bonus at ''stabbonus'' = 1.5. We insert the stats and values in the formula and get:
-->
<!--<math>
\text{damage}=\left(\tfrac{(2*78+10)*210*100}{250*181}+2\right)*2*1.5*\text{rand}=237.116*\text{rand}=201.5\,..\,237.1
</math>-->
<!--[[Image:Damageformula-example2.png]]-->


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