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<!-- Need to add info from the video -->'''Damage Amplification''' or '''Damage Amp''' is a stat that multiplies the damage caused by the player to affected enemies and NPCs.

{{#ev:youtube|apzBQPZyW_w|360|description=Video explaining Damage Amplification}}

== Damage Reduction ==

'''Damage Reduction''' is a negative form of Damage Amplification, that reduces the damage output of enemies or its user.

== Calculation ==
Multiple sources of abilities and items that display damage amplification percentages (e.g., +20% Damage), do not simply add together. Instead, they stack '''multiplicatively''', '''augmented'''.

Multiple sources of abilities and items that display damage reduction percentages (e.g., -30% Damage),  simply '''add''' together. (Though I believe this is a bug.)

=== Calculating Damage Amplification ===
To find your '''amplification''', use the following formula:

<math>\text{Amplification} = (1 + \text{A}_1) \times (1 + \text{A}_2) \times ...</math>

'''Example:''' 

# {{HeroIcon|Drifter}} deals a base bullet damage of '''41'''.
# {{HeroIcon|Drifter}}'s base {{AbilityIcon|Bloodscent}} amplification of '''15%''' will increase his bullet damage from '''41''' to '''47''' (41 x 1.15 = 47.15, rounded down in game).
# {{HeroIcon|Ivy}} casts {{AbilityIcon|Air Drop}} on {{HeroIcon|Drifter}} to give him an additional '''20%''' amplification. 
# {{HeroIcon|Drifter}} now deals '''57''' bullet damage (41 x 1.15 x 1.20 = 56.58, rounded up in game).

=== Calculating Damage Reduction ===
Notice: While Valve has stated in the May 22nd patch that Damage Reduction stacks '''diminishingly''', this is not true. Damage Reduction still stacks '''additively'''. Unless there was a hidden patch note, it is safe to assume that this is a bug. This means that the current formula is:

<s><math>\text{Damage Reduction} = (\text{DR}_1) + (\text{DR}_2) +...</math></s>

'''Example:''' 

# {{HeroIcon|Drifter}} deals a base bullet damage of '''41'''.
# {{HeroIcon|Mirage}} casts base {{AbilityIcon|Fire Scarabs}} on {{HeroIcon|Drifter}}, reducing his damage by '''20%''', decreasing his bullet damage from '''41''' to '''33''' (41 x 0.8 = 32.8, rounded up in game).
# {{HeroIcon|Mirage}} now afflicts {{HeroIcon|Drifter}} with {{AbilityIcon|Inhibitor}}, reducing his damage by another '''30%'''.
# {{HeroIcon|Drifter}} now deals '''20''' bullet damage (41 x 0.5 = 20.5, rounded down in game).


(Wiki admins feel free to remove this but just in case this gets fixed I'll keep it up here.)

For now this is not true, but to find your '''damage reduction,''' use the following formula:

<s><math>\text{Damage Reduction} = 1 - (1 - \text{DR}_1) \times (1 - \text{DR}_2) \times ...</math></s> 
'''Example:''' 
# {{HeroIcon|Drifter}} deals a base gun damage of '''41'''.
# {{HeroIcon|Mirage}} casts base {{AbilityIcon|Fire Scarabs}} on {{HeroIcon|Drifter}}, reducing his damage by '''20%''', decreasing his bullet damage from '''41''' to '''33''' (41 x 0.8 = 32.8, rounded up in game).
# {{HeroIcon|Mirage}} now afflicts {{HeroIcon|Drifter}} with {{AbilityIcon|Inhibitor}}, reducing his damage by another '''30%'''.
# {{HeroIcon|Drifter}} now deals '''23''' bullet damage (41 x 0.56 = 22.96, rounded down in game).

=== Calculating Total Amplification ===
To find the total '''amplification''', use the following formula:

<s><math>\text{Total Amplification} = (\text{Base Damage} \times \text{Total A}) \times \text{Total DR}</math></s>
'''Example:''' 
# {{HeroIcon|Drifter}} deals a base gun damage of '''41'''.
# With {{AbilityIcon|Bloodscent}}, {{HeroIcon|Drifter}}'s gun damage is '''47''' with a '''15%''' increase.
# {{HeroIcon|Mirage}} now afflicts {{HeroIcon|Drifter}} with {{AbilityIcon|Inhibitor}} and {{AbilityIcon|Fire Scarabs}}, reducing his damage by '''50%'''.
# {{HeroIcon|Drifter}} now deals '''24''' bullet damage.

Notice: Additional Amplifications seem to interact weirdly with this formula, I assume it's wrong. Having the {{AbilityIcon|Air Drop}} on {{HeroIcon|Drifter}} alongside the debuffs from {{AbilityIcon|Fire Scarabs}} and {{AbilityIcon|Inhibitor}} make {{HeroIcon|Drifter}}'s bullet damage 33, which is actually a 42% decrease from the amplification. Would appreciate if someone could check into this.

== Sources of Damage Amplification ==
{{Correction|List may be outdated}}

=== Weapon and Spirit Amp ===
{| class="wikitable sortable"
|+List of heroes
!Hero
!Ability
!Tier
!Stat change
|-
| rowspan="2" |{{HeroIcon|Drifter}}
| rowspan="2" |{{AbilityIcon|Bloodscent}}
|0
|'''+{{#invoke:Abilities|get_ability_prop|Bloodscent|AmpDamagePercent}}%''' Damage Amp on Isolated Heroes
|-
|3
|'''+{{#invoke:Abilities|get_ability_upgrade_prop|Bloodscent|3|AmpDamagePercent}}%''' Damage Amp on Isolated Heroes
|-
| rowspan="2" |{{HeroIcon|Infernus}}
| rowspan="2" |{{AbilityIcon|Napalm}}
|0
|'''+{{#invoke:Abilities|get_ability_prop|Napalm|IncomingDamagePercentFromCaster}}%''' Damage Amp
|-
|3
|'''+{{#invoke:Abilities|get_ability_upgrade_prop|Napalm|3|IncomingDamagePercentFromCaster}}%''' Damage Amp
|-
|{{HeroIcon|Ivy}}
|{{AbilityIcon|Air Drop}}
|0
|'''+20%''' Damage Amp on Ivy and carried ally
|-
| rowspan="2" |{{HeroIcon|Lady Geist}}
| rowspan="2" |{{AbilityIcon|Malice}}
|0
|'''+{{#invoke:Abilities|get_ability_prop|Malice|VulnerabilityPerStack}}%''' Damage Amp per Stack
|-
|3
|'''+{{#invoke:Abilities|get_ability_upgrade_prop|Malice|3|VulnerabilityPerStack}}%''' Damage Amp per Stack
|-
|{{HeroIcon|McGinnis}}
|{{AbilityIcon|Spectral Wall}}
|1
|'''+{{#invoke:Abilities|get_ability_upgrade_prop|Spectral Wall|1|BonusDamagePercent}}%''' Damage Amp
|-
|{{HeroIcon|Mo & Krill}}
|{{AbilityIcon|Scorn}}
|3
|'''+{{#invoke:Abilities|get_ability_upgrade_prop|Scorn|3|DamageBonus}}%''' Damage Amp
|-
|{{HeroIcon|Paradox}}
|{{AbilityIcon|Pulse Grenade}}
|0
|'''+{{#invoke:Abilities|get_ability_prop|Pulse Grenade|DamageAmplificationPerStack}}%''' Damage Amp per Stack
|-
| rowspan="2" |{{HeroIcon|Pocket}}
| rowspan="2" |{{AbilityIcon|Barrage}}
|0
|'''+{{#invoke:Abilities|get_ability_prop|Barrage|AmpPercentPerStack}}%''' Damage Amp per Stack
|-
|3
|'''+{{#invoke:Abilities|get_ability_upgrade_prop|Barrage|3|AmpPercentPerStack}}%''' Damage Amp per Stack
|-
| rowspan="2" |{{HeroIcon|Shiv}}
| rowspan="2" |{{AbilityIcon|Killing Blow}}
|0
|'''+{{#invoke:Abilities|get_ability_prop|Killing Blow|BuffDamage}}%''' Damage Amp
|-
|2
|'''+{{#invoke:Abilities|get_ability_upgrade_prop|Killing Blow|2|BuffDamage}}%''' Damage Amp
|-
| rowspan="2" |{{HeroIcon|Sinclair}}
| rowspan="2" |{{AbilityIcon|Rabbit Hex}}
|0
|'''+{{#invoke:Abilities|get_ability_prop|ability_magician_animalhexarea|DamageAmpPercentage}}%''' Damage Amp
|-
|3
|'''+{{#invoke:Abilities|get_ability_upgrade_prop|ability_magician_animalhexarea|3|DamageAmpPercentage}}%''' Damage Amp
|-
|{{HeroIcon|Victor}}
|{{AbilityIcon|Aura of Suffering}}
|3
|'''+{{#invoke:Abilities|get_ability_upgrade_prop|Aura of Suffering|3|IncomingDamagePercent}}%''' Damage Amp
|}

=== Spirit Amp ===
{{Item stat table|Spirit Amp}}

== Sources of Damage Reduction ==

=== Weapon and Spirit Reduction ===
{| class="wikitable sortable"
|+List of heroes
!Hero
!Ability
!Tier
!Stat change
|-
| rowspan="2" |{{HeroIcon|Mirage}}
| rowspan="2" |{{AbilityIcon|Fire Scarabs}}
|0
|'''{{#invoke:Abilities|get_ability_prop|Fire Scarabs|OutgoingDamagePenaltyPercent}}%''' Damage Reduction
|-
|3
|'''{{#invoke:Abilities|get_ability_upgrade_prop|Fire Scarabs|3|OutgoingDamagePenaltyPercent}}%''' Damage Reduction
|}

{{Item stat table|Damage Reduction}}

* {{ItemIcon|Cheat Death}}, {{ItemIcon|Golden Goose Egg}} and {{ItemIcon|Cursed Relic}} reduce damage dealt by its user.

=== Spirit Reduction ===
{| class="wikitable sortable"
|+List of heroes
!Hero
!Ability
!Tier
!Stat change
|-
|{{HeroIcon|Infernus}}
|{{AbilityIcon|Afterburn}}
|2
|'''{{#invoke:Abilities|get_ability_upgrade_prop|Afterburn|2|OutgoingTechDamagePercent}}%''' Spirit Damage Reduction
|}
{{Item stat table|Spirit Damage Reduction}}
{{Stat navbox}}