Healing: Difference between revisions

(32 intermediate revisions by 14 users not shown)

Line 1:

'''Healing''' is the act of recovering a unit's current [[health]], which includes various methods such as ~~lifesteal~~, ~~health regen~~, and ~~item~~ effects.

'''Healing''' is the act of recovering a unit's current [[health]], which includes various methods such as [[Lifesteal]], [[Health Regen]], and [[Item]] effects.

== ~~Math~~ ==

== Overview ==

The ~~formula~~ for ~~healing~~ is:

The most reliable way for a player to heal themselves is by killing a [[Trooper|Medic Trooper]] and picking up their Medic Pack, or by going back to their team's base, which has a constant source of healing. Alternatively, they can buy Healing or [[Lifesteal]] items. Some heroes also have healing abilities. See a full list of healing sources below.

~~<math>\text{healing}_f = \text{healing}_i * \prod(1 - \text{healing}_{red} * b) * (1 + \text{healing}_{amp})</math> ~~

~~where <math>\text{healing}_f</math> is final healing~~, ~~<math>\text{healing}_i</math> is initial~~ healing, ~~<math>\text{~~healing~~}_{red}</math> is~~ healing ~~reduction amount, <math>b</math> is (1 -~~ healing ~~reduction resistance)~~, ~~and <math>\text{healing}_{amp}</math> is healing amp~~.

Besides direct healing, players passively recover health at all times through [[Health Regen]].

== Healing Amp ==

Healing Amp, also known as Healing Effectiveness, is a [[Stats|stat]] which increases the amount of healing a hero does with their [[abilities]] and [[items]]. This affects both healing to themselves and to their allies. Healing Amp affects healing-over-time buffs, such as [[Healing Rite]]'s active effect.

Healing Amp, also known as Healing Effectiveness, is a [[Stats|stat]] which increases the amount of healing a hero does with their [[abilities]] and [[items]]. This affects both healing to themselves and to their allies. Healing Amp affects healing-over-time buffs, such as {{ItemIcon|Healing Rite}}'s active effect.

This [[Stats|stat]] is represented as a percentage. For example, a 25% gain would increase a heal of 100 to 125.

== Healing Reduction ==

~~Health reduction~~ is a negative effect which reduces the effectiveness of healing on the unit it is applied to.

Healing Reduction is a negative effect which reduces the effectiveness of healing on the unit it is applied to.

Healing Reduction is represented as a percentage and stacks multiplicatively, meaning each additional source has diminishing returns.

If a player is hit by the same source of Healing Reduction before its effect has worn off (e.g. two or more enemy players with {{ItemIcon|Healbane}}), only the first source is applied.

== Calculation ==

=== Calculating Healing Reduction ===

Multiple sources of Healing Reduction stack '''multiplicatively''':

<math>\text{Total Reduction} = 1 - (1 - R_1) \times (1 - R_2) \dots</math>

'''Example:'''

If two sources of Healing Reduction are applied, one providing '''40%''' and another providing '''40%''':

# Convert percentages to decimals: 0.40 and 0.40.

# Subtract from 1: (1 - 0.40) = '''0.60''' and (1 - 0.40) = '''0.60'''.

# Multiply the remainders: 0.60 × 0.60 = '''0.36'''.

# Subtract from 1: 1 - 0.36 = '''0.64'''.

# Total Healing Reduction is '''64%''', not 80%.

Healing ~~reduction is represented as a percentage and stacks multiplicatively. For example, two different sources of 40% healing reduction would result in a total reduction of 64% to incoming heals.~~

=== Calculating Final Healing ===

If a ~~player is hit by the same source of healing reduction before its effect~~ has ~~worn off~~ (e.g. ~~two or more enemy players with Healbane~~), ~~only~~ the ~~first source is applied~~.

<math>\text{Final Healing} = \text{Initial Healing} \times (1 - \text{Total Reduction}) \times (1 + \text{Healing Amp})</math>

'''Example:'''

A heal of '''200 HP''' is applied to a target with '''64%''' Total Healing Reduction. The healer has '''25%''' Healing Amp.

# Apply Reduction: 200 × (1 - 0.64) = 200 × 0.36 = '''72 HP'''.

# Apply Amp: 72 × (1 + 0.25) = 72 × 1.25 = '''90 HP'''.

# Final Healing received is '''90 HP'''.

Note: Healing from self-damage sources such as {{HeroIcon|Victor}}'s {{AbilityIcon|Pain Battery}} and {{AbilityIcon|Aura of Suffering}} does not appear in the endgame hero stats screen, but it does appear in the healing sources graph.

== Sources of direct healing ==

Killing a [[Trooper|Medic Trooper]] drops a Medic Pack that heals nearby players based on the following formula:

''Heal = ({{MiscData|medic_trooper_aoe_health_pickup_amber|MissingPctRegen|Base}}% of hero's missing [[Health|HP]] + {{MiscData|medic_trooper_aoe_health_pickup_amber|RegenFixed|Base}} HP + {{MiscData|medic_trooper_aoe_health_pickup_amber|RegenFixed|PerMinuteAfterStart}} HP per minute) / Number of nearby heroes''

The team's base heals players by increasing their [[Health Regen]] to {{DataProp|Convar|citadel_player_regen_zone_bonus_pct}}% of their maximum [[health]] per second plus {{DataProp|Convar|citadel_player_regen_zone_bonus_base}} health per second.

=== Heroes ===

~~{| class="wikitable sortable"~~

~~|+ List of heroes~~

~~! Name !! Ability !! Healing amount !! Duration~~

|-

~~| {{HeroIcon|Dynamo}} || {{AbilityIcon|Rejuvenating Aurora}} || 32/s health restored || 5s~~

|-

~~| {{HeroIcon|Ivy}} || {{AbilityIcon|Watcher's Covenant}} || 30% Replicated Healing || 12s~~

|-

~~| {{HeroIcon|Kelvin}} ||~~ {{~~AbilityIcon~~|~~Frost Grenade~~}~~} (T2) || 125 HP || -~~

|}

=== Items ===

{| class="wikitable sortable"

|+ List of items

! Name !! {{Souls}} Cost !! Category !! Healing amount

|-

| {{ItemIcon|Restorative Shot}} || ~~800~~ || Weapon || 40 Healing From Heroes 15 Healing From NPCs

| {{ItemIcon|Restorative Shot}} || {{#invoke:ItemData|get_cost|Restorative Shot}} || Weapon || {{#invoke:ItemData|get_prop|Restorative Shot|HealFromHero}} Healing From Heroes {{#invoke:ItemData|get_prop|Restorative Shot|HealFromNPC}} Healing From NPCs

|-

| {{ItemIcon|Headhunter}} || ~~3,200~~ || Weapon || 8% Heal Per Headshot

| {{ItemIcon|Headhunter}} || {{#invoke:ItemData|get_cost|Headhunter}} || Weapon || {{#invoke:ItemData|get_prop|Headhunter|HealPercentPerHeadshot}} Heal Per Headshot

|-

| {{ItemIcon|Healing Rite}} || ~~800~~ || Vitality || ~~370~~ Total HP Regen

| {{ItemIcon|Healing Rite}} || {{#invoke:ItemData|get_cost|Healing Rite}} || Vitality || {{#invoke:ItemData|get_prop|Healing Rite|TotalHealthRegen}} Total HP Regen

|-

| {{ItemIcon|~~Healbane~~}} || ~~1,600~~ || Vitality || ~~350~~ Heal ~~On Hero Kill~~

| {{ItemIcon|Melee Lifesteal}} || {{#invoke:ItemData|get_cost|Melee Lifesteal}} || Vitality || {{#invoke:ItemData|get_prop|Melee Lifesteal|LifestrikeHeal}} Heal on Melee Hit ({{#invoke:ItemData|get_prop|Melee Lifesteal|NonHeroHealPct}} on NPCs)

|-

| {{ItemIcon|~~Healing Nova~~}} || ~~3,200~~ || Vitality || ~~260 Total HP Regen~~

| {{ItemIcon|Healbane}} || {{#invoke:ItemData|get_cost|Healbane}} || Vitality || {{#invoke:ItemData|get_prop|Healbane|HealOnKill}} Heal On Hero Kill

|-

| {{ItemIcon|Restorative Locket}} || ~~1,600~~ || Vitality || 35 Heal Per Stack

| {{ItemIcon|Restorative Locket}} || {{#invoke:ItemData|get_cost|Restorative Locket}} || Vitality || {{#invoke:ItemData|get_prop|Restorative Locket|HealPerStack}} Heal Per Stack

|-

| {{ItemIcon|~~Rescue Beam~~}} || ~~3,200~~ || Vitality || ~~26% Heal Amount~~

| {{ItemIcon|Healing Nova}} || {{#invoke:ItemData|get_cost|Healing Nova}} || Vitality || {{#invoke:ItemData|get_prop|Healing Nova|TotalHealthRegen}} Total HP Regen

|-

| {{ItemIcon|Siphon Bullets}} || ~~6,400~~ || Vitality ||55 Max HP Steal Per Bullet

| {{ItemIcon|Lifestrike}} || {{#invoke:ItemData|get_cost|Lifestrike}} || Vitality || {{#invoke:ItemData|get_prop|Lifestrike|LifestealHeal}} Heal on Melee Hit, plus {{#invoke:ItemData|get_prop|Lifestrike|LifestealHealPercent}} Lifesteal ({{#invoke:ItemData|get_prop|Lifestrike|NonHeroHealPct}} on NPCs)

|-

| {{ItemIcon|Rescue Beam}} || {{#invoke:ItemData|get_cost|Rescue Beam}} || Vitality || {{#invoke:ItemData|get_prop|Rescue Beam|HealPercentAmount}} Heal Amount

|-

| {{ItemIcon|Siphon Bullets}} || {{#invoke:ItemData|get_cost|Siphon Bullets}} || Vitality ||{{#invoke:ItemData|get_prop|Siphon Bullets|HealthSteal}} Max HP Steal Per Bullet

|-

| {{ItemIcon|Radiant Regeneration}} || {{#invoke:ItemData|get_cost|Radiant Regeneration}} || Spirit ||{{#invoke:ItemData|get_prop|Radiant Regeneration|HealingPerCast}} Heal on Ability Cast

|}

== Sources of healing reduction ==

=== Heroes ===

~~{| class="wikitable sortable"~~

~~|+ List of heroes~~

~~! Name !! Ability !! Healing reduction~~

|-

~~| {{HeroIcon|Infernus}} || {{AbilityIcon|Napalm}} (T3) || -33% Healing Reduction~~

|-

~~|{{HeroIcon|Pocket}}~~

~~|{{AbilityIcon|Affliction}} (T2)~~

~~| -40% Healing Reduction~~

|-

~~|{{HeroIcon|Vyper}}~~

|{{~~AbilityIcon~~|~~Lethal Venom}~~} ~~(T2)~~

~~| -40% Healing Reduction~~

|}

=== Items ===

* {{ItemIcon|~~Blood Tribute~~}} ~~and~~ {{~~ItemIcon~~|Cheat Death}} ~~apply~~ healing reduction to ~~their~~ user.

* {{ItemIcon|Cheat Death}} applies '''{{#invoke:ItemData|get_prop|Cheat Death|HealAmpReceivePenaltyPercent}}''' healing reduction to its user for {{#invoke:ItemData|get_prop|Cheat Death|DeathImmunityDuration}} seconds (the same duration as the invulnerability).

== See also ==

Healing: Difference between revisionsGive feedback

Gammaton32 (talk | contribs)

@@ Line 1: / Line 1: @@
-'''Healing''' is the act of recovering a unit's current [[health]], which includes various methods such as lifesteal, health regen, and item effects.
+'''Healing''' is the act of recovering a unit's current [[health]], which includes various methods such as [[Lifesteal]], [[Health Regen]], and [[Item]] effects.
-== Math ==
+== Overview ==
-The formula for healing is:
+The most reliable way for a player to heal themselves is by killing a [[Trooper|Medic Trooper]] and picking up their Medic Pack, or by going back to their team's base, which has a constant source of healing. Alternatively, they can buy Healing or [[Lifesteal]] items. Some heroes also have healing abilities. See a full list of healing sources below.
-<math>\text{healing}_f = \text{healing}_i * \prod(1 - \text{healing}_{red} * b) * (1 + \text{healing}_{amp})</math><br/>
-where <math>\text{healing}_f</math> is final healing, <math>\text{healing}_i</math> is initial healing, <math>\text{healing}_{red}</math> is healing reduction amount, <math>b</math> is (1 - healing reduction resistance), and <math>\text{healing}_{amp}</math> is healing amp.
+Besides direct healing, players passively recover health at all times through [[Health Regen]].
 == Healing Amp ==
-Healing Amp, also known as Healing Effectiveness, is a [[Stats|stat]] which increases the amount of healing a hero does with their [[abilities]] and [[items]]. This affects both healing to themselves and to their allies. Healing Amp affects healing-over-time buffs, such as [[Healing Rite]]'s active effect.
+Healing Amp, also known as Healing Effectiveness, is a [[Stats|stat]] which increases the amount of healing a hero does with their [[abilities]] and [[items]]. This affects both healing to themselves and to their allies. Healing Amp affects healing-over-time buffs, such as {{ItemIcon|Healing Rite}}'s active effect.
 This [[Stats|stat]] is represented as a percentage. For example, a 25% gain would increase a heal of 100 to 125.
 == Healing Reduction ==
-Health reduction is a negative effect which reduces the effectiveness of healing on the unit it is applied to.
+Healing Reduction is a negative effect which reduces the effectiveness of healing on the unit it is applied to.
+Healing Reduction is represented as a percentage and stacks multiplicatively, meaning each additional source has diminishing returns.
+If a player is hit by the same source of Healing Reduction before its effect has worn off (e.g. two or more enemy players with {{ItemIcon|Healbane}}), only the first source is applied.
+== Calculation ==
+=== Calculating Healing Reduction ===
+Multiple sources of Healing Reduction stack '''multiplicatively''':
+<math>\text{Total Reduction} = 1 - (1 - R_1) \times (1 - R_2) \dots</math>
+'''Example:'''
+If two sources of Healing Reduction are applied, one providing '''40%''' and another providing '''40%''':
+# Convert percentages to decimals: 0.40 and 0.40.
+# Subtract from 1: (1 - 0.40) = '''0.60''' and (1 - 0.40) = '''0.60'''.
+# Multiply the remainders: 0.60 × 0.60 = '''0.36'''.
+# Subtract from 1: 1 - 0.36 = '''0.64'''.
+# Total Healing Reduction is '''64%''', not 80%.
-Healing reduction is represented as a percentage and stacks multiplicatively. For example, two different sources of 40% healing reduction would result in a total reduction of 64% to incoming heals.
+=== Calculating Final Healing ===
-If a player is hit by the same source of healing reduction before its effect has worn off (e.g. two or more enemy players with Healbane), only the first source is applied.
+<math>\text{Final Healing} = \text{Initial Healing} \times (1 - \text{Total Reduction}) \times (1 + \text{Healing Amp})</math>
+'''Example:'''
+A heal of '''200 HP''' is applied to a target with '''64%''' Total Healing Reduction. The healer has '''25%''' Healing Amp.
+# Apply Reduction: 200 × (1 - 0.64) = 200 × 0.36 = '''72 HP'''.
+# Apply Amp: 72 × (1 + 0.25) = 72 × 1.25 = '''90 HP'''.
+# Final Healing received is '''90 HP'''.
+Note: Healing from self-damage sources such as {{HeroIcon|Victor}}'s {{AbilityIcon|Pain Battery}} and {{AbilityIcon|Aura of Suffering}} does not appear in the endgame hero stats screen, but it does appear in the healing sources graph.
 == Sources of direct healing ==
+Killing a [[Trooper|Medic Trooper]] drops a Medic Pack that heals nearby players based on the following formula:
+''Heal = ({{MiscData|medic_trooper_aoe_health_pickup_amber|MissingPctRegen|Base}}% of hero's missing [[Health|HP]] + {{MiscData|medic_trooper_aoe_health_pickup_amber|RegenFixed|Base}} HP + {{MiscData|medic_trooper_aoe_health_pickup_amber|RegenFixed|PerMinuteAfterStart}} HP per minute) / Number of nearby heroes''
+The team's base heals players by increasing their [[Health Regen]] to {{DataProp|Convar|citadel_player_regen_zone_bonus_pct}}% of their maximum [[health]] per second plus {{DataProp|Convar|citadel_player_regen_zone_bonus_base}} health per second.
 === Heroes ===
-{| class="wikitable sortable"
-|+ List of heroes
+{{AbilityTable|heal}}
-! Name !! Ability !! Healing amount !! Duration
-|-
-| {{HeroIcon|Dynamo}} || {{AbilityIcon|Rejuvenating Aurora}} || 32/s health restored || 5s
-|-
-| {{HeroIcon|Ivy}} || {{AbilityIcon|Watcher's Covenant}} || 30% Replicated Healing || 12s
-|-
-| {{HeroIcon|Kelvin}} || {{AbilityIcon|Frost Grenade}} (T2) || 125 HP || -
-|}
 === Items ===
 {| class="wikitable sortable"
 |+ List of items
 ! Name !! {{Souls}} Cost !! Category !! Healing amount
 |-
-| {{ItemIcon|Restorative Shot}} || 800 || Weapon || 40 Healing From Heroes<br/>15 Healing From NPCs
+| {{ItemIcon|Restorative Shot}} || {{#invoke:ItemData|get_cost|Restorative Shot}} || Weapon || {{#invoke:ItemData|get_prop|Restorative Shot|HealFromHero}} Healing From Heroes<br/>{{#invoke:ItemData|get_prop|Restorative Shot|HealFromNPC}} Healing From NPCs
 |-
-| {{ItemIcon|Headhunter}} || 3,200 || Weapon || 8% Heal Per Headshot
+| {{ItemIcon|Headhunter}} || {{#invoke:ItemData|get_cost|Headhunter}} || Weapon || {{#invoke:ItemData|get_prop|Headhunter|HealPercentPerHeadshot}} Heal Per Headshot
 |-
-| {{ItemIcon|Healing Rite}} || 800 || Vitality || 370 Total HP Regen
+| {{ItemIcon|Healing Rite}} || {{#invoke:ItemData|get_cost|Healing Rite}} || Vitality || {{#invoke:ItemData|get_prop|Healing Rite|TotalHealthRegen}} Total HP Regen
 |-
-| {{ItemIcon|Healbane}} || 1,600 || Vitality || 350 Heal On Hero Kill
+| {{ItemIcon|Melee Lifesteal}} || {{#invoke:ItemData|get_cost|Melee Lifesteal}} || Vitality || {{#invoke:ItemData|get_prop|Melee Lifesteal|LifestrikeHeal}} Heal on Melee Hit ({{#invoke:ItemData|get_prop|Melee Lifesteal|NonHeroHealPct}} on NPCs)
 |-
-| {{ItemIcon|Healing Nova}} || 3,200 || Vitality || 260 Total HP Regen
+| {{ItemIcon|Healbane}} || {{#invoke:ItemData|get_cost|Healbane}} || Vitality || {{#invoke:ItemData|get_prop|Healbane|HealOnKill}} Heal On Hero Kill
 |-
-| {{ItemIcon|Restorative Locket}} || 1,600 || Vitality || 35 Heal Per Stack
+| {{ItemIcon|Restorative Locket}} || {{#invoke:ItemData|get_cost|Restorative Locket}} || Vitality || {{#invoke:ItemData|get_prop|Restorative Locket|HealPerStack}} Heal Per Stack
 |-
-| {{ItemIcon|Rescue Beam}} || 3,200 || Vitality || 26% Heal Amount
+| {{ItemIcon|Healing Nova}} || {{#invoke:ItemData|get_cost|Healing Nova}} || Vitality || {{#invoke:ItemData|get_prop|Healing Nova|TotalHealthRegen}} Total HP Regen
 |-
-| {{ItemIcon|Siphon Bullets}} || 6,400 || Vitality ||55 Max HP Steal Per Bullet
+| {{ItemIcon|Lifestrike}} || {{#invoke:ItemData|get_cost|Lifestrike}} || Vitality || {{#invoke:ItemData|get_prop|Lifestrike|LifestealHeal}} Heal on Melee Hit, plus {{#invoke:ItemData|get_prop|Lifestrike|LifestealHealPercent}} Lifesteal ({{#invoke:ItemData|get_prop|Lifestrike|NonHeroHealPct}} on NPCs)
+|-
+| {{ItemIcon|Rescue Beam}} || {{#invoke:ItemData|get_cost|Rescue Beam}} || Vitality || {{#invoke:ItemData|get_prop|Rescue Beam|HealPercentAmount}} Heal Amount
+|-
+| {{ItemIcon|Siphon Bullets}} || {{#invoke:ItemData|get_cost|Siphon Bullets}} || Vitality ||{{#invoke:ItemData|get_prop|Siphon Bullets|HealthSteal}} Max HP Steal Per Bullet
+|-
+| {{ItemIcon|Radiant Regeneration}} || {{#invoke:ItemData|get_cost|Radiant Regeneration}} || Spirit ||{{#invoke:ItemData|get_prop|Radiant Regeneration|HealingPerCast}} Heal on Ability Cast
 |}
 == Sources of healing reduction ==
 === Heroes ===
-{| class="wikitable sortable"
-|+ List of heroes
+{{AbilityTable|healreduce}}
-! Name !! Ability !! Healing reduction
-|-
-| {{HeroIcon|Infernus}} || {{AbilityIcon|Napalm}} (T3) || -<b>33</b>% Healing Reduction
-|-
-|{{HeroIcon|Pocket}}
-|{{AbilityIcon|Affliction}} (T2)
-| -<b>40</b>% Healing Reduction
-|-
-|{{HeroIcon|Vyper}}
-|{{AbilityIcon|Lethal Venom}} (T2)
-| -<b>40</b>% Healing Reduction
-|}
 === Items ===
 {{Item stat table|Healing Reduction}}
-* {{ItemIcon|Blood Tribute}} and {{ItemIcon|Cheat Death}} apply healing reduction to their user.
+* {{ItemIcon|Cheat Death}} applies '''{{#invoke:ItemData|get_prop|Cheat Death|HealAmpReceivePenaltyPercent}}''' healing reduction to its user for {{#invoke:ItemData|get_prop|Cheat Death|DeathImmunityDuration}} seconds (the same duration as the invulnerability).
 == See also ==