Fire Rate: Difference between revisions

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The inverse of this is called ''gun cycle time'', which instead measures '''seconds per bullet'''.

== Math ==

The final Fire Rate change is calculated with separate rules for bonuses and slows: positive bonuses (buffs) are additive, while negative bonuses (slows) are multiplicative.

It is important to note that the total change to Fire Rate cannot be reduced below '''-50%'''. Any calculated value lower than this will be capped at -50%.

The overall formula is: <math>\text{Fire Rate Modifier} = (\text{All Bonuses Added}) - \left(1 - \prod (1 - \text{Slows})\right)</math>

Where:

* '''All Bonuses Added''' = Bonus1 + Bonus2 + ... (e.g., 0.25 + 0.20 = 0.45)

* <math>\prod (1 - \text{Slows})</math> is the product of the remainders for each individual '''Fire Rate Slow''' (e.g., (1 - 0.25) * (1 - 0.35))

=== Examples ===

==== Combined Bonuses and Slows ====

For an example with multiple sources:

* '''+25%''' Fire Rate from {{ItemIcon|Ricochet}}

* '''+20%''' Fire Rate from {{ItemIcon|Swift Striker}}

* '''-25%''' Fire Rate Slow from {{HeroIcon|Sinclair}}'s {{AbilityIcon|Vexing Bolt}}

* '''-35%''' Fire Rate Slow from an enemy's {{ItemIcon|Suppressor}}

The calculation combines the additive bonuses with the multiplicative slows:

<math>(0.25 + 0.20) - (1 - (1 - 0.25) \times (1 - 0.35))</math> <br>

This results in a '''-6.25%''' final change. The in-game UI typically rounds this value to the nearest whole number, displaying '''-6%'''.

==== Maximum Slow Reduction ====

For an example with only slows applied:

* No positive Fire Rate bonuses

* '''-25%''' Fire Rate Slow from {{HeroIcon|Sinclair}}'s {{AbilityIcon|Vexing Bolt}}

* '''-35%''' Fire Rate Slow from an enemy's {{ItemIcon|Suppressor}}

The calculation is: <br>

<math>0 - (1 - (1 - 0.25) \times (1 - 0.35)) = -0.5125</math>

This results in a calculated slow of '''-51.25%'''. Due to the cap, this value is raised to the maximum reduction of '''-50%'''.

== Base Fire Rate ==

Values referenced from [[Hero Comparison]].

== Sources ==

=== Fire Rate ===

* {{ItemIcon|Burst Fire}} additionally increases Fire Rate by +{{#invoke:ItemData|get_prop|Burst Fire|ActivatedFireRate}}% for {{#invoke:ItemData|get_prop|Burst Fire|AbilityDuration}} seconds after hitting an enemy hero.

* {{ItemIcon|Heroic Aura}} increases Fire Rate by +{{#expr:2*({{#invoke:ItemData|get_prop|Heroic Aura|BonusFireRate}})}}% to nearby player minions in a {{#invoke:ItemData|get_prop|Heroic Aura|ActiveRadius}} radius.

=== Fire Rate Slow ===

Fire Rate: Difference between revisionsGive feedback

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 The inverse of this is called ''gun cycle time'', which instead measures '''seconds per bullet'''.
+== Math ==
+The final Fire Rate change is calculated with separate rules for bonuses and slows: positive bonuses (buffs) are additive, while negative bonuses (slows) are multiplicative.
+It is important to note that the total change to Fire Rate cannot be reduced below '''-50%'''. Any calculated value lower than this will be capped at -50%.
+The overall formula is: <math>\text{Fire Rate Modifier} = (\text{All Bonuses Added}) - \left(1 - \prod (1 - \text{Slows})\right)</math>
+Where:
+* '''All Bonuses Added''' = Bonus1 + Bonus2 + ... (e.g., 0.25 + 0.20 = 0.45)
+* <math>\prod (1 - \text{Slows})</math> is the product of the remainders for each individual '''Fire Rate Slow''' (e.g., (1 - 0.25) * (1 - 0.35))
+=== Examples ===
+==== Combined Bonuses and Slows ====
+For an example with multiple sources:
+* '''+25%''' Fire Rate from {{ItemIcon|Ricochet}}
+* '''+20%''' Fire Rate from {{ItemIcon|Swift Striker}}
+* '''-25%''' Fire Rate Slow from {{HeroIcon|Sinclair}}'s {{AbilityIcon|Vexing Bolt}}
+* '''-35%''' Fire Rate Slow from an enemy's {{ItemIcon|Suppressor}}
+The calculation combines the additive bonuses with the multiplicative slows:
+<math>(0.25 + 0.20) - (1 - (1 - 0.25) \times (1 - 0.35))</math> <br>
+<math>= 0.45 - (1 - 0.4875)</math> <br>
+<math>= 0.45 - 0.5125 = -0.0625</math>
+This results in a '''-6.25%''' final change. The in-game UI typically rounds this value to the nearest whole number, displaying '''-6%'''.
+==== Maximum Slow Reduction ====
+For an example with only slows applied:
+* No positive Fire Rate bonuses
+* '''-25%''' Fire Rate Slow from {{HeroIcon|Sinclair}}'s {{AbilityIcon|Vexing Bolt}}
+* '''-35%''' Fire Rate Slow from an enemy's {{ItemIcon|Suppressor}}
+The calculation is: <br>
+<math>0 - (1 - (1 - 0.25) \times (1 - 0.35)) = -0.5125</math>
+This results in a calculated slow of '''-51.25%'''. Due to the cap, this value is raised to the maximum reduction of '''-50%'''.
 == Base Fire Rate ==
 Values referenced from [[Hero Comparison]].
 {{#invoke:HeroDataArrays|heroRoundsPerSecondTable}}
 == Sources ==
 === Fire Rate ===
 {{Item stat table|Fire Rate}}
 * {{ItemIcon|Burst Fire}} additionally increases Fire Rate by +{{#invoke:ItemData|get_prop|Burst Fire|ActivatedFireRate}}% for {{#invoke:ItemData|get_prop|Burst Fire|AbilityDuration}} seconds after hitting an enemy hero.
 * {{ItemIcon|Heroic Aura}} increases Fire Rate by +{{#expr:2*({{#invoke:ItemData|get_prop|Heroic Aura|BonusFireRate}})}}% to nearby player minions in a {{#invoke:ItemData|get_prop|Heroic Aura|ActiveRadius}} radius.
 === Fire Rate Slow ===
 {{Item stat table|Fire Rate Slow}}