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[[File:Ability Range.png|thumb|[[Shiv]]'s Slice and Dice ability, improved by bonus [[Ability Range]] and [[Spirit Power]] stats.|class=notpageimage]]

[[Ability Range]] determines the effective distance and cast range of hero abilities and items. It is measured in a distance of meters, and stat gains are measured in percentages.

For example, [[Shiv]]'s '''Slice and Dice''' ability has a dash range of '''12 meters'''. Purchasing [[Mystic Expansion]] improves this by '''35%''', making the new effective dash range of the ability '''16.2 meters'''.

The range of [[Active Items]] does not consider height and their cast range is shaped like a cylinder. This means their range can be greater than expected when targeting heroes above or below the player.

== Calculation ==

=== Calculating Ability Range ===
Multiple sources of Ability Range stack '''multiplicatively''', not additively:

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

'''Example:'''
With '''{{ItemData|Greater Expansion|TechRangeMultiplier}}''' from {{ItemIcon|Greater Expansion}} and '''{{ItemData|Divine Barrier|TechRangeMultiplier}}''' from {{ItemIcon|Divine Barrier}}:
# Convert percentages to decimals: {{ItemData|Greater Expansion|TechRangeMultiplier}} to {{#expr: {{#replace: {{ItemData|Greater Expansion|TechRangeMultiplier}}|%|}} / 100}} and {{ItemData|Divine Barrier|TechRangeMultiplier}} to {{#expr: {{#replace: {{ItemData|Divine Barrier|TechRangeMultiplier}}|%|}} / 100}}.
# Subtract from 1: (1 - {{#expr: {{#replace: {{ItemData|Greater Expansion|TechRangeMultiplier}}|%|}} / 100}}) = '''{{#expr: 1 - {{#replace: {{ItemData|Greater Expansion|TechRangeMultiplier}}|%|}} / 100}}''' and (1 - {{#expr: {{#replace: {{ItemData|Divine Barrier|TechRangeMultiplier}}|%|}} / 100}}) = '''{{#expr: 1 - {{#replace: {{ItemData|Divine Barrier|TechRangeMultiplier}}|%|}} / 100}}'''.
# Multiply the differences: {{#expr: 1 - {{#replace: {{ItemData|Greater Expansion|TechRangeMultiplier}}|%|}} / 100}} × {{#expr: 1 - {{#replace: {{ItemData|Divine Barrier|TechRangeMultiplier}}|%|}} / 100}} = '''{{#expr: (1 - {{#replace: {{ItemData|Greater Expansion|TechRangeMultiplier}}|%|}} / 100) * (1 - {{#replace: {{ItemData|Divine Barrier|TechRangeMultiplier}}|%|}} / 100) round 4}}'''.
# Subtract from 1: 1 - {{#expr: (1 - {{#replace: {{ItemData|Greater Expansion|TechRangeMultiplier}}|%|}} / 100) * (1 - {{#replace: {{ItemData|Divine Barrier|TechRangeMultiplier}}|%|}} / 100) round 4}} = '''{{#expr: 1 - (1 - {{#replace: {{ItemData|Greater Expansion|TechRangeMultiplier}}|%|}} / 100) * (1 - {{#replace: {{ItemData|Divine Barrier|TechRangeMultiplier}}|%|}} / 100) round 4}}'''.
# Total Ability Range bonus is '''{{#expr: (1 - (1 - {{#replace: {{ItemData|Greater Expansion|TechRangeMultiplier}}|%|}} / 100) * (1 - {{#replace: {{ItemData|Divine Barrier|TechRangeMultiplier}}|%|}} / 100)) * 100}}%''', not {{#expr: {{#replace: {{ItemData|Greater Expansion|TechRangeMultiplier}}|%|}} + {{#replace: {{ItemData|Divine Barrier|TechRangeMultiplier}}|%|}} round 1}}%.

== Sources of Ability Range ==

{{Item stat table|Ability Range}}
* {{ItemIcon|Arcane Surge}} increases the range of the first ability you cast after [[Movement#Dash_Jump|dash jumping]] by {{#invoke:ItemData|get_prop|Arcane Surge|TechRangeMultiplierBuff}}.
* {{ItemIcon|Mystic Expansion}} only increases the range of the [[Imbue|imbued]] ability by {{#invoke:ItemData|get_prop|Mystic Expansion|TechRangeMultiplier}}.
* {{ItemIcon|Trophy Collector}} increases ability range by {{#invoke:ItemData|get_prop|Trophy Collector|StackingTechRangeMultiplier}} per stack (up to {{#invoke:ItemData|get_prop|Trophy Collector|MaxStacks}} maximum stacks)
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