Ability Range: Difference between revisions

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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. It is measured in a distance of meters, and stat gains are measured in percentages.

[[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 ~~Reach~~]] improves this by '''18%''', making the new effective dash range of the ability '''14.1 meters'''.

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'''.

~~Stacking sources~~ of ~~ability~~ range ~~increases~~ is an '''~~additive~~''' ~~effect. For example~~, ~~having both [[Improved Reach]]~~ ('''~~25%~~''') and [[Divine Barrier]] ('''8%''') ~~will provide a~~ '''33%''' ~~ability range boost~~.

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|{{#vardefineecho: Item1|Greater Expansion}}|TechRangeMultiplier}}''' from {{ItemIcon|Greater Expansion}} and '''{{ItemData|{{#vardefineecho: Item2|Divine Barrier}}|TechRangeMultiplier}}''' from {{ItemIcon|Divine Barrier}}:

# Convert percentages to decimals: {{ItemData|{{#var: Item1}}|TechRangeMultiplier}} to {{#vardefineecho: Item1Range|{{#expr: {{#replace: {{ItemData|{{#var: Item1}}|TechRangeMultiplier}}|%|}} / 100}}}} and {{ItemData|{{#var: Item2}}|TechRangeMultiplier}} to {{#vardefineecho: Item2Range|{{#expr: {{#replace: {{ItemData|{{#var: Item2}}|TechRangeMultiplier}}|%|}} / 100}}}}.

# Subtract from 1: (1 - {{#var: Item1Range}}) = '''{{#expr: 1 - {{#var: Item1Range}}}}''' and (1 - {{#var: Item2Range}}) = '''{{#expr: 1 - {{#var: Item2Range}}}}'''.

# Multiply the differences: {{#expr: 1 - {{#var: Item1Range}}}} × {{#expr: 1 - {{#var: Item2Range}}}} = '''{{#vardefineecho: CombinedItemRange|{{#expr: (1 - {{#var: Item1Range}}) * (1 - {{#var: Item2Range}}) round 4}}}}'''.

# Subtract from 1: 1 - {{#var: CombinedItemRange}} = '''{{#expr: 1 - {{#var: CombinedItemRange}} round 4}}'''.

# Total Ability Range bonus is '''{{#expr: (1 - {{#var: CombinedItemRange}}) * 100}}%''', not {{#expr: ({{#var: Item1Range}} + {{#var: Item2Range}}) * 100 round 1}}%.

== Sources of 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|~~Improved Reach~~}} increases the range of the [[Imbue|imbued]] ability by {{#invoke:ItemData|get_prop|~~Improved Reach~~|~~ImbuedTechRangeMultiplier~~}}~~% and of non-imbued abilities~~ by {{#invoke:ItemData|get_prop|~~Improved Reach~~|~~NonImbuedTechRangeMultiplier~~}}%.

* {{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)

Ability Range: Difference between revisionsGive feedback

~2026-LaneFireUrn1085 (talk)

@@ Line 1: / Line 1: @@
 [[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. It is measured in a distance of meters, and stat gains are measured in percentages.
+[[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 Reach]] improves this by '''18%''', making the new effective dash range of the ability '''14.1 meters'''.
+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'''.
-Stacking sources of ability range increases is an '''additive''' effect. For example, having both [[Improved Reach]] ('''25%''') and [[Divine Barrier]] ('''8%''') will provide a '''33%''' ability range boost.
+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|{{#vardefineecho: Item1|Greater Expansion}}|TechRangeMultiplier}}''' from {{ItemIcon|Greater Expansion}} and '''{{ItemData|{{#vardefineecho: Item2|Divine Barrier}}|TechRangeMultiplier}}''' from {{ItemIcon|Divine Barrier}}:
+# Convert percentages to decimals: {{ItemData|{{#var: Item1}}|TechRangeMultiplier}} to {{#vardefineecho: Item1Range|{{#expr: {{#replace: {{ItemData|{{#var: Item1}}|TechRangeMultiplier}}|%|}} / 100}}}} and {{ItemData|{{#var: Item2}}|TechRangeMultiplier}} to {{#vardefineecho: Item2Range|{{#expr: {{#replace: {{ItemData|{{#var: Item2}}|TechRangeMultiplier}}|%|}} / 100}}}}.
+# Subtract from 1: (1 - {{#var: Item1Range}}) = '''{{#expr: 1 - {{#var: Item1Range}}}}''' and (1 - {{#var: Item2Range}}) = '''{{#expr: 1 - {{#var: Item2Range}}}}'''.
+# Multiply the differences: {{#expr: 1 - {{#var: Item1Range}}}} × {{#expr: 1 - {{#var: Item2Range}}}} = '''{{#vardefineecho: CombinedItemRange|{{#expr: (1 - {{#var: Item1Range}}) * (1 - {{#var: Item2Range}}) round 4}}}}'''.
+# Subtract from 1: 1 - {{#var: CombinedItemRange}} = '''{{#expr: 1 - {{#var: CombinedItemRange}} round 4}}'''.
+# Total Ability Range bonus is '''{{#expr: (1 - {{#var: CombinedItemRange}}) * 100}}%''', not {{#expr: ({{#var: Item1Range}} + {{#var: Item2Range}}) * 100 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|Improved Reach}} increases the range of the [[Imbue|imbued]] ability by {{#invoke:ItemData|get_prop|Improved Reach|ImbuedTechRangeMultiplier}}% and of non-imbued abilities by {{#invoke:ItemData|get_prop|Improved Reach|NonImbuedTechRangeMultiplier}}%.
+* {{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)
+{{Stat navbox}}