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 Expansion]] improves this by '''35%''', making the new effective dash range of the ability '''16.2 meters'''.

~~Stacking sources~~ of ~~ability range increases is a '''Multiplicative''' effect. For example, having both~~ [[~~Greater Expansion~~]] ~~('''35%''')~~ and ~~[[Guardian Ward]] ('''10%''') will provide about '''42%''' 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.

1 - (1 - 0.35) * (1 - 0.1) = 0.~~415~~, ~~or 41.5~~% ~~increase in ability range~~.

== 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 ==

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 Expansion]] improves this by '''35%''', making the new effective dash range of the ability '''16.2 meters'''.
-Stacking sources of ability range increases is a '''Multiplicative''' effect. For example, having both [[Greater Expansion]] ('''35%''') and [[Guardian Ward]] ('''10%''') will provide about '''42%''' 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.
-- (1 - 0.35) * (1 - 0.1) = 0.415, or 41.5% increase in ability range.
+== 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 ==