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Rephrase calculation section to call it 'diminishing returns' instead of 'multiplicative' and to clarify the way it diminishes |
→Calculation: rewrite to use https://www.mediawiki.org/wiki/Extension:Variables |
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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]] | [[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'''. | 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 == | == Calculation == | ||
<math>\text{ | === 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:''' | '''Example:''' | ||
With ''' | 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: | # 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 | # 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 == | == Sources of Ability Range == | ||
Latest revision as of 17:01, 10 September 2026
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
[edit | edit source]Calculating Ability Range
[edit | edit source]Multiple sources of Ability Range stack multiplicatively, not additively:
Example:
With 30% from 
Greater Expansion and 10% from 
Divine Barrier:
- Convert percentages to decimals: 30% to 0.3 and 10% to 0.1.
- Subtract from 1: (1 - 0.3) = 0.7 and (1 - 0.1) = 0.9.
- Multiply the differences: 0.7 × 0.9 = 0.63.
- Subtract from 1: 1 - 0.63 = 0.37.
- Total Ability Range bonus is 37%, not 40%.
Sources of Ability Range
[edit | edit source]This is a dynamic list "Ability Range". Edit contents.
| Name |  Cost | Category | Stat change |
|---|---|---|---|
 Ballistic Enchantment | 3,200 |  Weapon | +22% Ability Range |
 Cultist Sacrifice | 3,200 | Weapon | +12% Ability Range |
 Guardian Ward | 1,600 |  Vitality | +8% Ability Range |
 Healing Nova | 3,200 | Vitality | +5% Ability Range |
 Rescue Beam | 3,200 | Vitality | +6% Ability Range |
| Divine Barrier | 6,400 | Vitality | +10% Ability Range |
 Mystic Expansion | 800 |  Spirit | +20% Ability Range |
| Greater Expansion | 3,200 | Spirit | +30% Ability Range |
 Knockdown | 3,200 | Spirit | +5% Ability Range |
 Spirit Burn | 6,400 | Spirit | +6% Ability Range |
 Vortex Web | 6,400 | Spirit | +8% Ability Range |
 Mystic Conduit | Legendary | Spirit | +40% Ability Range |
Arcane Surge increases the range of the first ability you cast after dash jumping by 12%.- Mystic Expansion only increases the range of the imbued ability by 20%.
Trophy Collector increases ability range by 0.75% per stack (up to 16 maximum stacks)
