Restoration manipulation

Health

 

Mana

 

Health regeneration

 

Mana regeneration

 

Lifesteal

 

Spell lifesteal

 

Restoration manipulation

 

Restoration manipulation refers to any form of amplification and reduction applied to health restoration (also known as heals), lifesteal, health regeneration, mana restoration, and mana regeneration.

Heal manipulation

Heal manipulation affects every ability that heals a unit. A list of healing abilities can be found here.

All sources of heal manipulation whether incoming or outgoing stack diminishingly with each other. Heal manipulation has a lower limit of -100%.

The following abilities provide heal manipulation

• Chen - Divine Favor
  
  Heal amplification: 6%/10%/14%/18%
  Aura, affects all nearby allies.
• Eye of Skadi - Cold Attack
  
  Heal reduction: 40%
  Affects the attacked enemy.
• Holy Locket - Holy Blessing
  
  Heal amplification: 35%
  Amplifies all healing the item owner provides.
• Necrophos - Ghost Shroud
  
  Heal amplification: 75%
  Affects the caster.
• Paladin Sword - Greater Healing
  
  Heal amplification: 14%
  Amplifies all healing the item owner provides.
• Shiva's Guard - Freezing Aura
  
  Heal reduction: 25%
  Aura, affects all nearby enemies.
• Spirit Vessel - Soul Release
  
  Heal reduction: 45%
  Affects the targeted enemy.
• Treant Protector - Nature's Guise
  
  Heal amplification: 40%
  Passive.

Lifesteal manipulation

Lifesteal manipulation affects every ability that has lifesteal. This does not include spell lifesteal. A list of lifesteal abilities can be found here.

All sources of lifesteal manipulation stack diminishingly with each other. Lifesteal manipulation has a lower limit of -100%.

The following abilities provide lifesteal manipulation

• Eye of Skadi - Cold Attack
  
  Lifesteal reduction: 40%
  Affects the attacked enemy.
• Heaven's Halberd
  
  Lifesteal amplification: 30%
  Affects the item owner.
• Kaya and Sange
  
  Lifesteal amplification: 30%
  Affects the item owner.
• Paladin Sword
  
  Lifesteal amplification: 14%
  Affects the item owner.
• Sange
  
  Lifesteal amplification: 24%
  Affects the item owner.
• Sange and Yasha
  
  Lifesteal amplification: 30%
  Affects the item owner.
• Shiva's Guard - Freezing Aura
  
  Lifesteal reduction: 25%
  Aura, affects all nearby enemies.
• Spirit Vessel - Soul Release
  
  Lifesteal reduction: 45%
  Affects the targeted enemy.

Spell lifesteal manipulation

Spell lifesteal manipulation affects every ability that has spell lifesteal. This does not include regular lifesteal. A list of spell lifesteal abilities can be found here.

All sources of spell lifesteal manipulation stack diminishingly with each other. Spell lifesteal manipulation has a lower limit of -100%.

The following abilities provide spell lifesteal manipulation

• Eye of Skadi - Cold Attack
  
  Spell lifesteal reduction: 40%
  Affects the attacked enemy.
• Kaya
  
  Spell lifesteal amplification: 24%
  Affects the item owner.
• Kaya and Sange
  
  Spell lifesteal amplification: 30%
  Affects the item owner.
• Paladin Sword
  
  Spell lifesteal amplification: 14%
  Affects the item owner.
• Shiva's Guard - Freezing Aura
  
  Spell lifesteal reduction: 25%
  Aura, affects all nearby enemies.
• Spirit Vessel - Soul Release
  
  Spell lifesteal reduction: 45%
  Affects the targeted enemy.
• Yasha and Kaya
  
  Spell lifesteal amplification: 30%
  Affects the item owner.

Health regen manipulation

Health regen manipulation affects explicitly the health regen value of affected units.

All sources of health regen manipulation stack diminishingly with each other. Health regen manipulation has a lower limit of -100%.

The following abilities provide health regen manipulation

• Chen - Divine Favor
  
  Health regen amplification: 6%/10%/14%/18%
  Aura, affects all nearby allies.
• Eye of Skadi - Cold Attack
  
  Health regen reduction: 40%
  Affects the attacked enemy.
• Heaven's Halberd
  
  Health regen amplification: 24%
  Affects the item owner.
• Kaya and Sange
  
  Health regen amplification: 30%
  Affects the item owner.
• Necrophos - Heartstopper Aura
  
  Health regen reduction: 0% ( 32%)
  Aura, affects all nearby enemies.
• Necrophos - Ghost Shroud
  
  Health regen amplification: 75%
  Affects the caster.
• Paladin Sword
  
  Health regen amplification: 14%
  Affects the item owner.
• Sange
  
  Health regen amplification: 24%
  Affects the item owner.
• Sange and Yasha
  
  Health regen amplification: 30%
  Affects the item owner.
• Shiva's Guard - Freezing Aura
  
  Health regen reduction: 25%
  Aura, affects all nearby enemies.
• Spirit Vessel - Soul Release
  
  Health regen reduction: 45%
  Affects the targeted enemy.
• Treant Protector - Nature's Guise
  
  Health regen amplification: 40%
  Passive.
• Vhoul Assassin - Envenomed Weapon
  
  Health regen reduction: 35%
  Affects the attacked enemy.

Stacking

Heal, health regeneration, lifesteal, and spell lifesteal amplifications stack diminishingly, so do reductions. However, amplifications and reductions are calculated separately, and then the sum of reductions gets subtracted from the sum of the amplifications.

The total restoration manipulation is defined as

$\sum _{RestorationManipulator}={\Big (}1-\displaystyle \prod _{i=1}^{n}(1-a_{i}){\Big )}-{\Big (}1-\displaystyle \prod _{i=1}^{n}(1-r_{i}){\Big )}$

With a being the index of any amplification, r being the index of any reduction. There cannot be no amplification or no reduction, use 0 as a value in those cases.

${\text{RestorationManipulator}}={\Big (}1-(1-Amplification_{1})\times (1-Amplification_{2})\times \dots {\Big )}-{\Big (}1-(1-Reduction_{1})\times (1-Reduction_{2})\times \dots {\Big )}$

To get the multiplier for the actual heal amount

${\text{ManipulationMultiplier}}=1+RestorationManipulator$

Example 1

Treant Protector affected by Nature's Guise, Level 4 Divine Favor, Freezing Aura, and Cold Attack. What is his current total restoration manipulation multiplier?

Amplifications: Nature's Guise: 0.4, Divine Favor: 0.18

Reductions: Freezing Aura: 0.25, Cold Attack: 0.4

$\sum _{RestorationManipulator}={\Big (}1-(1-0.18)\times (1-0.4){\Big )}\times {\Big (}1-(1-0.25)\times (1-0.4){\Big )}=-4.2\%$

Treant Protector's restoration manipulator in this example would be reduced down to 95.8%, giving us a multiplier of 0.958.

Health freeze

A unit's health can also be frozen, so that no heals, lifesteal, or regeneration can increase it.

The following abilities freeze health

• Ancient Apparition - Ice Blast
  
  Duration: 10/11/12
  
• Oracle - False Promise
  
  Duration: 8/9/10 ( 9.5/10.5/11.5)
  Also negates all damage taken.

Mana restore manipulation

Mana restore manipulation affects every ability that restores a unit's mana. A list of restoring abilities can be found here.

All sources of mana restore manipulation stack additively with each other.

The following abilities provide mana restore manipulation

• Necrophos - Ghost Shroud
  
  Mana restore amplification: 75%
  Affects the caster.

Mana regen manipulation

Mana regen manipulation affects explicitly the mana regen value of affected units.

All sources of mana regen manipulation stack additively with each other.

The following abilities provide mana regen manipulation

• Bloodstone
  
  Mana regen amplification: 100%
  Affects the item owner.
• Necrophos - Ghost Shroud
  
  Mana regen amplification: 75%
  Affects the caster.
• Kaya
  
  Mana regen amplification: 24%
  Affects the item owner.
• Kaya and Sange
  
  Mana regen amplification: 30%
  Affects the item owner.
• Yasha and Kaya
  
  Mana regen amplification: 30%
  Affects the item owner.

Mechanics Stats Armor Attributes (Strength / Agility / Intelligence) Collision size Health (Health regeneration) Magic resistance Mana (Mana regeneration) Movement speed Status resistance Turn rate Vision Attack Attack animation Attack damage Attack modifier (Bash / Cleave & Splash / Critical strike / Lifesteal / Mana break) Attack range Attack speed Cast animation Cast range Damage types Motion buffer range Projectile speed Spell damage Spell lifesteal Abilities Abilities Aura Channeling Damage block Damage manipulation Damage over time Evasion Talents Teleport Status effects Attack immunity Break Cyclone Disable Disarm Ethereal Fear Forced movement Hex Hide Hypnosis Invisibility Invulnerability Leash Root Silence Sleep Slow Spell immunity Stun Taunt World Experience Gold Glyph of Fortification Map (Minimap) River Scan Runes Time of day Trees Gameplay Creep control techniques Denying Disjoint Dispel Ganking Harassment Hero complexity Initiating Item passive stacking Item sharing Jungling Lane Pushing Random distribution Roles Trap Units Ancient creeps Buildings Couriers Creep-heroes Heroes Illusions Lane creeps Neutral creeps Roshan Summons & Wards