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. All healing sources of healing manipulation whether incoming or outgoing stack multiplicatively with each other and has a lower limit of -100%.





Lifesteal Manipulation
Lifesteal manipulation affects every lifesteal sources. All sources of lifesteal manipulation stack multiplicatively with each other and has a lower limit of -100%.

Lifesteal Manipulation neither affects Spell Lifesteal nor Spell Lifesteal Manipulation sources.





Spell Lifesteal Manipulation
Spell lifesteal manipulation affects all spell damage. All spell lifesteal sources of spell lifesteal manipulation stack diminishingly with each other and has a lower limit of -100%.





Health Regen Manipulation
Health regeneration manipulation affects every health regeneration source. All sources of health regeneration manipulation stack multiplicatively with each other and has a lower limit of -100%.

Explicitly affects the health regeneration value of affected units.





Stacking
Heal, health regeneration, lifesteal, and spell lifesteal amplifications stack diminishingly, and 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 multiplier for the total heal amount is defined as

Total Restoration Multiplier = 1 + (1 - $$\prod_{i=1}^{n}$$(1 - Amplifications i)) - (1 - $$\prod_{i=1}^{n}$$(1 - Reductions i))

When there are no amplifications or no reductions, use 0 as a value for those cases.

Item Stacking

 * For -based items:
 * Multiple sources of spell lifesteal amplification stack diminishingly.
 * Multiple sources of mana regeneration amplification stack additively.
 * For -based items:
 * Multiple sources of health regeneration amplification and lifesteal amplification do not stack, the one with a higher value takes priority.

Example

 * affected by, , and has a in his inventory. What is his current total restoration manipulation multiplier?
 * Amplifications: :
 * Reductions: :, :


 * Restoration Multiplier
 * = 1 + (1 - (1 - )) - (1 - (1 - ) × (1 - ))


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

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



However, Health Freeze does not prevent the following abilities from increasing the hero's health:

Mana Restore Manipulation
Mana restore manipulation affects sources that restore a unit's mana. All sources of mana restore manipulation stack additively with each other.

 

Mana Regen Manipulation
Mana regeneration manipulation affects explicitly the mana regeneration value of affected units. All sources of mana regen manipulation stack additively with each other.





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