Damage Reduction: Difference between revisions

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'''{{PAGENAME}}''' is a stat that does exactly what it suggests: It reduces the amount of damage taken by a player or monster. Unlike other combat numbers that are complex calculations, a player's Damage Reduction is determined by simply adding together all Damage Reduction bonuses the player has, whether from equipment or something else like a Damage Reduction Potion or Leonardo (pet).svg Leonardo.
'''{{PAGENAME}}''' (commomly referred to as [[Glossary|DR]]) is a stat that does exactly what it suggests: It reduces the amount of damage taken by a player or monster. Unlike other combat numbers that are complex calculations, a player's Damage Reduction is determined by simply adding together all Damage Reduction bonuses the player has, whether from equipment or something else like a {{Icon|Damage Reduction Potion}} or {{PetIcon|Leonardo}}.


Many monsters have Damage Reduction modifiers that affect their defensive stats.  
Many monsters have Damage Reduction modifiers that affect their defensive stats.  


==Mechanics==
==Mechanics==
Whenever a player or monster with Damage Reduction greater than 0% would receive damage, instead the damage the damage they take is equal to:
The player's damage reduction while engaged in combat can be calculated as their damage reduction % outside of combat ('Base Damage Reduction'), less any penalties that apply when in combat (such as the Intimidation passive effect present on many {{TotH}} [[monsters]]), all multiplied by the [[Combat Triangle]] damage reduction modifier. Damage reduction has a maximum value of 95% and a minimum of 0%, where the in-combat damage reduction can be calculated as:


Damage Taken=Base Damage∗(1−Damage Reduction)
<math>\text{Damage Reduction %} = \min \Big( \max \Big( \Big\lfloor \left ( \text{Base Damage Reduction %} - \text{In-Combat Penalties} \right ) \times \text{Combat Triangle Modifier} \Big\rfloor , 0 \Big), 95 \Big)</math>


Note that the Combat Triangle will affect how much damage reduction the player has if they are using a different style from the monster.
Where: <math> \left \lfloor x \right \rfloor </math> is the [https://en.wikipedia.org/wiki/Floor_and_ceiling_functions floor function].
 
Whenever a player or monster with Damage Reduction greater than 0% would receive damage, the damage taken is reduced. This reduced damage can be calculated as follows:
 
<math>\text{Damage Taken} = \left \lfloor \text{Base Damage} \times \left ( 1 - \frac{\text{Damage Reduction %}}{100} \right ) \right \rfloor</math>


==Damage Reduction Modifiers==
==Damage Reduction Modifiers==
{{ModifierTable|DamageReduction|Damage Reduction}}
==Melee Damage Reduction Equipment==
{{EquipmentDRTable|Melee}}
==Ranged Damage Reduction Equipment==
{{EquipmentDRTable|Ranged}}


{{#invoke:ModifierTables|getModifierTable|DamageReduction|Damage Reduction}}
==Mage Damage Reduction Equipment==
{{EquipmentDRTable|Magic}}


==Monsters with Damage Reduction==
==Other Damage Reduction Equipment==
TO BE CREATED
{{EquipmentDRTable|Other}}
<!-- No such modifier exists
==Penetrating Enemy Damage Reduction==
{{ModifierTable|EnemyDamageReduction|Enemy Damage Reduction}}
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