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{{Main|Reference=Combat}} | |||
'''{{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. | |||
==Mechanics== | |||
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: | |||
<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> | |||
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== | |||
{{ModifierTable|DamageReduction|Damage Reduction}} | |||
==Melee Damage Reduction Equipment== | |||
{{EquipmentDRTable|Melee}} | |||
==Ranged Damage Reduction Equipment== | |||
{{EquipmentDRTable|Ranged}} | |||
==Mage Damage Reduction Equipment== | |||
{{EquipmentDRTable|Magic}} | |||
==Other Damage Reduction Equipment== | |||
{{EquipmentDRTable|Other}} | |||
<!-- No such modifier exists | |||
==Penetrating Enemy Damage Reduction== | |||
{{ModifierTable|EnemyDamageReduction|Enemy Damage Reduction}} | |||
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