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==== Damage Reduction ==== | ==== Damage Reduction ==== | ||
{{Main|Reference=Damage Reduction}} | {{Main|Reference=Damage Reduction}} | ||
Damage Reduction (often abbreviated as '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 {{ItemIcon|Damage Reduction Potion | Damage Reduction (often abbreviated as '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 {{ItemIcon|Damage Reduction Potion}} or {{PetIcon|Defence}}. | ||
Many of the [[monsters]] in the game have natural damage reduction, with boss monsters typically having higher damage reduction than other monsters around the same combat level. Some monsters also have [[Special Attack#Monster Special Attacks|special attacks]] or passive effect which temporarily grant additional damage reduction, such as Stone Wall used by {{MonsterIcon|Terran}}. | |||
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 | <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]. | 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> | |||
==== Critical Hit ==== | ==== Critical Hit ==== |