Combat: Difference between revisions

97 bytes removed ,  10 March 2023
→‎Damage Reduction: Reword/update for TotH expansion
(→‎Max Hit: Correct application of number multiplier)
(→‎Damage Reduction: Reword/update for TotH expansion)
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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|img=Damage Reduction Potion IV}} or {{PetIcon|Defence}}.
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}}.


A number of monsters in the game have natural damage reduction. With the exception of boss monsters, whose damage reduction is always at least 20%, a monsters' damage reduction is determined by their combat level. Some monsters also have [[Special Attack#Monster Special Attacks|special attacks]] which temporarily grant additional damage reduction, such as Stone Wall used by {{MonsterIcon|Terran}}.
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}}.
{| class="wikitable sortable"
|- class="headerRow-0"
! Combat Level !! DR
|-
| data-sort-value="0" | 0 - 99
| data-sort-value="0" style="text-align:right" | 0%
|-
| data-sort-value="100" | 100 - 200
| data-sort-value="5" style="text-align:right" | 5%
|-
| data-sort-value="201" | 201 - 300
| data-sort-value="10" style="text-align:right" | 10%
|-
| data-sort-value="301" | 301 - 400
| data-sort-value="15" style="text-align:right" | 15%
|-
| data-sort-value="401" | 401 - 500
| data-sort-value="20" style="text-align:right" | 20%
|-
| data-sort-value="501" | 501+
| data-sort-value="25" style="text-align:right" | 25%
|}


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:


<math>\text{Damage Taken} = \left \lfloor \text{Base Damage} \times (1 - \left \lfloor \text{Damage Reduction} \right \rfloor) \right \rfloor</math>
<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].


Note that the [[Combat Triangle]] will affect how much damage reduction the player has if they are using a different style from the monster.
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 ====