Combat: Difference between revisions

{{V|1.1.1}}

Combat stats — viewable from the combat page — are affected by the player's combat skills and any [[Equipment]] worn. The combat skills are {{Skill|Attack}}, {{Skill|Strength}}, {{Skill|Defence}}, {{Skill|Hitpoints}}, {{Skill|Ranged}}, {{Skill|Magic}}, {{Skill|Prayer}}, and {{Skill|Slayer}}. These skills are factored in when calculating the player's combat level, which is an approximation of the player's power. Players start at combat level 3 and can reach a maximum of combat level 126 ({{TotH}} 153), while [[monsters]] range from combat level [[Chicken (monster)|1]] to [[Bane, Instrument of Fear|1300]].

* '''Max Hit''' shows the maximum potential damage a successful attack can do. The Max Hit displayed for players and enemies does not factor in damage reduction.

* '''Chance to Hit''' shows the player's percent chance to hit the enemy with their attack.

* '''Accuracy Rating''' affects the likelihood an attack will be successful during combat. The player's Accuracy Rating is compared to the enemy's Evasion Rating when calculating the chance an attack will succeed.

* '''Damage Reduction''' (also referred to as '''DR''') reduces any damage received by the percent shown.

* '''Evasion Rating''' affects the likelihood an attack will be avoided during combat. There are three types of Evasion Rating; Melee, Ranged, and Magic. The Attack Type being defended against affects which Evasion Rating will be used. The enemy's Accuracy Rating is compared to the player's Evasion Rating when calculating the chance an attack will be avoided.

* '''Prayer Points''' are gained by burying [[Prayer#Bones|bones]] and are used to activate [[Prayer#Prayers|prayers]] during combat.

* '''Active Prayers''' provide bonuses to the player during combat and use Prayer Points to remain active. Up to two [[Prayer#Prayers|prayers]] can be active simultaneously, so long as the required Prayer Points are available.

Any items enemies drop upon death must be looted manually by selecting "Loot All" or the item itself, unless the {{ItemIcon|Amulet of Looting}} is equipped. If there are more than 100 stacks of loot, the oldest drop disappears. Bones stack and do not time out like other drops. Other drops do not stack even if they are of the same type.

<!-- JS source: game.js, function playerCombatLevel

Where 'Standard Skill Level' is the player's skill level as seen in the left-hand navigation bar (up to a maximum of 99, or 120 with {{TotH}}), while 'Hidden Skill Level' is the sum of any hidden skill level bonuses, such as those granted by {{Skill|Astrology}}, some [[Pets]] or items like the {{ItemIcon|Silver Ruby Necklace}}.

In addition, the player's accuracy modifier needs to be known. This is the sum of all global accuracy rating and the relevant attack type's accuracy rating increases, provided from places such as [[Herblore#Combat Potions|Potions]], {{Skill|Agility}}, and {{Skill|Astrology}}. If using {{Icon|Magic|Surge spells|nolink=true|img=Wind Surge|type=spell}} from the [[Magic#Standard Magic|standard magic spellbook]], this modifier is increased by a further 6%.

<math>\text{Base Max Hit} = \left \lfloor M \times \left ( 2.2 + \frac{\text{Effective Skill Level}}{10} + \frac{\text{Effective Skill Level} + 17}{640} \times \text{Strength Bonus} \right ) \right \rfloor</math>

 

<!-- JS source: character.js, function computeMagicMaxHit

<math>\text{Base Max Hit} = \left \lfloor \text{Spell Max Hit} \times \left ( 1 + \frac{\text{Magic Damage Bonus}}{100} \right ) \times \left ( 1 + \frac{\text{Effective Magic Level} + 1}{200} \right ) \right \rfloor</math>

-->For [[Special Attacks]] the minimum hit varies depending on the attack. Otherwise, for normal attacks the base minimum hit starts at 1. To this base value, both modifiers for "+X% of Maximum Hit added to Minimum Hit" as well as increased flat minimum hit damage are applied. In addition, if a spell from the [[Standard Magic|standard]] or [[Archaic Magicks|Archaic spellbook]] is being used then element specific modifiers granting flat minimum hit damage for the same element as the spell being used are also included. The minimum hit is at least 1, and no more than the max hit.

-->{{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}} 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 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>

==== Critical Hit ====

With specific pieces of equipment, there is a chance that hits dealt by the player may become critical. When a critical hit occurs, any damage dealt by that hit will be increased by 50% - this increase is multiplicative with any other damage increasing bonuses currently in effect.

The player's critical chance starts at 0% (at which point critical hits do not occur), and can be increased by the following:

-->The calculation used to determine the player's evasion rating varies depending on the attack type the player is defending against. Each requires the calculation of effective skill levels, the formula for which is as follows:

<math>\small{\text{Effective Skill Level} = \text{Standard Skill Level} + \text{Hidden Skill Level}}</math>

In addition, the player's evasion modifier need to be known. This is the sum of all global evasion rating and the relevant attack type's evasion rating increases, provided from places such as [[Herblore#Combat Potions|Potions]], {{Skill|Agility}}, and {{Skill|Astrology}}.

First determine the relevant defence bonus, this will be the melee defence bonus for the {{Icon|Melee}} evasion rating, or the ranged defence bonus for the {{Skill|Ranged}} evasion rating. These stats can be found in the Equipment Stats interface.

Given this, the evasion rating is then:

<math>\text{Evasion Rating} = \left \lfloor \left ( \text{Effective Defence Level} + 9 \right ) \times \left ( \text{Defence Bonus} + 64 \right ) \times \left ( 1 + \frac{\text{Evasion Modifier}}{100} \right ) \right \rfloor</math><!--

Note: Strictly the evasion rating calculation also includes an element of scaling when the 'globalEvasionHPScaling' applies, however this is only available through the 'Fleeting Defence' enemy passive, so currently does not apply to the player -->

The calculation for Magic evasion is slightly different from that for Melee and Ranged. The defence bonus used should naturally be the magic defence bonus. In addition, the effective defence level becomes a calculation that factors in both the player's effective Defence and Magic levels:

<math>\small{\text{Effective Level} = \left \lfloor 0.3 \times \text{Effective Defence Level} + 0.7 \times \text{Effective Magic Level} \right \rfloor}</math>

Then the magic evasion rating becomes:

<math>\text{Evasion Rating} = \left \lfloor \left ( \text{Effective Level} + 9 \right ) \times \left ( \text{Magic Defence Bonus} + 64 \right ) \times \left ( 1 + \frac{\text{Evasion Modifier}}{100} \right ) \right \rfloor</math>