Combat: Difference between revisions

From Melvor Idle
(Changed spacing of melee/ranged/magic formulas for legibility)
(→‎Stun (Freeze): fighter amulet no longer stuns on player attack)
 
(80 intermediate revisions by 22 users not shown)
Line 1: Line 1:
{{V0.17.0}}
{{HasGuide}}
{{UserContentVersion|1.2.2}}
[[File:Combat.svg|thumb|right|Combat]]
[[File:Combat.svg|thumb|right|Combat]]
[[File:Combat Page Map.png|thumb|right|Combat page.]]
[[File:Combat Page Map.png|thumb|right|Combat page.]]
Line 8: Line 9:
{{PAGENAME}} involves fighting various [[monsters]] throughout the [[combat areas]], [[slayer areas]], and [[dungeons]] of Melvor. [[Food]] and [[Equipment]] cannot be changed while in a [[dungeon]] unless an [[Dungeon Equipment Swapping|upgrade]] has been purchased from the [[shop]].
{{PAGENAME}} involves fighting various [[monsters]] throughout the [[combat areas]], [[slayer areas]], and [[dungeons]] of Melvor. [[Food]] and [[Equipment]] cannot be changed while in a [[dungeon]] unless an [[Dungeon Equipment Swapping|upgrade]] has been purchased from the [[shop]].


Combat stats—viewable from the combat page—are affected by the player's combat skills and any [[Equipment]] worn. The combat skills are [[Attack]], [[Strength]], [[Defence]], [[Hitpoints]], [[Ranged]], [[Magic]], [[Prayer]], and [[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, while [[monsters]] range from combat level [[Chicken|1]] to [[Ragnar|815]]. The player's combat level affects the difficulty of [[monsters]] given in [[Slayer]] Tasks.
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]].


== Combat Info ==
== Combat Info ==
'''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.<br>
* '''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.<br>
* '''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. <br>
* '''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.
'''Dmg Reduction''' reduces any damage received by the percent shown. <br>
* '''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.<br>
* '''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.<br>
* '''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.<br>
* '''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.


== Basic Combat ==
== Basic Combat ==
To fight [[monsters]] navigate to the combat page by selecting any combat skill from the left menu. The combat page contains three tabs containing the locations where [[monsters]] can be fought, above a section for equipment and combat stats. Browse [[combat areas]], [[slayer areas]], or [[dungeons]] to reveal a menu containing all the relevant locations. Selecting a location will display the enemies which can be found there, along with their Hitpoints, Combat Level, and Attack Type. Selecting "Fight" will begin combat. Combat will continue until the player runs, dies, or defeats the [[dungeons|dungeon]]. Enemies are fought automatically. Combat skills can not be trained in [[Offline Progression|offline mode]].
To fight [[monsters]] navigate to the combat page by selecting any combat skill from the left menu. The combat page contains three tabs containing the locations where [[monsters]] can be fought, above a section for equipment and combat stats. Browse [[combat areas]], [[slayer areas]], or [[dungeons]] to reveal a menu containing all the relevant locations. Selecting a location will display the enemies which can be found there, along with their Hitpoints, Combat Level, and Attack Type. Selecting "Fight" will begin combat. Combat will continue until the player runs, dies, or defeats the [[dungeons|dungeon]]. Enemies are fought automatically. Combat skills can be trained in [[Offline Progression|offline mode]] as long as it is toggled in the settings.


[[Beginners_Guide#Combat_Skills|Combat skills]] are leveled by damaging enemies with weapons, and magic. To train a specific combat skill match the Attack Style icon with the relevant [[Beginners_Guide#Combat_Skills|combat skill]]. The available Attack Styles will change depending on the type of weapon equipped. Most combat skills have a passive effect even when the relevant style is not selected. Weapons, armour, and [[food]] can be equipped for use by selecting them in the [[Bank]]. Weapons and armour provide bonuses and penalties to combat stats, while [[food]] can be used for healing in combat.
[[Beginners_Guide#Combat_Skills|Combat skills]] are leveled by damaging enemies with weapons, and magic. To train a specific combat skill match the Attack Style icon with the relevant [[Beginners_Guide#Combat_Skills|combat skill]]. The available Attack Styles will change depending on the type of weapon equipped. Most combat skills have a passive effect even when the relevant style is not selected. Weapons, armour, and [[food]] can be equipped for use by selecting them in the [[Bank]]. Weapons and armour provide bonuses and penalties to combat stats, while [[food]] can be used for healing in combat.
Line 29: Line 30:
- ''See also [[Thieving#Loot]]''
- ''See also [[Thieving#Loot]]''


All [[monsters]] killed in combat and slayer areas will drop [[Prayer#Bones|bones]] upon death, with a chance for additional [[Monster Loot Tables|loot]] based on the [[Monsters|monster's]] type. The "Drops" option will display the [[Monster Loot Tables|possible loot drops]] a monster can give.
All [[monsters]] killed in combat and slayer areas will drop [[Prayer#Bones|bones]] upon death, with a chance for additional loot based on the [[Monsters|monster's]] type. The "Drops" option will display the possible loot drops a monster can give.


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 16 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.
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.


[[Monsters]] fought in [[dungeons]] will not drop loot when killed (except for God Dungeons, where shards are rewarded after each killed monster) and do not count towards [[Slayer]] Tasks. When the last [[Monsters|monster]] in a [[dungeon]] is killed the player will be awarded with a [[Dungeons#Dungeon List|reward]], which is sent to the [[Bank]] automatically.  
With the {{UpgradeIcon|Loot Container Stacking}} upgrade from the [[Shop]] all loot in the Loot Container will stack.
 
[[Monsters]] fought in [[dungeons]] will not drop loot when killed and do not count towards {{Skill|Slayer}} Tasks. The God Dungeons are an exception to this rule: the shards are rewarded after each killed monster. When the last [[Monsters|monster]] in a [[dungeon]] is killed, the player will be given a [[Dungeons#Dungeon List|reward]] that is sent to the [[Bank]] automatically.


== Combat Triangle ==
== Combat Triangle ==
Line 40: Line 43:
== Special Attacks ==
== Special Attacks ==
{{Main|Reference=Special Attacks}}
{{Main|Reference=Special Attacks}}
Special attacks can be used in combat to gain a slight advantage over the [[monster]] being fought. Equipping a weapon with a special attack will give your attacks a chance to perform a special attack. Only a select few high level weapons have special attacks. Several monsters can use special attacks against the player, including [[Malcs, the Guardian of Melvor]] and [[Prat, the Protector of Secrets]] from the [[Volcanic Cave]], and all of the monsters from the four god dungeons. The attack bar will change to yellow when a special attack is being used.
Special attacks can be used in combat to gain a slight advantage over the [[monster]] being fought. Equipping a weapon with a special attack will give your attacks a chance to perform a special attack. Only a select few high level weapons have special attacks. Several monsters can use special attacks against the player, including {{MonsterIcon|Malcs, the Guardian of Melvor}} and {{MonsterIcon|Prat, the Protector of Secrets}} from the {{ZoneIcon|type=Dungeon|Volcanic Cave}}, and all of the monsters from the four god dungeons. The attack bar will change to yellow when a special attack is being used.


Special Attacks cannot be used alongside Ancient Magicks.
Special Attacks cannot be used alongside Ancient Magicks.


== Gaining Experience ==
== Gaining Experience ==
Players can gain experience in eight different skills while training combat:
Players can gain experience in nine different skills while training combat:


{{Skill|Hitpoints}} experience is gained at a rate of 0.133 experience per damage dealt regardless of the combat style being used.
{{Skill|Hitpoints}} experience is gained at a rate of 1.3% experience per damage dealt regardless of the combat style being used.


{{Skill|Attack}}, {{Skill|Strength}}, {{Skill|Defence}}, {{Skill|Magic}}, or {{Skill|Ranged}} experience is gained depending on the active combat style. If the selected combat style only gives experience towards a single skill, 0.4 experience will be gained per damage dealt. If the selected combat style is a hybrid combat style, 0.2 experience will be gained by each of the two relevant skills for each damage dealt.
{{Skill|Attack}}, {{Skill|Strength}}, {{Skill|Defence}}, {{Skill|Magic}}, or {{Skill|Ranged}} experience is gained depending on the active combat style. If the selected combat style only gives experience towards a single skill, 4% experience will be gained per damage dealt. If the selected combat style is a hybrid combat style, 2% experience will be gained by each of the two relevant skills for each damage dealt.


No additional {{Skill|Magic}} experience is directly generated for using [[Magic#Curses|Curses]] or [[Magic#Auroras|Auroras]], although they may indirectly generate additional experience by increasing the amount of damage the player deals.
No additional {{Skill|Magic}} experience is directly generated for using [[Magic#Curses|Curses]] or [[Magic#Auroras|Auroras]], although they may indirectly generate additional experience by increasing the amount of damage the player deals.


Players gain 0.2 {{Skill|Prayer}} experience per damage dealt per prayer point spent on prayers that affected the attack. For example, if {{PrayerIcon|Piety}} (7 prayer point cost) is active, each attack made will generate 1.4 extra experience per damage dealt. Only prayers such as {{PrayerIcon|Thick Skin}} that say 'Provides extra Prayer XP based on damage dealt to the enemy' in their description will generate experience this way - Prayers such as {{PrayerIcon|Protect from Magic}} that say 'Provides no extra Prayer XP' will not contribute towards this experience bonus.
Players gain <math>\frac{1}{30}</math> or <math>0.0\bar{3}</math> {{Skill|Prayer}} experience per damage dealt per prayer point spent on prayers that affected the attack. For example, if {{PrayerIcon|Steel Skin}} (3 prayer point cost) is active, each attack made will generate 0.1 extra experience per damage dealt. Only prayers such as {{PrayerIcon|Thick Skin}} that say 'Provides extra Prayer XP based on damage dealt to the enemy' in their description will generate experience this way - Prayers such as {{PrayerIcon|Protect from Magic}} that say 'Provides no extra Prayer XP' will not contribute towards this experience bonus.


All of the above experience will be multiplied by 1.07 while a {{ItemIcon|Gold Emerald Ring}} is equipped.
All of the above experience will be multiplied by 1.04 while a {{ItemIcon|Gold Emerald Ring}} is equipped.


{{Skill|Slayer}} experience is gained through two sources: Killing monsters on a [[Slayer#Slayer Task|Slayer Task]] and killing monsters in a [[Slayer area]]. Killing the monster that is the player's current Slayer Task will generate experience equal to 10% of the monster's hitpoints. Killing a monster in a Slayer area will generate experience equal to 5% of the monster's hitpoints. If the player's Slayer Task is for a monster in a Slayer area, these bonuses will stack for a total of 15% of the monster's hitpoints in experience per kill.
{{Skill|Slayer}} experience is gained through two sources: Killing monsters on a [[Slayer#Slayer Task|Slayer Task]] and killing monsters in a [[Slayer area]]. Killing the monster that is the player's current Slayer Task will generate experience equal to 10% of the monster's hitpoints. Killing a monster in a Slayer area will generate experience equal to 5% of the monster's hitpoints. If the player's Slayer Task is for a monster in a Slayer area, these bonuses will stack for a total of 15% of the monster's hitpoints in experience per kill.


Slayer Experience cannot be increased by the {{ItemIcon|Gold Emerald Ring}}, however the various pieces of Slayer Equipment that can be purchased from the [[Shop]] using {{Icon|Slayer Coins}} provides an experience bonus when worn.
Slayer Experience cannot be increased by the {{ItemIcon|Gold Emerald Ring}}, however the various pieces of Slayer Equipment that can be purchased from the [[Shop]] using {{Icon|Slayer Coins}} provides an experience bonus when worn.
{{Skill|Summoning}} experience can be gained if the player has equipped [[Summoning#Summoning Tablets|tablets]] for at least one combat familiar. Summoning experience will be granted whenever the familiar attacks the enemy, consuming a tablet in the process. Being a non-combat skill, Summoning experience gained cannot be increased by the {{ItemIcon|Gold Emerald Ring}}.


== Death ==
== Death ==
Receiving damage that would bring the player's total {{Skill|Hitpoints}} to 0 or below will cause the player to die. Upon death a random piece of [[Equipment]] worn will be lost forever (unless the {{PrayerIcon|Protect Item}} prayer is active). If ammo is lost, the entire stack - regardless of size - will be forfeited. Only non-[[food]] items that have been equipped in an active slot can be lost upon death.
Receiving damage that would bring the player's total {{Skill|Hitpoints}} to 0 or below will cause the player to die. Upon death a random equipment slot is selected, any [[Equipment]] within the selected slot will be lost forever (unless the {{PrayerIcon|Protect Item}} prayer is active). If either ammunition or Summoning tablets are lost, the entire stack - regardless of size - will be forfeited. Only non-[[food]] items that have been equipped in an active slot can be lost upon death.
 
All items equipped have an equal chance of being lost. When the death penalty rolls to determine which item is lost, it starts by rolling a random equipment slot. If the player has nothing equipped in that slot (For example, if they are using Melee and do not have any Ammo equipped) nothing will be lost, and a message saying "Luck was on your side today. You lost nothing." will appear. If the [[Decoy Idol]] is equipped, it will always be the item lost.
 
{{Icon|Hardcore}} characters that die are deleted permanently. The only safe death in Hardcore mode is during the [[Impending Darkness Event]], where death results in normal death penalties but not character deletion.
 
== How to idle monsters ==
 
In order to idle monsters, you will need to purchase [[Auto Eat]] which costs {{GP|1000000}} from the [[Shop]].


All items equipped have an equal chance of being lost. When the death penalty rolls to determine which item is lost, it starts by rolling a random equipment slot. If the player has nothing equipped in that slot (For example, if they are using Melee and do not have any Ammo equipped) nothing will be lost, and a message saying "Luck was on your side today. You lost nothing." will appear.
For most monsters, you will be able to start idling if your {{UpgradeIcon|Auto Eat}} threshold is lower than the monster's max hit. To find your auto eat threshold, tap the {{UpgradeIcon|Auto Eat}} icon below your HP bar. To find the monster's max hit, start fighting the monster and look at their "Maximum Hit" in their Offensive Stats box. This number already accounts for the [[Combat Triangle]] and your [[Damage Reduction]]. If your {{UpgradeIcon|Auto Eat}} threshold is greater than or equal to the monster's max hit.


{{Icon|Hardcore}} characters that die are deleted permanently.
You normally are safe to idle monsters as long as you don't run out of [[Food]], [[Ammo]] or [[Runes]].
 
=== Other considerations ===
 
While most of this information can be found in the game, it can be difficult to check for dungeons, slayer tasks, and some late game monsters that have special attacks. Players have created tools to help check if you are safe to idle, but please note that they are liable to become out of date and inaccurate.
 
For more information:
:* The [[Combat Simulator]] mod is suggested to determine whether or not a particular [[Monster]] or [[Dungeon]] can be safely fought with your particular setup
 
To learn about modding, see the [[FAQ#Mods|Mods]] section of the [[FAQ]].


== Combat Mechanics ==
== Combat Mechanics ==
Line 72: Line 94:
The first formula is used to calculate the player's Base Combat Level.
The first formula is used to calculate the player's Base Combat Level.


<math>\small{ \begin{aligned} \text{Base Combat Level} = 0.25 * (\text{Defence Skill Level} + \text{Hitpoints Skill Level} + (\text{Prayer Skill Level} / 2) \end{aligned}}</math>
<!-- JS source: game.js, function playerCombatLevel
--><math>\small{ \begin{aligned} \text{Base Combat Level} = 0.25 \times (\text{Defence Skill Level} + \text{Hitpoints Skill Level} + \lfloor 0.5 \times \text{Prayer Skill Level} \rfloor) \end{aligned}}</math>


The second set of formulas are used to calculate the player's Offensive Combat Levels, only the highest result is used.
The second set of formulas are used to calculate the player's Offensive Combat Levels, only the highest result is used.


<math>\small{\begin{aligned}\text{Melee Combat Level} = 0.325 * (\text{Attack Skill Level} + \text{Strength Skill Level})\end{aligned}}</math>
<math>\small{\begin{aligned}
 
\text{Melee Combat Level} &= \text{Attack Skill Level} + \text{Strength Skill Level} \\
<math>\small{\begin{aligned}\text{Ranged Combat Level} = 0.325 * (3 * \text{Ranged Skill Level} / 2)\end{aligned}}</math>
\text{Ranged Combat Level} &= \lfloor 1.5 \times \text{Ranged Skill Level} \rfloor \\
 
\text{Magic Combat Level} &= \lfloor 1.5 \times \text{Magic Skill Level} \rfloor
<math>\small{\begin{aligned}\text{Magic Combat Level} = 0.325 * (3 * \text{Magic Skill Level} / 2)\end{aligned}}</math>
\end{aligned}}</math>


The third formula is used to calculate the player's Combat Level, rounded down to the nearest whole number.
The third formula is used to calculate the player's Combat Level, rounded down to the nearest whole number.


<math>\small{\begin{aligned}\text{Combat Level} = \text{Base Combat Level} + \text{Highest Offensive Combat Level}\end{aligned}}</math>
<math>\small{\begin{aligned}\text{Combat Level} = \lfloor \text{Base Combat Level} + 0.325 \times \text{Highest Offensive Combat Level} \rfloor\end{aligned}}</math>


=== Stun (Freeze) ===
Where: <math> \left \lfloor x \right \rfloor </math> is the [https://en.wikipedia.org/wiki/Floor_and_ceiling_functions floor function].
Stun, also known as freeze, is a status effect that can be inflicted by both players and [[monsters]]. Stun can be applied for a number of turns by a [[Special Attacks|special attack]] or a normal attack by the player if the {{ItemIcon|Fighter Amulet}} is equipped. When an attack applies stun the current attack of the target is interrupted, including special attacks that are in progress. If the target is already stunned, it will not be applied again. When stunned, a stun timer counts down with a period equivalent to the target's attack speed. On completion of the timer the number of stun turns is decreased by one, and the status is removed if the resulting amount is zero. In addition to not being able to attack while stunned, a character cannot evade any attacks.


=== Accuracy Rating ===
===Stun (Freeze)===
==== Melee Accuracy Rating ====
{{Main|Reference=Freeze}}
The first formula is used to calculate the player's Effective Melee Attack Level. The Attack Style Bonus for melee is 1.
Stun, also known as freeze, is a status effect that can be inflicted by both players and [[monsters]]. Stun can be applied for a number of turns by a [[Special Attacks|special attack]] or a normal attack by the player if certain items are equipped. When an attack applies stun the current attack of the target is interrupted, including special attacks that are in progress. If the target is already stunned, it will not be applied again. When stunned, a stun timer counts down with a period equivalent to the target's attack speed. On completion of the timer the number of stun turns is decreased by one, and the status is removed if the resulting amount is zero. In addition to not being able to attack while stunned, a character cannot evade any attacks.


<math> \small{\begin{aligned} \text{Effective Melee Attack Level}=\text{Attack Skill Level} + 8 + \text{Attack Style Bonus} \end{aligned}}</math>
While a player or monster is stunned, they take 30% more damage.


The second formula is used to calculate the player's Melee Accuracy Rating. Melee Attack Bonus can be found in Equipment Stats and changes depending on the Attack Style selected. Simply substitute Stab Bonus, Slash Bonus, or Defend Bonus, from Equipment Stats with Melee Attack Bonus in this formula. The potion and prayer bonuses, will be the relevant numbers written in the potion and prayer descriptions.
While a player or monster is asleep, they take 20% more damage.


<math> \small{ \begin{aligned}
===Hidden Skill Level===
\text{Melee Accuracy Rating} = \big\{ &\text{Effective Melee Attack Level} * (\text{Melee Attack Bonus} +64) \\
In effect, Hidden Skill Levels are the same as normal levels however they cannot be used to wear Equipment that you otherwise wouldn't have the level to wear. Some sources of hidden skill levels are {{Skill|Astrology}}, some [[Pets]],Combat Style or items like the {{ItemIcon|Silver Ruby Necklace}}.
&{}* (1 + \text{Potion Accuracy Rating Bonus} / 100) * (1 + \text{Prayer Accuracy Rating Bonus} / 100) \big\} \end{aligned} } </math>


==== Ranged Accuracy Rating ====
=== Accuracy Rating ===
The first formula is used to calculate the player's Effective Ranged Attack Level. The Attack Style Bonus when using the Accurate Attack Style is 4, otherwise it's 1.
<!-- JS source: character.js, function computeAccuracy
-->The calculation used to determine the player's accuracy rating is broadly the same for all combat styles, with some parameters varying depending on the player's current attack type and style:
{| class="wikitable stickyHeader"
|- class="headerRow-0"
! Attack Type !! Attack Style !! Skill Level !! Attack Bonus Stat
|-
| rowspan="3" | {{Icon|Melee}} || {{Skill|Attack|Stab|nolink=true}} || rowspan="3" | {{Skill|Attack}} || Stab attack bonus
|-
| {{Skill|Strength|Slash|nolink=true}} || Slash attack bonus
|-
| {{Skill|Defence|Block|nolink=true}} || Block attack bonus
|-
| {{Skill|Ranged}} || All || {{Skill|Ranged}} || Ranged attack bonus
|-
| {{Skill|Magic}} || All || {{Skill|Magic}} || Magic attack bonus
|}


<math> \small{\begin{aligned} \text{Effective Ranged Attack Level}=\text{Ranged Skill Level} + 8 + \text{Attack Style Bonus} \end{aligned}}</math>
The first formula is used to determine the player's effective skill level:


The second formula is used to calculate the player's Ranged Accuracy Rating. Ranged Attack Bonus can be found in Equipment Stats, under Offensive Stats with the bow and arrow icon. The potion and prayer bonuses, will be the relevant numbers written in the potion and prayer descriptions.
<math>\small{\text{Effective Skill Level} = \text{Standard Skill Level} + \text{Hidden Skill Level}}</math>


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}}.


<math> \small{ \begin{aligned}  
Next, the base accuracy bonus should be calculated. This is the sum of the relevant attack bonus statistic provided by all currently equipped equipment (as seen in the Equipment Stats interface), plus:
\text{Ranged Accuracy Rating} = \big\{ &\text{Effective Ranged Attack Level} * (\text{Ranged Attack Bonus} +64) \\
* {{Icon|Melee}}
&{}* (1 + \text{Potion Accuracy Rating Bonus} / 100) * (1 + \text{Prayer Accuracy Rating Bonus} / 100) \big\} \end{aligned} } </math>
** +15 if fighting a {{Skill|Ranged}} monster while the {{ItemIcon|Minotaur}}/{{ItemIcon|Centaur}} synergy is active
* {{Skill|Ranged}}
** +15 if fighting a {{Skill|Magic}} monster while the {{ItemIcon|Witch}}/{{ItemIcon|Centaur}} synergy is active
** The additional ranged attack bonus provided by {{ItemIcon|Stormsnap}} if equipped, the formula for this is included on the bow's page


==== Magic Accuracy Rating ====
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%.
The first formula is used to calculate the player's Effective Magic Attack Level. The Attack Style Bonus for magic is 1.


<math> \small{ \begin{aligned} \text{Effective Magic Attack Level}=\text{Magic Skill Level} + 8 + \text{Attack Style Bonus} \end{aligned}} </math>
Finally, the player's accuracy rating can then be calculated as:


The second formula is used to calculate the player's Magic Accuracy Rating. Magic Attack Bonus can be found in Equipment Stats, under Offensive Stats with the wizard hat icon. The potion and prayer bonuses, will be the relevant numbers written in the potion and prayer descriptions.
<math>\text{Accuracy Rating} = \left \lfloor \left (\text{Effective Skill Level} + 9 \right ) \times \left (\text{Base Accuracy Bonus} + 64 \right ) \times \left (1 + \frac{\text{Accuracy Modifier}}{100} \right ) \right \rfloor</math>


<math> \small{ \begin{aligned}
Where: <math> \left \lfloor x \right \rfloor </math> is the [https://en.wikipedia.org/wiki/Floor_and_ceiling_functions floor function].
\text{Magic Accuracy Rating} = \big\{ &\text{Effective Magic Attack Level} * (\text{Magic Attack Bonus} +64) \\
&* (1 + \text{Potion Accuracy Rating Bonus} / 100) * (1 + \text{Prayer Accuracy Rating Bonus} / 100) \big\} \end{aligned} } </math>


=== Chance to Hit ===
=== Chance to Hit ===
To calculate the chance an attack will hit, the Accuracy Rating of the attacker is compared to the relevant Evasion Rating of the defender. If the attacker's Accuracy Rating is lower than the defender's evasion rating the formula looks like this.
<!-- JS source: character.js, function computeHitChance
-->To calculate the chance an attack will hit, the Accuracy Rating of the attacker is compared to the relevant Evasion Rating of the target. If the attacker's Accuracy Rating is lower than the defender's evasion rating the formula is as follows:


<math> \small{ \begin{aligned} \text{Hit Percent Chance}=\ (0.5 * \text{Accuracy Rating} / \text{Evasion Rating}) * 100 \end{aligned}} </math>
<math> \small{ \begin{aligned} \text{Percentage Hit Chance} = \frac{\text{Attacker Accuracy Rating}}{2 \times \text{Target Evasion Rating}} \times 100 \end{aligned}} </math>


If the attacker's Accuracy Rating is higher than the defender's Evasion Rating the formula looks like this.
Otherwise, the attacker's Accuracy Rating is higher than or equal to the target's Evasion Rating, and the formula is instead:


<math> \small{ \begin{aligned} \text{Hit Percent Chance}=\ (1 - 0.5 * \text{Evasion Rating} / \text{Accuracy Rating}) * 100 \end{aligned}}</math>
<math> \small{ \begin{aligned} \text{Percentage Hit Chance} = \left ( 1 - \frac{\text{Target Evasion Rating}}{2 \times\text{Attacker Accuracy Rating}} \right ) \times 100 \end{aligned}}</math>


When the attacker's Accuracy Rating and the target's Evasion Rating are the same, the chance to hit is 50%. The higher the attacker's Accuracy Rating is above the targets Evasion Rating, the less valuable each point will be. At double the targets Evasion Rating, the attacker will hit 75% of the time, at triple, the attacker will hit 83.3% of the time.
When the attacker's Accuracy Rating and the target's Evasion Rating are the same, the chance to hit is 50%. The higher the attacker's Accuracy Rating is above the targets Evasion Rating, the less valuable each point will be. At double the target's Evasion Rating, the attacker will hit 75% of the time, at triple, the attacker will hit 83.3% of the time.


=== Max Hit ===
=== Max Hit ===
==== Melee Max Hit ====
{{Main|Reference={{PAGENAME}}/Boosts#Max_Hit_Boosts|Name=Max Hit Boosts}}
The first formula is used to calculate the player's Effective Strength Level.
<!-- JS source: character.js, function computeMaxHit -->
==== Melee and Ranged Max Hit ====
<!-- JS source: character.js, functions computeMeleeMaxHit, computeRangedMaxHit
-->First, calculate the player's effective {{Skill|Strength}} level for the melee max hit, or the effective {{Skill|Ranged}} level for the ranged max hit:


<math> \small{ \begin{aligned} \text{Effective Melee Strength Level} = \text{Strength Skill Level} + 8 + 1 \end{aligned}} </math>
<math>\small{\text{Effective Skill Level} = \text{Standard Skill Level} + \text{Hidden Skill Level}}</math>


The second formula is used to calculate the player's Max Hit. Strength Bonus can be found in Equipment Stats next to the flexed arm icon. The potion and prayer bonuses will be the relevant numbers written in the potion and prayer descriptions.
Where 'Standard Skill Level' is the player's skill level as seen in the left-hand navigation bar (up to a maximum of 99), while 'Hidden Skill Level' is the sum of any hidden skill level bonuses, such as those granted by {{Skill|Astrology}}.


<math> \small{ \begin{aligned} \text{Max Hit} = 10 * \big\{ &(1.3 + \text{Effective Melee Strength Level} / 10 + \text{Strength Bonus} / 80 + \text{Effective Melee Strength Level} * \text{Strength Bonus} / 640)\\
Next, the strength bonus should be calculated. This is the sum of the relevant statistic provided by all currently equipped equipment (as seen in the Equipment Stats interface), where the relevant statistic is:
&* (1 + \text{Potion Strength Bonus} / 100) * (1 + \text{Prayer Strength Bonus} / 100) \big\} \end{aligned}}</math>
* '''Melee strength bonus''' for {{Icon|Melee}}
* '''Ranged strength bonus''' for {{Skill|Ranged}}


==== Ranged Max Hit ====
Given these figures, the base max hit (i.e. max hit before modifiers) is then calculated as:
The first formula is used to calculate the player's Effective Ranged Strength Level. The Attack Style Bonus when using the Accurate Attack Style is 4, otherwise it's 1.


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


The second formula is used to calculate the player's Max Hit. Strength Bonus can be found in Equipment Stats next to the bow and arrow icon. The potion and prayer bonuses will be the relevant numbers written in the potion and prayer descriptions.
Where <math>M</math> varies based on the [[Game Mode]] being played, and is equal to:
* 10 if playing [[Game_Mode#Standard|Standard]], {{Icon|Hardcore}}, or {{AoD}}{{Icon|Ancient Relics}} mode
* 100 if playing {{Icon|Adventure}} mode


<math> \small{ \begin{aligned} \text{Max Hit} = 10 * \big\{ &(1.3 + \text{Effective Ranged Strength Level} / 10 + \text{Strength Bonus} / 80 + \text{Effective Ranged Strength Level} * \text{Strength Bonus} / 640)\\
This base max hit is then adjusted by the percentage and flat max hit modifiers to arrive at the final max hit figure, where the modifiers include both global max hit increases as well as increases specific to the relevant attack type:
&* (1 + \text{Potion Strength Bonus} / 100) * (1 + \text{Prayer Strength Bonus} / 100) \big\} \end{aligned}}</math>
 
<math>\text{Max Hit} = \left \lfloor \text{Base Max Hit} \times \left ( 1 + \frac{\text{Percentage Max Hit Modifier}}{100} \right ) \right \rfloor + \text{Flat Max Hit Modifier}</math>


==== Magic Max Hit ====
==== Magic Max Hit ====
The player's Max Hit with [[Magic#Spells|spells]] changes depending on the spell being used. Spell Max Hit is listed in the spells description and is different for every spell. Magic Damage Bonus can be found in Equipment Stats under % Damage Bonus. The potion and prayer bonuses will be the relevant numbers written in the potion and prayer descriptions.
{{Main|Reference=Magic/Boosts#Damage_Boosts|Name=Magic Damage Boosts}}
<!-- JS source: character.js, function computeMagicMaxHit
-->The player's Max Hit with [[Magic#Spells|spells]] changes depending on the spell being used. A spell's max hit is listed in the spell's description and is different for every spell. Magic Damage Bonus can be found in the Equipment Stats interface.


<math> \small{\begin{aligned} \text{Magic Max Hit} = \big\{ &\text{Spell Max Hit} * (1 + (\text{Magic Skill Level} + 1) / 200) * (1 + \text{Magic Damage Bonus} / 100)\\
For [[Magic#Ancient Magicks|Ancient Magick spells]] the max hit is simply as stated in the spell's description, and cannot be increased by the Magic Damage Bonus stat or any max hit modifiers - only the [[Combat Triangle]] damage bonus/penalty applies.
&* (1 + \text{Prayer Magic Damage Bonus} / 100) * (1 + \text{Potion Magic Damage Bonus}) \big\} \end{aligned}}</math>


[[Magic#Ancient Magicks|Ancient Magick spells]] do not use this formula. Instead, they have deal exactly the listed damage. The only modifier that affects the damage dealt by Ancient Magick spells is the [[Combat Triangle]] bonus or penalty.
For [[Magic#Standard Magic|standard spells]], first determine the max hit stated in the spell's description along with the player's effective {{Skill|Magic}} level by using the same effective level formula as [[#Melee and Ranged Max Hit|Melee and Ranged max hit]] does. The base max hit is then:


=== Damage Reduction ===
<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>


Damage Reduction 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 {{PetIcon|Defence}}.
This base max hit is then adjusted by the percentage and flat max hit modifiers to arrive at the final max hit figure, where the modifiers include both global and magic max hit increases. Any damage increases with the same element as the spell being used (such as that provided by the {{ItemIcon|Cloudburst Staff}}) are also added to the flat max hit modifier:


As of v0.17.0, there are no monsters in the game with natural Damage Reduction. However, {{MonsterIcon|Earth Guard}}s and {{MonsterIcon|Terran}} in the {{ZoneIcon|type=Dungeon|Earth God Dungeon}} have special attacks that grant them temporary Damage Reduction.
<math>\text{Max Hit} = \left \lfloor \text{Base Max Hit} \times \left ( 1 + \frac{\text{Percentage Max Hit Modifier}}{100} \right ) \right \rfloor + \text{Flat Max Hit Modifier}</math>


Whenever a player or monster with Damage Reduction greater than 0% would receive damage, instead the damage the damage they take is equal to:
=== Minimum Hit ===
<!-- JS source: character.js, function computeMinHit
-->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.


<math>\text{Damage Taken} = \text{Base Damage} * (1 - \text{Damage Reduction})</math>
The minimum hit calculation for normal attacks is therefore:


Note that the [[Combat Triangle]] will affect how much damage reduction the player has if they are using a different style from the monster.
<math>\begin{aligned}\text{Min Hit} = \min(\max(&\left \lfloor 1 + \text{Max Hit} \times \text{Percentage Max Hit added to Min Hit Modifier} \right \rfloor \\
&+ \text{Flat Min Hit Modifier}, 1), \text{Max Hit})\end{aligned}</math>


=== Evasion Rating ===
===Calculating Damage Dealt===
==== Melee Evasion Rating ====
 
The first formula is used to calculate the player's Effective Defence Level. The Defence Style Bonus is 1. When using the Longranged Attack Style the Defence Style Bonus is 3.
When the player hits with a normal attack, the game calculates how much damage the player actually does by rolling a number between their minimum hit and maximum hit for the chosen combat style and then applying post-roll modifiers.
 
Some effects are applied after the damage roll is done. The main two are enemy Damage Reduction and [[Player Modifiers]] that affect damage to all monsters or to a subset of monsters such as Slayer Monsters or Boss Monsters. These modifiers can increase the player's damage beyond their listed maximum hit.
 
[[Magic#Ancient Magicks|Ancient Magick spells]] are not affected by post-roll modifiers aside from enemy Damage Reduction, although weapon special attacks that do a fixed amount of damage are.
 
==== Damage Reduction ====
<!-- JS source: character.js, function computeDamageReduction
-->{{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>


<math> \small{\begin{aligned} \text{Effective Defence Level} = \text{Defence Skill Level} + 8 + \text{Defence Style Bonus} \end{aligned}}</math>
Where: <math> \left \lfloor x \right \rfloor </math> is the [https://en.wikipedia.org/wiki/Floor_and_ceiling_functions floor function].


The second formula is used to calculate the player's Melee Evasion Rating. Melee Defence Bonus can be found in Equipment Stats under Defensive Stats with a shield icon. The potion and prayer bonuses will be the relevant numbers written in the potion and prayer descriptions.
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> \small{\begin{aligned} \text{Evasion Rating} = \big\{ &\text{Effective Defence Level} * (\text{Melee Defence Bonus} + 64)\\
<math>\text{Damage Taken} = \left \lfloor \text{Base Damage} \times \left ( 1 - \frac{\text{Damage Reduction %}}{100} \right ) \right \rfloor</math>
&* (1 + \text{Potion Evasion Rating Bonus} / 100) * (1 + \text{Prayer Evasion Rating Bonus} / 100) \big\} \end{aligned}}</math>


==== Ranged Evasion Rating ====
==== Damage Types ====
The first formula is used to calculate the player's Effective Defence Level. Ranged Defence Style Bonus is 1.
Most weapons and enemies in the game deal Normal Damage, but there are other types of damage that a player may encounter. Each type of damage has its own form of damage negation. Equipping weapons that deal a certain damage type is required to enter combat with some monsters, particularly in the {{ItA}}[[Into the Abyss Expansion]].


<math> \small{\begin{aligned} \text{Effective Defence Level} = \text{Defence Skill Level} + 8 + \text{Ranged Defence Style Bonus} \end{aligned}}</math>
{| class="wikitable"
|+
!Location
!Damage Type
!Resistance Type
|-
| [[Realms|Melvor Realm]]
| Normal Damage
| Damage Reduction
|-
| [[Strongholds]]
| Pure Damage
| None
|-
| {{ItA}} [[Realms|Abyssal Realm]]
| Abyssal Damage
| Abyssal Resistance
|}[[Category:Manual Tables]]


The second formula is used to calculate the player's Ranged Evasion Rating. Ranged Defence Bonus can be found in Equipment Stats under Defensive Stats with a bow and arrow icon. The potion and prayer bonuses will be the relevant numbers written in the potion and prayer descriptions.
=====Normal Damage=====
'''Normal Damage''' is the standard form of damage found on all player [[Weapons]] and all [[Monsters]]. The player and all monsters have access to Damage Reduction that makes them take less of this type of damage.


<math> \small{\begin{aligned} \text{Ranged Evasion Rating} = \big\{ &\text{Effective Defence Level} * (\text{Ranged Defence Bonus} + 64)\\
=====Pure Damage=====
&* (1 + \text{Potion Evasion Rating Bonus} / 100) * (1 + \text{Prayer Evasion Rating Bonus} / 100) \big\} \end{aligned}}</math>
'''Pure Damage''' is dealt by all monsters in [[Strongholds]]. While Pure Resistance exists, it is not found on any pieces of equipment and has no source for the player. Monsters that deal Pure Damage have either Damage Reduction or Abyssal Resistance, depending on the [[Realms|Realm]] in which they are found.


==== Magic Evasion Rating ====
=====Abyssal Damage=====
The first formula is used to calculate the player's Effective Magic Defence Level. The result here is always rounded down to the nearest whole number.
'''Abyssal Damage''' is dealt by all monsters in the {{ItA}} [[Into the Abyss Expansion]]. '''Abyssal Resistance''' is the stat required to reduce damage by these enemies.


<math> \small{\begin{aligned} \text{Effective Magic Defence Level} = \text{Magic Skill Level} * 0.7 + \text{Defence Skill Level} * 0.3 + 9 \end{aligned}}</math>
=====Additional Damage Types=====
{{SpoilerBox|text=
There is another damage type found in the [[Into the Abyss Expansion]], Eternal Damage.  


The second formula is used to calculate the player's Magic Evasion Rating. Magic Defence Bonus can be found in Equipment Stats under Defensive Stats with a wizard hat icon. The potion and prayer bonuses will be the relevant numbers written in the potion and prayer descriptions.
Eternal Damage has extremely limited sources and cannot be resisted by enemies since none are given Eternal Resistance }}


<math> \small{\begin{aligned} \text{Magic Evasion Rating} = \big\{ &\text{Effective Magic Defence Level} * (\text{Magic Defence Bonus} + 64)\\
==== Critical Hit ====
&* (1 + \text{Potion Evasion Rating Bonus} / 100) * (1 + \text{Prayer Evasion Rating Bonus} / 100) \big\} \end{aligned}}</math>
{{Main|Reference=Combat/Boosts#Crit_Boosts|Name=Crit Boosts}}
With specific pieces of equipment, there is a chance that hits dealt by the player may become critical. A critical hit increases the damage done by 50% and can be increased with [[Combat/Boosts#Crit_Boosts#Crit Multiplier|Crit Multiplier]] boosts. This increase is multiplicative with any other damage increasing bonuses currently in effect.


=== Damage Per Hit, Average Hit, and Damage Per Second ===
The player's critical chance starts at 0% (at which point critical hits do not occur), and can be increased with [[Combat/Boosts#Crit_Boosts#Crit Chance|Crit Chance]] boosts. Having a Crit Chance above 100% will not provide any additional chance of extra damage.


If a player or monster successfully connects with an attack, the damage dealt will be a random value between their minimum and maximum hit. If no relevant equipment or Auroras are active, the player's minimum hit is 1. The minimum hit is applied after all strength and damage bonuses are calculated, which means that only bonuses that directly impact minimum hit will affect minimum hit. (in other words, if a player's minimum hit is 40 and they have +10% damage, they still have a minimum hit of 40 rather than 44)
==== Damage Per Hit, Average Hit, and Damage Per Second ====
If a player or monster successfully connects with an attack, the damage dealt will be a random integer value between their minimum and maximum hit (inclusive). This random value is uniformly distributed, or in other words any value between and including the minimum and maximum hit is equally likely to be rolled.


Damage Reduction is applied after this initial damage per hit is calculated, which means it is possible for a player to deal less than their minimum hit against a monster that has Damage Reduction.
Damage Reduction is applied after this initial damage per hit is calculated, which means it is possible for a player to deal less than their minimum hit against a monster that has Damage Reduction.
Line 215: Line 299:
The player's average hit is thus:
The player's average hit is thus:


<math>\small{\begin{aligned} \text{Average Hit} = ((\text{Max Hit} + \text{Min Hit}) / 2) * (1 - \text{Enemy DR}) \end{aligned}}</math>
<math>\text{Average Hit} = \frac{\text{Max Hit} + \text{Min Hit}}{2} \times (1 - \text{Enemy DR})</math>


And their damage per second can be calculated as:
And their damage per second can be calculated as:


<math>\small{\begin{aligned} \text{DPS} = (\text{Average Hit} / \text{Attack Speed}) * \text{Hit Chance} \end{aligned}}</math>
<math>\text{DPS} = \frac{\text{Average Hit}}{\text{Attack Speed (Seconds)}} \times \text{Hit Chance}</math>
 
=== Evasion Rating ===
<!-- JS source: character.js, function computeEvasion
-->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}}.
 
==== Melee and Ranged Evasion Rating ====
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 -->
 
==== Magic Evasion Rating ====
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>
 


{{Menu}}
{{Menu}}
[[Category:Guides]]

Latest revision as of 17:41, 24 October 2024

Combat
Combat page.
Farmlands combat area selected.
Fighting a Chicken.
Death screen.

Combat involves fighting various monsters throughout the combat areas, slayer areas, and dungeons of Melvor. Food and Equipment cannot be changed while in a dungeon unless an upgrade has been purchased from the shop.

Combat stats — viewable from the combat page — are affected by the player's combat skills and any Equipment worn. The combat skills are

Error creating thumbnail: File missing
Attack

,

Error creating thumbnail: File missing
Strength

,

Error creating thumbnail: File missing
Defence

,

Error creating thumbnail: File missing
Hitpoints

,

Error creating thumbnail: File missing
Ranged

,

Error creating thumbnail: File missing
Magic

,

Error creating thumbnail: File missing
Prayer

, and

Error creating thumbnail: File missing
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.svg 153), while monsters range from combat level 1 to 1300.

Combat Info

  • 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 bones and are used to activate prayers during combat.
  • Active Prayers provide bonuses to the player during combat and use Prayer Points to remain active. Up to two prayers can be active simultaneously, so long as the required Prayer Points are available.

Basic Combat

To fight monsters navigate to the combat page by selecting any combat skill from the left menu. The combat page contains three tabs containing the locations where monsters can be fought, above a section for equipment and combat stats. Browse combat areas, slayer areas, or dungeons to reveal a menu containing all the relevant locations. Selecting a location will display the enemies which can be found there, along with their Hitpoints, Combat Level, and Attack Type. Selecting "Fight" will begin combat. Combat will continue until the player runs, dies, or defeats the dungeon. Enemies are fought automatically. Combat skills can be trained in offline mode as long as it is toggled in the settings.

Combat skills are leveled by damaging enemies with weapons, and magic. To train a specific combat skill match the Attack Style icon with the relevant combat skill. The available Attack Styles will change depending on the type of weapon equipped. Most combat skills have a passive effect even when the relevant style is not selected. Weapons, armour, and food can be equipped for use by selecting them in the Bank. Weapons and armour provide bonuses and penalties to combat stats, while food can be used for healing in combat.

After each kill, it will take 3 seconds for the next monster to spawn.

Loot and Rewards

- See also Thieving#Loot

All monsters killed in combat and slayer areas will drop bones upon death, with a chance for additional loot based on the monster's type. The "Drops" option will display the possible loot drops a monster can give.

Any items enemies drop upon death must be looted manually by selecting "Loot All" or the item itself, unless the 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.

With the Loot Container Stacking upgrade from the Shop all loot in the Loot Container will stack.

Monsters fought in dungeons will not drop loot when killed and do not count towards

Error creating thumbnail: File missing
Slayer

Tasks. The God Dungeons are an exception to this rule: the shards are rewarded after each killed monster. When the last monster in a dungeon is killed, the player will be given a reward that is sent to the Bank automatically.

Combat Triangle

- See Combat Triangle

Special Attacks

Main article: Special Attacks

Special attacks can be used in combat to gain a slight advantage over the monster being fought. Equipping a weapon with a special attack will give your attacks a chance to perform a special attack. Only a select few high level weapons have special attacks. Several monsters can use special attacks against the player, including Malcs, the Guardian of Melvor and Prat, the Protector of Secrets from the

Error creating thumbnail: File missing
Volcanic Cave

, and all of the monsters from the four god dungeons. The attack bar will change to yellow when a special attack is being used.

Special Attacks cannot be used alongside Ancient Magicks.

Gaining Experience

Players can gain experience in nine different skills while training combat:

Error creating thumbnail: File missing
Hitpoints

experience is gained at a rate of 1.3% experience per damage dealt regardless of the combat style being used.

Error creating thumbnail: File missing
Attack

,

Error creating thumbnail: File missing
Strength

,

Error creating thumbnail: File missing
Defence

,

Error creating thumbnail: File missing
Magic

, or

Error creating thumbnail: File missing
Ranged

experience is gained depending on the active combat style. If the selected combat style only gives experience towards a single skill, 4% experience will be gained per damage dealt. If the selected combat style is a hybrid combat style, 2% experience will be gained by each of the two relevant skills for each damage dealt. No additional

Error creating thumbnail: File missing
Magic

experience is directly generated for using Curses or Auroras, although they may indirectly generate additional experience by increasing the amount of damage the player deals. Players gain [math]\displaystyle{ \frac{1}{30} }[/math] or [math]\displaystyle{ 0.0\bar{3} }[/math]

Error creating thumbnail: File missing
Prayer

experience per damage dealt per prayer point spent on prayers that affected the attack. For example, if

Error creating thumbnail: File missing
Steel Skin

(3 prayer point cost) is active, each attack made will generate 0.1 extra experience per damage dealt. Only prayers such as

Error creating thumbnail: File missing
Thick Skin

that say 'Provides extra Prayer XP based on damage dealt to the enemy' in their description will generate experience this way - Prayers such as

Error creating thumbnail: File missing
Protect from Magic

that say 'Provides no extra Prayer XP' will not contribute towards this experience bonus.

All of the above experience will be multiplied by 1.04 while a Gold Emerald Ring is equipped.

Error creating thumbnail: File missing
Slayer

experience is gained through two sources: Killing monsters on a Slayer Task and killing monsters in a Slayer area. Killing the monster that is the player's current Slayer Task will generate experience equal to 10% of the monster's hitpoints. Killing a monster in a Slayer area will generate experience equal to 5% of the monster's hitpoints. If the player's Slayer Task is for a monster in a Slayer area, these bonuses will stack for a total of 15% of the monster's hitpoints in experience per kill. Slayer Experience cannot be increased by the Gold Emerald Ring, however the various pieces of Slayer Equipment that can be purchased from the Shop using

Error creating thumbnail: File missing
Slayer Coins

provides an experience bonus when worn.

Error creating thumbnail: File missing
Summoning

experience can be gained if the player has equipped tablets for at least one combat familiar. Summoning experience will be granted whenever the familiar attacks the enemy, consuming a tablet in the process. Being a non-combat skill, Summoning experience gained cannot be increased by the Gold Emerald Ring.

Death

Receiving damage that would bring the player's total

Error creating thumbnail: File missing
Hitpoints

to 0 or below will cause the player to die. Upon death a random equipment slot is selected, any Equipment within the selected slot will be lost forever (unless the

Error creating thumbnail: File missing
Protect Item

prayer is active). If either ammunition or Summoning tablets are lost, the entire stack - regardless of size - will be forfeited. Only non-food items that have been equipped in an active slot can be lost upon death.

All items equipped have an equal chance of being lost. When the death penalty rolls to determine which item is lost, it starts by rolling a random equipment slot. If the player has nothing equipped in that slot (For example, if they are using Melee and do not have any Ammo equipped) nothing will be lost, and a message saying "Luck was on your side today. You lost nothing." will appear. If the Decoy Idol is equipped, it will always be the item lost.

Error creating thumbnail: File missing
Hardcore

characters that die are deleted permanently. The only safe death in Hardcore mode is during the Impending Darkness Event, where death results in normal death penalties but not character deletion.

How to idle monsters

In order to idle monsters, you will need to purchase Auto Eat which costs 1,000,000GP from the Shop.

For most monsters, you will be able to start idling if your

Error creating thumbnail: File missing
Auto Eat

threshold is lower than the monster's max hit. To find your auto eat threshold, tap the

Error creating thumbnail: File missing
Auto Eat

icon below your HP bar. To find the monster's max hit, start fighting the monster and look at their "Maximum Hit" in their Offensive Stats box. This number already accounts for the Combat Triangle and your Damage Reduction. If your

Error creating thumbnail: File missing
Auto Eat

threshold is greater than or equal to the monster's max hit.

You normally are safe to idle monsters as long as you don't run out of Food, Ammo or Runes.

Other considerations

While most of this information can be found in the game, it can be difficult to check for dungeons, slayer tasks, and some late game monsters that have special attacks. Players have created tools to help check if you are safe to idle, but please note that they are liable to become out of date and inaccurate.

For more information:

To learn about modding, see the Mods section of the FAQ.

Combat Mechanics

Combat Level

The first formula is used to calculate the player's Base Combat Level.

[math]\displaystyle{ \small{ \begin{aligned} \text{Base Combat Level} = 0.25 \times (\text{Defence Skill Level} + \text{Hitpoints Skill Level} + \lfloor 0.5 \times \text{Prayer Skill Level} \rfloor) \end{aligned}} }[/math]

The second set of formulas are used to calculate the player's Offensive Combat Levels, only the highest result is used.

[math]\displaystyle{ \small{\begin{aligned} \text{Melee Combat Level} &= \text{Attack Skill Level} + \text{Strength Skill Level} \\ \text{Ranged Combat Level} &= \lfloor 1.5 \times \text{Ranged Skill Level} \rfloor \\ \text{Magic Combat Level} &= \lfloor 1.5 \times \text{Magic Skill Level} \rfloor \end{aligned}} }[/math]

The third formula is used to calculate the player's Combat Level, rounded down to the nearest whole number.

[math]\displaystyle{ \small{\begin{aligned}\text{Combat Level} = \lfloor \text{Base Combat Level} + 0.325 \times \text{Highest Offensive Combat Level} \rfloor\end{aligned}} }[/math]

Where: [math]\displaystyle{ \left \lfloor x \right \rfloor }[/math] is the floor function.

Stun (Freeze)

Main article: Freeze

Stun, also known as freeze, is a status effect that can be inflicted by both players and monsters. Stun can be applied for a number of turns by a special attack or a normal attack by the player if certain items are equipped. When an attack applies stun the current attack of the target is interrupted, including special attacks that are in progress. If the target is already stunned, it will not be applied again. When stunned, a stun timer counts down with a period equivalent to the target's attack speed. On completion of the timer the number of stun turns is decreased by one, and the status is removed if the resulting amount is zero. In addition to not being able to attack while stunned, a character cannot evade any attacks.

While a player or monster is stunned, they take 30% more damage.

While a player or monster is asleep, they take 20% more damage.

Hidden Skill Level

In effect, Hidden Skill Levels are the same as normal levels however they cannot be used to wear Equipment that you otherwise wouldn't have the level to wear. Some sources of hidden skill levels are

Error creating thumbnail: File missing
Astrology

, some Pets,Combat Style or items like the Silver Ruby Necklace.

Accuracy Rating

The calculation used to determine the player's accuracy rating is broadly the same for all combat styles, with some parameters varying depending on the player's current attack type and style:

Attack Type Attack Style Skill Level Attack Bonus Stat
Error creating thumbnail: File missing
Melee
Error creating thumbnail: File missing
Stab
Error creating thumbnail: File missing
Attack		 Stab attack bonus
Error creating thumbnail: File missing
Slash		 Slash attack bonus
Error creating thumbnail: File missing
Block		 Block attack bonus
Error creating thumbnail: File missing
Ranged		 All
Error creating thumbnail: File missing
Ranged		 Ranged attack bonus
Error creating thumbnail: File missing
Magic		 All
Error creating thumbnail: File missing
Magic		 Magic attack bonus

The first formula is used to determine the player's effective skill level:

[math]\displaystyle{ \small{\text{Effective Skill Level} = \text{Standard Skill Level} + \text{Hidden Skill Level}} }[/math]

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.svg), while 'Hidden Skill Level' is the sum of any hidden skill level bonuses, such as those granted by

Error creating thumbnail: File missing
Astrology

, some Pets or items like the Silver Ruby Necklace.

Next, the base accuracy bonus should be calculated. This is the sum of the relevant attack bonus statistic provided by all currently equipped equipment (as seen in the Equipment Stats interface), plus:

  • Error creating thumbnail: File missing
    Melee
    • +15 if fighting a
      Error creating thumbnail: File missing
      Ranged       monster while the
      Error creating thumbnail: File missing
      Minotaur      /
      Error creating thumbnail: File missing
      Centaur       synergy is active
  • Error creating thumbnail: File missing
    Ranged
    • +15 if fighting a
      Error creating thumbnail: File missing
      Magic       monster while the
      Error creating thumbnail: File missing
      Witch      /
      Error creating thumbnail: File missing
      Centaur       synergy is active
    • The additional ranged attack bonus provided by Stormsnap if equipped, the formula for this is included on the bow's page

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 Potions,

Error creating thumbnail: File missing
Agility

, and

Error creating thumbnail: File missing
Astrology

. If using

Error creating thumbnail: File missing
Surge spells

from the standard magic spellbook, this modifier is increased by a further 6%.

Finally, the player's accuracy rating can then be calculated as:

[math]\displaystyle{ \text{Accuracy Rating} = \left \lfloor \left (\text{Effective Skill Level} + 9 \right ) \times \left (\text{Base Accuracy Bonus} + 64 \right ) \times \left (1 + \frac{\text{Accuracy Modifier}}{100} \right ) \right \rfloor }[/math]

Where: [math]\displaystyle{ \left \lfloor x \right \rfloor }[/math] is the floor function.

Chance to Hit

To calculate the chance an attack will hit, the Accuracy Rating of the attacker is compared to the relevant Evasion Rating of the target. If the attacker's Accuracy Rating is lower than the defender's evasion rating the formula is as follows:

[math]\displaystyle{ \small{ \begin{aligned} \text{Percentage Hit Chance} = \frac{\text{Attacker Accuracy Rating}}{2 \times \text{Target Evasion Rating}} \times 100 \end{aligned}} }[/math]

Otherwise, the attacker's Accuracy Rating is higher than or equal to the target's Evasion Rating, and the formula is instead:

[math]\displaystyle{ \small{ \begin{aligned} \text{Percentage Hit Chance} = \left ( 1 - \frac{\text{Target Evasion Rating}}{2 \times\text{Attacker Accuracy Rating}} \right ) \times 100 \end{aligned}} }[/math]

When the attacker's Accuracy Rating and the target's Evasion Rating are the same, the chance to hit is 50%. The higher the attacker's Accuracy Rating is above the targets Evasion Rating, the less valuable each point will be. At double the target's Evasion Rating, the attacker will hit 75% of the time, at triple, the attacker will hit 83.3% of the time.

Max Hit

Main article: Max Hit Boosts

Melee and Ranged Max Hit

First, calculate the player's effective

Error creating thumbnail: File missing
Strength

level for the melee max hit, or the effective

Error creating thumbnail: File missing
Ranged

level for the ranged max hit:

[math]\displaystyle{ \small{\text{Effective Skill Level} = \text{Standard Skill Level} + \text{Hidden Skill Level}} }[/math]

Where 'Standard Skill Level' is the player's skill level as seen in the left-hand navigation bar (up to a maximum of 99), while 'Hidden Skill Level' is the sum of any hidden skill level bonuses, such as those granted by

Error creating thumbnail: File missing
Astrology

.

Next, the strength bonus should be calculated. This is the sum of the relevant statistic provided by all currently equipped equipment (as seen in the Equipment Stats interface), where the relevant statistic is:

  • Melee strength bonus for
    Error creating thumbnail: File missing
    Melee
  • Ranged strength bonus for
    Error creating thumbnail: File missing
    Ranged

Given these figures, the base max hit (i.e. max hit before modifiers) is then calculated as:

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

Where [math]\displaystyle{ M }[/math] varies based on the Game Mode being played, and is equal to:

This base max hit is then adjusted by the percentage and flat max hit modifiers to arrive at the final max hit figure, where the modifiers include both global max hit increases as well as increases specific to the relevant attack type:

[math]\displaystyle{ \text{Max Hit} = \left \lfloor \text{Base Max Hit} \times \left ( 1 + \frac{\text{Percentage Max Hit Modifier}}{100} \right ) \right \rfloor + \text{Flat Max Hit Modifier} }[/math]

Magic Max Hit

Main article: Magic Damage Boosts

The player's Max Hit with spells changes depending on the spell being used. A spell's max hit is listed in the spell's description and is different for every spell. Magic Damage Bonus can be found in the Equipment Stats interface.

For Ancient Magick spells the max hit is simply as stated in the spell's description, and cannot be increased by the Magic Damage Bonus stat or any max hit modifiers - only the Combat Triangle damage bonus/penalty applies.

For standard spells, first determine the max hit stated in the spell's description along with the player's effective

Error creating thumbnail: File missing
Magic

level by using the same effective level formula as Melee and Ranged max hit does. The base max hit is then:

[math]\displaystyle{ \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]

This base max hit is then adjusted by the percentage and flat max hit modifiers to arrive at the final max hit figure, where the modifiers include both global and magic max hit increases. Any damage increases with the same element as the spell being used (such as that provided by the Cloudburst Staff) are also added to the flat max hit modifier:

[math]\displaystyle{ \text{Max Hit} = \left \lfloor \text{Base Max Hit} \times \left ( 1 + \frac{\text{Percentage Max Hit Modifier}}{100} \right ) \right \rfloor + \text{Flat Max Hit Modifier} }[/math]

Minimum Hit

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 or 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.

The minimum hit calculation for normal attacks is therefore:

[math]\displaystyle{ \begin{aligned}\text{Min Hit} = \min(\max(&\left \lfloor 1 + \text{Max Hit} \times \text{Percentage Max Hit added to Min Hit Modifier} \right \rfloor \\ &+ \text{Flat Min Hit Modifier}, 1), \text{Max Hit})\end{aligned} }[/math]

Calculating Damage Dealt

When the player hits with a normal attack, the game calculates how much damage the player actually does by rolling a number between their minimum hit and maximum hit for the chosen combat style and then applying post-roll modifiers.

Some effects are applied after the damage roll is done. The main two are enemy Damage Reduction and Player Modifiers that affect damage to all monsters or to a subset of monsters such as Slayer Monsters or Boss Monsters. These modifiers can increase the player's damage beyond their listed maximum hit.

Ancient Magick spells are not affected by post-roll modifiers aside from enemy Damage Reduction, although weapon special attacks that do a fixed amount of damage are.

Damage Reduction

Main article: 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 Damage Reduction Potion or

Error creating thumbnail: File missing
Leonardo

.

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 attacks or passive effect which temporarily grant additional damage reduction, such as Stone Wall used by 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.svg 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]\displaystyle{ \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]\displaystyle{ \left \lfloor x \right \rfloor }[/math] is the 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]\displaystyle{ \text{Damage Taken} = \left \lfloor \text{Base Damage} \times \left ( 1 - \frac{\text{Damage Reduction %}}{100} \right ) \right \rfloor }[/math]

Damage Types

Most weapons and enemies in the game deal Normal Damage, but there are other types of damage that a player may encounter. Each type of damage has its own form of damage negation. Equipping weapons that deal a certain damage type is required to enter combat with some monsters, particularly in the

Error creating thumbnail: File missing

Into the Abyss Expansion.

Location Damage Type Resistance Type
Melvor Realm Normal Damage Damage Reduction
Strongholds Pure Damage None
Error creating thumbnail: File missing
 Abyssal Realm 		Abyssal Damage Abyssal Resistance
Normal Damage

Normal Damage is the standard form of damage found on all player Weapons and all Monsters. The player and all monsters have access to Damage Reduction that makes them take less of this type of damage.

Pure Damage

Pure Damage is dealt by all monsters in Strongholds. While Pure Resistance exists, it is not found on any pieces of equipment and has no source for the player. Monsters that deal Pure Damage have either Damage Reduction or Abyssal Resistance, depending on the Realm in which they are found.

Abyssal Damage

Abyssal Damage is dealt by all monsters in the

Error creating thumbnail: File missing

Into the Abyss Expansion. Abyssal Resistance is the stat required to reduce damage by these enemies.

Additional Damage Types
The following content contains spoilers! Expand to view.
There is another damage type found in the Into the Abyss Expansion, Eternal Damage.

Eternal Damage has extremely limited sources and cannot be resisted by enemies since none are given Eternal Resistance

Critical Hit

Main article: Crit Boosts

With specific pieces of equipment, there is a chance that hits dealt by the player may become critical. A critical hit increases the damage done by 50% and can be increased with Crit Multiplier boosts. 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 with Crit Chance boosts. Having a Crit Chance above 100% will not provide any additional chance of extra damage.

Damage Per Hit, Average Hit, and Damage Per Second

If a player or monster successfully connects with an attack, the damage dealt will be a random integer value between their minimum and maximum hit (inclusive). This random value is uniformly distributed, or in other words any value between and including the minimum and maximum hit is equally likely to be rolled.

Damage Reduction is applied after this initial damage per hit is calculated, which means it is possible for a player to deal less than their minimum hit against a monster that has Damage Reduction.

The player's average hit is thus:

[math]\displaystyle{ \text{Average Hit} = \frac{\text{Max Hit} + \text{Min Hit}}{2} \times (1 - \text{Enemy DR}) }[/math]

And their damage per second can be calculated as:

[math]\displaystyle{ \text{DPS} = \frac{\text{Average Hit}}{\text{Attack Speed (Seconds)}} \times \text{Hit Chance} }[/math]

Evasion Rating

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]\displaystyle{ \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 Potions,

Error creating thumbnail: File missing
Agility

, and

Error creating thumbnail: File missing
Astrology

.

Melee and Ranged Evasion Rating

First determine the relevant defence bonus, this will be the melee defence bonus for the

Error creating thumbnail: File missing
Melee

evasion rating, or the ranged defence bonus for the

Error creating thumbnail: File missing
Ranged

evasion rating. These stats can be found in the Equipment Stats interface.

Given this, the evasion rating is then:

[math]\displaystyle{ \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]

Magic Evasion Rating

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]\displaystyle{ \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]\displaystyle{ \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]


Melvor Idle version v1.3.1 (Released: 30th October 2024)
Error creating thumbnail: File missing
Combat:
Error creating thumbnail: File missing
Attack •
Error creating thumbnail: File missing
Strength •
Error creating thumbnail: File missing
Defence •
Error creating thumbnail: File missing
Hitpoints •
Error creating thumbnail: File missing
Ranged •
Error creating thumbnail: File missing
Magic •
Error creating thumbnail: File missing
Prayer •
Error creating thumbnail: File missing
Slayer •
Error creating thumbnail: File missing
Corruption
Skills:
Error creating thumbnail: File missing
Farming •
Error creating thumbnail: File missing
Township •
Error creating thumbnail: File missing
Woodcutting •
Error creating thumbnail: File missing
Fishing •
Error creating thumbnail: File missing
Firemaking •
Error creating thumbnail: File missing
Cooking •
Error creating thumbnail: File missing
Mining •
Error creating thumbnail: File missing
Smithing •
Error creating thumbnail: File missing
Thieving •
Error creating thumbnail: File missing
Fletching •
Error creating thumbnail: File missing
Crafting •
Error creating thumbnail: File missing
Runecrafting •
Error creating thumbnail: File missing
Herblore •
Error creating thumbnail: File missing
Agility •
Error creating thumbnail: File missing
Summoning •
Error creating thumbnail: File missing
Astrology •
Error creating thumbnail: File missing
Alternative Magic •
Error creating thumbnail: File missing
Cartography •
Error creating thumbnail: File missing
Archaeology •
Error creating thumbnail: File missing
Harvesting
Other:
Error creating thumbnail: File missing
Beginners Guide • Guides •
Error creating thumbnail: File missing
Bank •
Error creating thumbnail: File missing
Combat •
Error creating thumbnail: File missing
Mastery •
Error creating thumbnail: File missing
Money Making •
Error creating thumbnail: File missing
Shop • Easter Eggs • Pets •
Error creating thumbnail: File missing
Golbin Raid •
Error creating thumbnail: File missing
Full Version • Throne of the Herald • Atlas of Discovery •
Error creating thumbnail: File missing
Into the Abyss
Reference Tables: Items, Equipment, Experience Table, Upgrading Items, Combat Areas, Slayer Areas, Dungeons, Strongholds, The Abyss, Monsters
Retrieved from "https://testwiki.melvoridle.com/index.php?title=Combat&oldid=83315"