Difference between revisions of "Damage Calculations"

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While calculating your final damage output, the damage increase effect from the items, [[skills]] and [[statistics]] is mainly applied as a fraction of the weapon damage while the damage modifier effects function on the total damage after the damage increases have been applied.
 
While calculating your final damage output, the damage increase effect from the items, [[skills]] and [[statistics]] is mainly applied as a fraction of the weapon damage while the damage modifier effects function on the total damage after the damage increases have been applied.
  
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==Damage Increase==
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==Damage Bonus==
 
The base damage of a player can be increased by up to 300% which is limited to 100% from the sum of items and [[Chivalry]]'s [[Divine Fury]]. In other words, you can increase your weapon base damage by four times. Base player damage is calculated using the following formulas:
 
The base damage of a player can be increased by up to 300% which is limited to 100% from the sum of items and [[Chivalry]]'s [[Divine Fury]]. In other words, you can increase your weapon base damage by four times. Base player damage is calculated using the following formulas:
  
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*'''[[Anatomy]] Damage Bonus''' (Percentage)
 
*'''[[Anatomy]] Damage Bonus''' (Percentage)
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**(Skill Level/2) + 5
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**''For Anatomy Skill Levels < 100.0''
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***Anatomy Damage Bonus = Skill Level / 2
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**''For Anatomy Skill Levels >= 100.0''
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***Anatomy Damage Bonus = ( Skill Level / 2 ) + 5
  
  
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==Damage Modifiers==
 
==Damage Modifiers==
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[[Slayer]] weapons and abilities like [[Consecrate Weapon]] and [[Enemy of One]] provide damage modifier effects which take the final base damage above and multiply it. Your total damage modifiers can be up to 300% or three times the base damage. On the other hand, the damage increase bonus provided by some of the abilities, like [[Divine Fury]], are subject to the 100% damage increase cap from items and they do not provide damage modifier effect.
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[[Slayer]] weapons and abilities like [[Perfection]],[[Consecrate Weapon]],[[Enemy of One]], [[Inspire]], [[Stone Form]],and [[Warrior's Gifts]] provide damage modifier effects which take the final base damage above and multiply it. Your total damage modifiers can be up to 300% or three times the base damage. On the other hand, the damage increase bonus provided by some of the abilities, like [[Divine Fury]], are subject to the 100% damage increase cap from items and they do not provide damage modifier effect.
  
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Note that while both the base damage increase and the damage modifier effects are said to be capped at 300% for [[PvM]], the base damage is '''''increased''''' by an additional 300% which makes it '''four times the base weapon damage''' while the damage modifier is '''''multiplied''''' by 300% which makes it '''three times the final base damage'''. In other words, the lesser slayer weapons alone achieve the maximum damage modifier effect. To put it into perspective, your total damage modifiers can be up to 3x the final base damage.  
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A [[Quiver]] lists that it has damage modifier, but in fact it gives damage increase.
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Note that while both the base damage increase and the damage modifier effects are said to be capped at 300% for [[PvM]], the base damage is '''''increased''''' by an additional 300% which makes it '''four times the base weapon damage''' while the damage modifier is '''''multiplied''''' by 300% which makes it '''three times the final base damage'''.To put it into perspective, your total damage modifiers can be up to 3x the final base damage.  
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Once you have the base damage, the outgoing damage is: floor(base damage*clamp(Π(1+dm),1,3))
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multiply all the damage modifiers together, and then cap at 3, then multiply by base damage, and finally drop anything after the decimal
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A lesser slayer provides the entire damage modifier cap of 3 by itself
  
 
===Example===
 
===Example===
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'''Damage Increase from Items''' = '''100%'''
 
'''Damage Increase from Items''' = '''100%'''
  
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'''Total Damage Bonus''' = 81.25 + 65 + 0 + 35 + 100 = '''287.75%'''
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'''Total Damage Bonus''' = 81.25 + 65 + 0 + 41 + 100 = '''287.25%'''
  
  
 
Now, final damage using a weapon with a base damage of '''15 - 19''' can be calculated as follows:
 
Now, final damage using a weapon with a base damage of '''15 - 19''' can be calculated as follows:
  
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*'''Min Final Base Damage''' = 15 + (15 * 2.8775) = '''58'''
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*'''Min Final Base Damage''' = 15 + (15 * 2.8725) = '''58'''
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*'''Max Final Base Damage''' = 19 + (19 * 2.8775) = '''73'''
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*'''Max Final Base Damage''' = 19 + (19 * 2.8725) = '''73'''
  
  
 
This means the base damage range for these specified values is '''58 - 73'''.
 
This means the base damage range for these specified values is '''58 - 73'''.
  
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Assume that you use a super slayer bow which provides x2 (100% + 100% bonus) damage modifier bonus. This will simply yield:
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 +
*'''Min Final Damage''' = 58 * 2 = '''116'''
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*'''Max Final Damage''' = 73 * 2 = '''146'''
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 +
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Now imagine the same situation, but with 5% damage modifier from Warrior's Gifts:
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 +
*'''Min Final Damage''' = floor(58 * 2 * 1.05) = '''121'''
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*'''Max Final Damage''' = floor(73 * 2 * 1.05) = '''153'''
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 +
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What if we throw on even more modifiers? in this case 50% from [[Enemy of One]]:
  
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Assume that you use a [[Bow]] with [[Physical Damage]] against a creature that has 30% [[Physical Resist]] (100% - 30% = 70% of the damage is dealt while 30% of the damage is resisted). A super slayer bow which provides x2 (100% + 100% bonus) damage modifier bonus will yield:
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*'''Min Final Damage''' = floor(58 * clamp(2 * 1.05 * 1.5,1,3)) = floor(58 * clamp(3.15,1,3)) = 58 * 3 = '''174'''
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*'''Max Final Damage''' = floor(73 * clamp(2 * 1.05 * 1.5,1,3)) = floor(73 * clamp(3.15,1,3)) = 73 * 3 =  '''219'''
  
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*'''Min Final Damage''' = (58 * (1 - 0.3) ) * 2 = '''81'''
 
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*'''Max Final Damage''' = (73 * (1 - 0.3) ) * 2 = '''102'''
 
  
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In this case, the total damage modifier exceeds 3, so it gets capped at 3
  
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Using a lesser slayer bow which provides x3 (100% + 200% bonus) damage modifier bonus will yield:
 
  
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*'''Min Final Damage''' = (58 * (1 - 0.3) ) * 3 = '''121'''
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Finally, don't forget that the target also has [[Resistances]], which reduce(or increase when negative) the damage actually received by their listed percentage
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*'''Max Final Damage''' = (73 * (1 - 0.3) ) * 3 = '''153'''
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==See Also==
 
==See Also==

Latest revision as of 14:37, 15 April 2024

While calculating your final damage output, the damage increase effect from the items, skills and statistics is mainly applied as a fraction of the weapon damage while the damage modifier effects function on the total damage after the damage increases have been applied.

Damage Bonus

The base damage of a player can be increased by up to 300% which is limited to 100% from the sum of items and Chivalry's Divine Fury. In other words, you can increase your weapon base damage by four times. Base player damage is calculated using the following formulas:

  • Tactics Damage Bonus (Percentage)
    • For Tactics Skill Levels < 100.0
      • Tactics Damage Bonus = Skill Level/1.6
    • For Tactics Skill Levels >= 100.0
      • Tactics Damage Bonus = Skill Level/1.6 + 6.25


  • Anatomy Damage Bonus (Percentage)
    • For Anatomy Skill Levels < 100.0
      • Anatomy Damage Bonus = Skill Level / 2
    • For Anatomy Skill Levels >= 100.0
      • Anatomy Damage Bonus = ( Skill Level / 2 ) + 5


  • Lumberjacking Damage Bonus (Percentage)
    • For Lumberjacking Skill Levels < 100.0
      • Skill Level/5
    • For Lumberjacking Skill Levels = 100.0
      • (Skill Level/5) + 10
  • 100 Lumberjacking Bonus is +30% Damage Bonus


  • Strength Damage Bonus (Percentage)
    • For Strength < 100
      • Strength * 0.3
    • For Strength >= 100
      • (Strength * 0.3) + 5

100 Strength is 30% bonus. 125 Strength is 42.5% bonus 150 Strength is 50% bonus.


  • Total Damage Bonus (Percentage )
    • Tactics Damage Bonus + Anatomy Damage Bonus + Lumberjacking Damage Bonus + Strength Damage Bonus + SUM(Damage Increase Items)


Final Damage = Base Damage + (Base Damage * Final Damage Bonus)

  • The Final Damage value drops any fractions at this step.

Example

Assume the following statistics

  • Tactics: 120.0
  • Anatomy: 120.0
  • Lumberjack:0.0
  • Strength: 125
  • Damage Increase (Items): 100%


Tactics Damage Bonus = (120 / 1.6) + 6.25 = 81.25%

Anatomy Damage Bonus = (120 / 2) + 5 = 65%

Lumberjacking Damage Bonus = 0/5 = 0

Strength Damage Bonus = (125 * 0.3) + 5 = 42.5%

Damage Increase from Items = 100%

Total Damage Bonus = 81.25 + 65 + 0 + 42.5 + 100 = 288.75%


Now, final damage using a weapon with a base damage of 5 - 10 can be calculated as follows:

  • Min Final Base Damage = 5 + (5 * 2.8875) = 19
  • Max Final Base Damage = 10 + (10 * 2.8875) = 38


This means the base damage range for these specified values is 19 - 38.

Damage Modifiers

Slayer weapons and abilities like Perfection,Consecrate Weapon,Enemy of One, Inspire, Stone Form,and Warrior's Gifts provide damage modifier effects which take the final base damage above and multiply it. Your total damage modifiers can be up to 300% or three times the base damage. On the other hand, the damage increase bonus provided by some of the abilities, like Divine Fury, are subject to the 100% damage increase cap from items and they do not provide damage modifier effect.

A Quiver lists that it has damage modifier, but in fact it gives damage increase.

Note that while both the base damage increase and the damage modifier effects are said to be capped at 300% for PvM, the base damage is increased by an additional 300% which makes it four times the base weapon damage while the damage modifier is multiplied by 300% which makes it three times the final base damage.To put it into perspective, your total damage modifiers can be up to 3x the final base damage.

Once you have the base damage, the outgoing damage is: floor(base damage*clamp(Π(1+dm),1,3))

multiply all the damage modifiers together, and then cap at 3, then multiply by base damage, and finally drop anything after the decimal

A lesser slayer provides the entire damage modifier cap of 3 by itself

Example

Assume the following statistics

  • Tactics: 120.0
  • Anatomy: 120.0
  • Lumberjack:0.0
  • Strength: 120
  • Damage Increase (Items): 100%


Tactics Damage Bonus = (120 / 1.6) + 6.25 = 81.25%

Anatomy Damage Bonus = (120 / 2) + 5 = 65%

Lumberjacking Damage Bonus = 0/5 = 0

Strength Damage Bonus = (120 * 0.3) + 5 = 41%

Damage Increase from Items = 100%

Total Damage Bonus = 81.25 + 65 + 0 + 41 + 100 = 287.25%


Now, final damage using a weapon with a base damage of 15 - 19 can be calculated as follows:

  • Min Final Base Damage = 15 + (15 * 2.8725) = 58
  • Max Final Base Damage = 19 + (19 * 2.8725) = 73


This means the base damage range for these specified values is 58 - 73.

Assume that you use a super slayer bow which provides x2 (100% + 100% bonus) damage modifier bonus. This will simply yield:

  • Min Final Damage = 58 * 2 = 116
  • Max Final Damage = 73 * 2 = 146


Now imagine the same situation, but with 5% damage modifier from Warrior's Gifts:

  • Min Final Damage = floor(58 * 2 * 1.05) = 121
  • Max Final Damage = floor(73 * 2 * 1.05) = 153


What if we throw on even more modifiers? in this case 50% from Enemy of One:

  • Min Final Damage = floor(58 * clamp(2 * 1.05 * 1.5,1,3)) = floor(58 * clamp(3.15,1,3)) = 58 * 3 = 174
  • Max Final Damage = floor(73 * clamp(2 * 1.05 * 1.5,1,3)) = floor(73 * clamp(3.15,1,3)) = 73 * 3 = 219


In this case, the total damage modifier exceeds 3, so it gets capped at 3


Finally, don't forget that the target also has Resistances, which reduce(or increase when negative) the damage actually received by their listed percentage

See Also

References

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