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(Renamed the DPS section to Weapon DPS and added a section on Spell DPS)
(→‎Spell DPS: more specific DPS formula)
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:''Were you looking for the article on the [[damage dealer]]?''
== Weapon Damage Per Second (DPS) Formula ==
 
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{{cleanup}}
   
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'''Damage per second''' ('''DPS''') is a measure of the damage dealt by a person or group over one second. DPS is a more practical measure of damage output than plain [[damage]], as it allows characters of differing levels and classes to effectively compare their damage output.
The general formula for your weapon's [[DPS]] is:
 
   
  +
The term DPS is also sometimes used to describe the act of applying damage to a target (as in "all DPS on the boss" or "stop all DPS"), or to refer to a class whose primary role in a group is dealing damage (as in "Arcatraz group needs one more DPS to roll"), i.e. [[damage dealer]].
<pre>((Min Weapon Damage + Max Weapon Damage) / 2) / Weapon Speed</pre>
 
   
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== Burst DPS ==
So, for example a {{loot|Epic|Sand Polished Hammer}} with minimum damage of 97, a maximum damage of 181, and a weapon speed of 2.60, the formula would be:
 
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"Burst DPS" refers to damage dealt over a relatively short period of time. High burst damage is the preferable form of damage against targets with relatively low [[health]]. Most classes have at least a few spells or abilities that generate high damage very quickly.
<pre>
 
DPS = ((Min Weapon Damage + Max Weapon Damage) / 2) / Weapon Speed
 
DPS = ((97 + 181) / 2) / 2.60
 
DPS = (278 / 2) / 2.60
 
DPS = 139 / 2.60
 
DPS = 53.46
 
DPS = 53.5
 
</pre>
 
   
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[[Mage]]s can deal high burst DPS due to the high damage caused by some of their spells, such as [[Fire Blast]] and [[Ice lance]].
Some weapons also have extra damage, e.g. "Holy Damage". This should be factored in by adding the min and max values to the the above averaged weapon damage. Suppose the above hammer dealt an additional 20 - 40 Holy Damage. Then the formula would look like:
 
   
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Dagger-wielding [[rogue]]s have several abilities that produce very high damage very quickly, such as [[Ambush]], [[Backstab]], and [[Mutilate]].
<pre>
 
DPS = ((Min Weapon Damage + Max Weapon Damage + Min Extra Damage + Max Extra Damage) / 2) / Weapon Speed
 
DPS = ((97 + 181 + 20 + 40) / 2) / 2.60
 
DPS = (338 / 2) / 2.60
 
DPS = 169 / 2.60
 
DPS = 65.0
 
</pre>
 
   
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Enhancement [[shaman]]s are well-known for their burst capacity thanks to the [[Windfury]] [[proc]]s, which are completed by Shock spells.
== Formula for: Tooltip DPS & Damage Range:<br /> ==
 
'''Damage Ranges (for melee):'''
 
<pre>
 
Minimum Range = (((Minimum damage / Weapon Speed) + (Melee Attack Power / 14)) * (Weapon Speed)) * (Dual Wield Penalty)
 
Maximum Range = (((Maximum damage / Weapon Speed) + (Melee Attack Power / 14)) * (Weapon Speed)) * (Dual Wield Penalty)
 
</pre>
 
Note: Dual Wield Penalty only applies to off-hand weapons and can change depending on how you are spec'd.<br />
 
Example: A rogue with dual-wielding specialization at 5/5 would use 0.75 as the penalty value, for dual-wielding specialization 0/5 you would use 0.5 as the penalty value.<br />
 
   
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== Sustained DPS ==
'''Damage Ranges (for ranged):'''
 
  +
Sustained DPS refers to constant damage dealt over an extended period of time. High sustained damage is the preferable form of damage against targets with relatively high [[health]].
<pre>
 
Minimum Range = (((Minimum damage + Scope damage bonus) / Weapon Speed) + (Ranged Attack Power / 14) + Ammo DPS bonus) * Weapon Speed
 
Maximum Range = (((Maximum damage + Scope damage bonus) / Weapon Speed) + (Ranged Attack Power / 14) + Ammo DPS bonus) * Weapon Speed
 
</pre>
 
   
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Because their [[energy]] regenerates quickly, [[rogue]]s and [[Cat Form]] [[druid]]s can deal high sustained DPS because they can keep fighting as long as they have health.
Note: "Weapon Speed" is your actual fixed value on your weapon, not your [[Attack speed]].<br />
 
<br />
 
'''Tooltip DPS<br />'''
 
<pre>
 
DPS = ((Minimum Range + Maximum Range) / 2) / Attack Speed
 
</pre>
 
Note: "Attack speed" is not your fixed value on your weapon. It is adjusted for any speed enchants/buffs/procs.<br />
 
<br />
 
'''Example #1 (melee):<br />'''
 
(Rounding error is considered in all formulae.)
 
   
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[[Shaman]]s can deal both burst and medium sustained DPS. Enhancement shamans can dual wield, and with a fast offhand weapon, they can keep Flurry and Unleashed Rage up with offhand crits for good sustained DPS. On the other hand, a slow 2-handed weapon provides very good Burst DPS whenever Windfury procs. Dual-wielding two slow weapons (around 2.6 seconds each) will allow Windfury to proc as much as possible. See the [[Windfury Weapon]] article for more details.
1354 Attack Power<br />
 
5/5 Dual-wield specialization = 75% damage from off-hand = 0.75<br />
 
[[Slice and Dice]] activated (30% speed increase)<br />
 
<br />
 
'''Main Hand:''' {{loot|Epic|Vindicator's Brand}}
 
<pre>Weapon speed: 2.60
 
Minimum damage: 147
 
Maximum damage: 275
 
   
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[[Paladin]]s have decent sustained DPS and some have been known to out DPS the more 'pure' DPS classes. When they have the proper buffs and seals active and are geared correctly, retribution paladins can deal high amounts of damage for long periods of time. Blizzard has recently buffed the retribution tree to increase Paladins sustained DPS so that they are more useful in raids.
Minimum Range = ((147 / 2.6) + (1354 / 14)) * 2.6 = 398.46
 
Maximum Range = ((275 / 2.6) + (1354 / 14)) * 2.6 = 526.46
 
Attack Speed = 2.60 / (30 / 100 + 1) = 2.00 (would be 2.60 if no haste effects were on)
 
DPS = ((398.46 + 526.46) / 2) / 2.00 = 231.23 (would be 177.87 if no haste effects were on)
 
</pre>
 
'''Off Hand:''' {{loot|Epic|Fireguard}}
 
<pre>Weapon speed: 1.60
 
Minimum damage: 94
 
Maximum damage: 176
 
   
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[[Warrior]]s and [[Dire Bear Form]] [[Druid]]s are also adept at sustained DPS due to the [[rage]] system which allows them to use more of their abilities as they gain more rage, which accumulates from both taking and dealing damage. Because of this, they become more deadly as fights continue, whereas other classes that are reliant on [[mana]], such as [[mage]]s, [[Moonkin Form]] [[Druid]]s and [[priest]]s, will occasionally be forced to reduce or halt their attack.
Minimum Range = (((94 / 1.6) + (1354 / 14)) * 1.60) * 0.75 = 186.56
 
Maximum Range = (((176 / 1.6) + (1354 / 14)) * 1.60) * 0.75 = 248.06
 
Attack Speed = 1.60 / (30 / 100 + 1) = 1.23 (would be 1.60 if no haste effects were on)
 
DPS = ((186.56 + 248.06) / 2) / 1.23 = 176.56 (would be 135.82 if no haste effects were on)
 
</pre>
 
   
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[[Hunter]]s have decent sustained DPS, as even when their [[mana]] runs low, they do not have to rely on secondary attacks to continue dealing damage. This is in contrast to primary casters, who need to switch to wands (a secondary attack which usually has a much lower DPS rate than casting) to deal damage when out of [[mana]].
'''Example #2 (ranged):<br />'''
 
1323 Ranged Attack Power<br />
 
5/5 Serpent's Swiftness = 20% increase in Ranged Combat Attack Speed<br />
 
{{loot|Rare|Clefthoof Hide Quiver}} = 15% increase in Ranged Combat Attack Speed<br />
 
<br />
 
'''Ranged Weapon:''' {{loot|Rare|Valanos' Longbow}}<br />
 
With a {{loot|Uncommon|Adamantite Scope}} attached (+10 damage)<br />
 
Firing {{loot|Rare|Halaani Razorshaft}} ammunition (Adds 34 DPS)<br />
 
<pre>Weapon speed: 2.80
 
Minimum damage: 130
 
Maximum damage: 242
 
   
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[[Warlock]]s also have very good sustained [[DPS]], thanks to their [[DoT]] spells. Because [[Life Tap]] allows them to exchange [[health]] for [[mana]] they can continue casting when other spell-casters must stop casting, which lets them maintain a good level of sustained DPS.
Minimum Range = ((((130 + 10) / 2.80) + (1323 / 14) + 34) * 2.80 = 499.80
 
Maximum Range = ((((242 + 10) / 2.80) + (1323 / 14) + 34) * 2.80 = 611.80
 
Attack Speed = (2.80 / (20 / 100 + 1)) / (15 / 100 + 1) = 2.03
 
DPS = ((499.8 + 611.8) / 2) / 2.03 = 273.8
 
</pre>
 
   
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== Weapon DPS ==
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Weapons will often be quoted along with a DPS figure. This provides a useful means of comparing weapons; however, your personal DPS using that weapon will vary hugely depending on your level, your stats, the [[mob]]s you are fighting, and many other factors.
   
== Spell Damage Per Second (DPS) Formula ==
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== Spell DPS ==
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Some sites will quote the DPS for a spell. This may be calculated as Damage / (Cast Time + Recast Time) or just as (Damage / Cast Time) so be aware of the difference. DPS monitoring tools sometimes struggle with spells due to their one-hit nature, and the ability to cast combinations of spells.
   
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With a few more details, spell direct damage DPS may be calculated as:
The general formula for your spell's [[DPS]] is:
 
  +
DPS = Hit Chance * ( Base Damage + Plus Damage * Casting Time(pre-talents)/3.5 ) * ( 1 + Critical Damage Bonus% * Crit Chance ) * Casting Time(post-talents) / (1 + Spell Haste%)
   
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and spell DOT damage may be calculated as:
<pre>(((Spell Hit %) * ((Min Spell Damage + Max Spell Damage) / 2) + Bonus Spell Damage) * (1 + (Bonus Spell Crit. Hit Damage % / 100) * (Spell Crit. Hit % /100))) / Casting Time of Spell</pre>
 
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TBD
   
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== Calculation of DPS ==
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To calculate the DPS on a weapon you need two things, Speed and Damage. Here's an example:
   
  +
[[Gladiator's Painsaw]], 208 - 313 Damage, 2.20 Speed
[[Category:Formulas and game mechanics]]
 
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  +
First, calculate the weapon's average damage:
  +
(208 + 313) / 2 = 260.5
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  +
Next, divide the average damage by the weapon's speed:
  +
260.5 / 2.2 = 118.4090909...
  +
  +
So the weapon's base DPS is 118.4.
  +
  +
The information delivered in the tooltip on your [[paper doll]] window does not take into account hit rate. Some [[addon]]s do, and may display the total average DPS in a tooltip.
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== Additional notes ==
  +
* UI modifications (such as [[Cosmos]] among many others) include tools to enable players to track their DPS.
  +
  +
[[Category:Game terms]]

Revision as of 19:05, 12 September 2008

Were you looking for the article on the damage dealer?


Damage per second (DPS) is a measure of the damage dealt by a person or group over one second. DPS is a more practical measure of damage output than plain damage, as it allows characters of differing levels and classes to effectively compare their damage output.

The term DPS is also sometimes used to describe the act of applying damage to a target (as in "all DPS on the boss" or "stop all DPS"), or to refer to a class whose primary role in a group is dealing damage (as in "Arcatraz group needs one more DPS to roll"), i.e. damage dealer.

Burst DPS

"Burst DPS" refers to damage dealt over a relatively short period of time. High burst damage is the preferable form of damage against targets with relatively low health. Most classes have at least a few spells or abilities that generate high damage very quickly.

Mages can deal high burst DPS due to the high damage caused by some of their spells, such as Spell fire fireball [Fire Blast] and Ice lance.

Dagger-wielding rogues have several abilities that produce very high damage very quickly, such as Ability rogue ambush [Ambush], Ability backstab [Backstab], and Ability rogue shadowstrikes [Mutilate].

Enhancement shamans are well-known for their burst capacity thanks to the Spell shaman unleashweapon wind [Windfury] procs, which are completed by Shock spells.

Sustained DPS

Sustained DPS refers to constant damage dealt over an extended period of time. High sustained damage is the preferable form of damage against targets with relatively high health.

Because their energy regenerates quickly, rogues and Ability druid catform [Cat Form] druids can deal high sustained DPS because they can keep fighting as long as they have health.

Shamans can deal both burst and medium sustained DPS. Enhancement shamans can dual wield, and with a fast offhand weapon, they can keep Flurry and Unleashed Rage up with offhand crits for good sustained DPS. On the other hand, a slow 2-handed weapon provides very good Burst DPS whenever Windfury procs. Dual-wielding two slow weapons (around 2.6 seconds each) will allow Windfury to proc as much as possible. See the Spell shaman unleashweapon wind [Windfury Weapon] article for more details.

Paladins have decent sustained DPS and some have been known to out DPS the more 'pure' DPS classes. When they have the proper buffs and seals active and are geared correctly, retribution paladins can deal high amounts of damage for long periods of time. Blizzard has recently buffed the retribution tree to increase Paladins sustained DPS so that they are more useful in raids.

Warriors and Ability racial bearform [Dire Bear Form] Druids are also adept at sustained DPS due to the rage system which allows them to use more of their abilities as they gain more rage, which accumulates from both taking and dealing damage. Because of this, they become more deadly as fights continue, whereas other classes that are reliant on mana, such as mages, Spell nature forceofnature [Moonkin Form] Druids and priests, will occasionally be forced to reduce or halt their attack.

Hunters have decent sustained DPS, as even when their mana runs low, they do not have to rely on secondary attacks to continue dealing damage. This is in contrast to primary casters, who need to switch to wands (a secondary attack which usually has a much lower DPS rate than casting) to deal damage when out of mana.

Warlocks also have very good sustained DPS, thanks to their DoT spells. Because Spell shadow burningspirit [Life Tap] allows them to exchange health for mana they can continue casting when other spell-casters must stop casting, which lets them maintain a good level of sustained DPS.

Weapon DPS

Weapons will often be quoted along with a DPS figure. This provides a useful means of comparing weapons; however, your personal DPS using that weapon will vary hugely depending on your level, your stats, the mobs you are fighting, and many other factors.

Spell DPS

Some sites will quote the DPS for a spell. This may be calculated as Damage / (Cast Time + Recast Time) or just as (Damage / Cast Time) so be aware of the difference. DPS monitoring tools sometimes struggle with spells due to their one-hit nature, and the ability to cast combinations of spells.

With a few more details, spell direct damage DPS may be calculated as: DPS = Hit Chance * ( Base Damage + Plus Damage * Casting Time(pre-talents)/3.5 ) * ( 1 + Critical Damage Bonus% * Crit Chance ) * Casting Time(post-talents) / (1 + Spell Haste%)

and spell DOT damage may be calculated as: TBD

Calculation of DPS

To calculate the DPS on a weapon you need two things, Speed and Damage. Here's an example:

Inv weapon halberd15 [Gladiator's Painsaw], 208 - 313 Damage, 2.20 Speed

First, calculate the weapon's average damage: (208 + 313) / 2 = 260.5

Next, divide the average damage by the weapon's speed: 260.5 / 2.2 = 118.4090909...

So the weapon's base DPS is 118.4.

The information delivered in the tooltip on your paper doll window does not take into account hit rate. Some addons do, and may display the total average DPS in a tooltip.

Additional notes

  • UI modifications (such as Cosmos among many others) include tools to enable players to track their DPS.