Avg DPS - Adding Elemental Damage

When dealing with Avg DPS it would be amiss to not discuss the effect of elemental damage (Poison, Divine, Shadow, Fire Ice) when it applies to weapons. Assuming one doesn't miss and the elemental attack is not resisted, additional elemental damage can increase the Avg DPS significantly.

Contents 1 What gets applied? 2 Effect of Adding Elemental Damage to Avg DPS 2.1 Example - Dual Wield, Avg DPS (Elemental) 3 Rounding Errors

What gets applied?

Assuming a weapon attack does not miss and the elemental damage is not resisted; consider the following list:

1. + Poison Damage per Second to Weapon Attack
2. + Damage per Second to Poison Attacks
3. + % to all Poison Damage
4. and the following Toxic Talent buff:

Rank 15

Increases all Poison Damage by 558 damage per second for 30 seconds.

80 second cool down

Item #1: + Poison Damage per Second to Weapon Attack

This is pretty self-explanatory. Every time an attack is made Poison Damage is added.

Item #2: + Damage per Second to Poison Attacks

This requires some clarification. The common mistake is that is is automatically added to weapon DPS.

It is not.

For this damage to be applied a Poison Attack has to be made, either by a Poison Skill or with Item #1.

Simply having items with this type of bonus by itself will not add to the weapon attack.

Item #3: + % to all Poison Damage

This implies that there is a %bonus is applied only if Poison Damage occurs. Again, for it to apply, Item #1 or a Poison Skill must be applying Poison Damage.

Item #4: "...increases all Poison Damage by 558 DPS..."

Similar to Item #3 this bonus Poison DPS is only applied if Item #1 or a Poison Skill are applying Poison Damage.

There is also the consideration that the Toxic Talent Self Buff is only some of the time.

To summarize, you need Item #1 to make all the others add to the Avg DPS of a weapon!

Effect of Adding Elemental Damage to Avg DPS

Compared to some of the other bonus types, this is simply an addition to Avg DPS.

The single elemental damage added to any weapon attack, be it a single weapon or a dual wieled weapons, may vary with speed, but the overall Elemental DPS will remain the same. It does not matter if the bonuses appears on worn items, wielded items or even on only one wielded item of a dual wield situation.

What does matter, is that the conditions in the previous section are satisified.

Basically,

Avg DPS (Elemental) =  Avg DPS + [8 Fire ] + [8 Ice ] + [8 Divine ] + [8 Shadow ] + [8 Poison ]        [7]

Where:

[8A]  =  ( Element DPS Weap Attk + DPS Element Attks ) x ( 1 + %Element )

or, when considering buffs like Toxic Talent:

[8B]  =  ( 30 x ( Element DPS Weap Attk + DPS Element Attks + Element Buff DPS )  +   50 x ( Element DPS Weap Attk + DPS Element Attks ) 80 ) x ( 1 + %Element )

And substituting appropriate Fire, Ice, Divine, Shadow, Poison for "Element"

The Buffs equation basically says that during continuous buff operation:

For 30 out of 80 seconds, the buff damage counts and for 50 out of 80 seconds, the buff damage does not count.

Based on an 80 second cool down and a 30 second buff duration.

Example - Dual Wield, Avg DPS (Elemental)

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A Dual Wielding Fighter, from his character sheet: Main Min Damage = 1000 and Main Max Damage = 2500 Main Attack Speed = 0.38 seconds / attack Offhand Min Damage = 1900 and Main Max Damage = 4300 Offhand Attack Speed = 0.63 seconds / attack and is using both: Divine Ascendancy: Rank 15, +558 Divine Damage per Second Chilling Touch: Rank 9, +341 Ice Damage per Second Additionally, the Fighter has the following bonuses equipped/wielded: + 48 Divine Damage per Second to Weapon Attack + 63 Ice Damage per Second to Weapon Attack + 3% to all Poison Damage + 22 Damage per Second to Divine Attacks + 9 Damage per Second to Poison Attacks + 2% to all Divine Damage + 85 Shadow Damage per Second to Weapon Attack

First, calculate Avg DPS:

Avg DPS =	( 1000 + 2500 + 1900 + 4300 )  2 x (0.38 + 0.63)
Avg DPS =	4802 DPS

Second, look for "...to Weapon Attack" and eliminate elements without this phrase:

+ 48 Divine Damage per Second to Weapon Attack

+ 22 Damage per Second to Divine Attacks

Divine Ascendancy: Rank 15, +558 Divine Damage per Second

+ 2% to all Divine Damage

---

+ 63 Ice Damage per Second to Weapon Attack

Chilling Touch: Rank 9, +341 Ice Damage per Second

---

+ 85 Shadow Damage per Second to Weapon Attack

The Poison stats listed do not apply.

Elements with Buffs use equation [8B].

Elements without Buffs use equation [8A].

[ 8A Shadow ]  =	( 85 + 0 ) x ( 1 + 0/100 )
[ 8A Shadow ]  =	85 DPS
[ 8B Divine ]  =	( 30 x ( 48 + 22 + 558 )  +   50 x ( 48 + 22 ) 80 ) x ( 1 + 2/100 )
=	( 30 x ( 628 ) + 50 x ( 70 ) 80 ) x ( 1 + 0.02 )
=	( 18840 + 3500 80 ) x ( 1.02 )
[ 8B Divine ]  =	285 DPS
[ 8B Ice ]  =	( 30 x ( 63 + 0 + 341 )  +   50 x ( 63 + 0 ) 80 ) x ( 1 + 0/100 )
=	( 30 x ( 404 ) + 50 x ( 63 ) 80 ) x ( 1 + 0 )
=	( 12120 + 3150 80 ) x ( 1.0 )
[ 8B Ice ]  =	191 DPS

And finally, add them all up:

Avg DPS (Elemental) =	Avg DPS + [ 8A Shadow ] + [ 8B Divine ] + [ 8B Ice ]
=	4802 + 85 +285 + 191
Avg DPS (Elemental) =	5363 DPS

Rounding Errors

Fractional numbers in Dungeon Runners are represented as 8-bit fractions in logic calculations. There is a possibility that the calculations shown may not exactly match what will be displayed on the the Character Sheet.
There is an additional possibility that attack speeds may be (further) rounded due to animation and frame rate considerations.

See: Rounding Errors for more detailed information and sample calculation.