Guide:Calculating Poison Damage v1.10, by onderduiker

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Some (if not all) of what follows may already be known, but to the best of my knowledge it hasn't all been collected in one place on this site. Bkelly's The Tao of Poison was an excellent source of information about poison damage for v1.09, but there are a number of changes in Diablo II: Lord of Destruction v1.10+ and the Tao hasn't been updated.


I've also posted Poison damage calculator.xls, a Microsoft Excel worksheet, in the Diablo Files forum of the Diablo III Community Forums. Even if you know how to calculate poison damage, this should make it easier.


Diablo II Strategy Guide Info:
[edit]



Introduction[edit]

While damage is displayed in points and length in seconds, both are calculated and applied using more precise units of measurement. Damage is calculated and applied in bits, and length in frames.


Damage Length
Points Bits Seconds Frames
1 256 1 25


Poison damage is displayed as the total damage applied over a length of time, but it's calculated by applying a bit rate (bit damage per frame) for a specified number of frames: a Toxic Small Charm applies 205 bit rate for 125 frames, which is displayed as 100 Poison Damage Over 5 Seconds (205*125/256 over 125/25).


Poison damage from multiple attacks doesn't stack. If a target is already poisoned, then the rate and length of that poison will be overwritten by that of any subsequent attack which has an equal or greater rate. Rates are compared after all modifiers have been applied.


When players, hirelings or pets apply poison to a poisoned monster, their poison is applied for one frame instead of the current poison: if their poison has an equal or greater rate, it then overwrites the current poison and it gets applied for its length; if their poison has a lower rate, the current poison then continues for its remaining length. Rates are compared after all modifiers have been applied.


When monsters apply poison to a poisoned player, hireling or pet, their poison is applied for one frame as well as the current poison: if their poison has an equal or greater rate, it then overwrites the current poison and it gets applied for its length; if their poison has a lower rate, the current poison then continues for its remaining length. Rabies and Poison Creeper can also apply additional frames of poison damage when applied to more than one monster.


A monster's damage regeneration is stopped if at least one bit of poison damage is applied per frame: monsters won't turn green if less than one bit of poison damage is applied per frame. Poison damage can kill monsters, hirelings and pets but will only reduce players to 1 hit point (although poison damage from a subsequent attack would kill them if they remained on 1 hit point).

Items[edit]

If a single item has both a prefix and a suffix applying poison damage, then the rates and lengths of both are simply added.


Small Charm Displayed damage Bit rate Frames
Min Max
Toxic Small Charm 100 Poison Damage Over 05 Seconds 205 205 125
Small Charm of Anthrax 50 Poison Damage Over 06 Seconds 86 86 150
Toxic Small Charm of Anthrax 313 Poison Damage Over 11 Seconds 291 291 275


Displayed damage is rounded to the nearest point, although it should always be rounded down. When multiple items applying poison damage are equipped, then the rates are added and the lengths are averaged.


Item Displayed damage Bit rate Frames
Min Max
Toxic Small Charm of Anthrax 313 Poison Damage Over 11 Seconds 291 291 275
Blackbog's Sharp Cinquedeas 488 Poison Damage Over 10 Seconds 500 500 250
Perfect Emerald 100 Poison Damage Over 07 Seconds 143 143 179
Total 934 934 704


Frames = [704/3]
= 234


Thus 853 poison damage is applied over 9.36 seconds (934*234/256 over 234/25). Bits and frames are the smallest units of measurement, and so calculations are rounded down to the nearest bit and frame. Gems, jewels and runes all count as separate items, even if they're socketed in a single item.


ERROR: Length is calculated differently when multiple items applying poison damage are used with skills that apply less than 100% weapon damage:


Poison length = [sum of lengths / (sources - 1) ]


Poison length = sum of lengths



Skills[edit]

Poison damage skills add bit rate with every additional skill level. The bit rate added also increases beyond certain skill levels. Some skills also add length with every additional skill level, although the increase is linear. Others are synergised by other skills, which apply a percentage increase to bit rate dependent on the number of skill points invested in the synergy skill(s). Skill level is set at the point the player uses the skill. Adding or removing skill bonuses won't have any effect on rate or length if there's a delay between using the skill and applying the poison.


Skill Bit rate Frames Synergy
/Level 1 2-8 9-16 17-22 23-28 >28 1 2+ Skill +%
Poison Javelin (Pn)

Min

Max

32

48

+16

+16

+32

+36

+48

+52

+64

+68

+96

+84

200

+50

Pe

12

Plague Javelin (Pe)

Min

Max

80

128

+48

+48

+96

+96

+160

+160

+320

+320

+480

+480

75

+10

Pn

10

Poison Dagger (PD)

Min

Max

36

80

+20

+20

+30

+30

+40

+40

+46

+46

+52

+52

50

+10

PE

PN

20

20

Poison Explosion (PE)

Min

Max

128

384

+32

+32

+64

+64

+96

+96

+128

+128

+160

+160

50

+10

PD

PN

15

15

Poison Nova (PN)

Min

Max

256

464

+64

+64

+96

+96

+144

+144

+224

+224

+256

+256

50

PD

PE

10

10

Poison Creeper (PC)

Min

Max

12

16

+7

+7

+12

+12

+15

+15

+17

+17

+19

+19

100

Rabies

Min

Max

48

112

+32

+32

+40

+40

+56

+56

+88

+88

+128

+128

100

+10

PC

18

Venom

Min

Max

1,536

2,048

+384

+384

+512

+512

+640

+640

+768

+768

+896

+896

10


ERROR: Level >36 Poison Javelin displays higher minimum than maximum damage because the minimum bit rate added per level for level >28 is higher than the maximum bit rate added. When this occurs, the minimum damage becomes the maximum and the maximum damage becomes the minimum.


Level 30 Poison Dagger applies the following:


Frames = 50+(10*(30-1))
= 50+290
= 340


Min bit rate = 36+(20*7)+(30*8)+(40*6)+(46*6)+(52*2)
= 36+140+240+240+276+104
= 1,036
Min damage = 1,036*340/256
= 1,375
Max bit rate = 80+(20*7)+(30*8)+(40*6)+(46*6)+(52*2)
= 80+140+240+240+276+104
= 1,080
Max damage = 1,080*340/256
= 1,434


Thus 1,375-1,434 Poison Damage Over 13.6 Seconds is displayed. Fully synergised level 30 Poison Dagger (20 points each in Poison Explosion and Nova) has +800% (20*(20+20)) applied to its rate:


Min bit rate = 1,036*(100+800)/100
= 1,036*9
= 9,324
Min damage = 9,324*340/256
= 12,383
Max bit rate = 1,080*(100+800)/100
= 1,080*9
= 9,720
Max damage = 9,720*340/256
= 12,909


Thus 12,383-12,909 Poison Damage Over 13.6 Seconds is displayed.

Skills and items[edit]

Most skills are treated as separate sources of poison damage whose rates (and accompanying lengths) compete with those of other skills and items. However, Poison Dagger and the javelins (but not the clouds) of Poison and Plague Javelins combine the skill's rate with any item rates. Length is calculated by summing skill and item lengths and dividing by the number of items.


Source Displayed damage Bit rate Frames
Min Max
Toxic Small Charm of Anthrax 313 Poison Damage Over 11.0 Seconds 291 291 275
Blackbog's Sharp Cinquedeas 488 Poison Damage Over 10.0 Seconds 500 500 250
Perfect Emerald 100 Poison Damage Over 07.0 Seconds 143 143 179
Level 30 Poison Dagger 12,383-12,909 Poison Damage Over 13.6 Seconds 9,324 9,720 340
Total 10,258 10,654 1,044


Frames = [1,044/3]
= 348


Min damage = 10,258*348/256
= 13,944
Max damage = 10,654*348/256
= 14,482


Thus 13,944-14,482 poison damage is applied over 13.92 (348/25) seconds.


If the only item used were Blackbog's Sharp Cinquedeas, 9,824-10,220 bit rate for 590 ((250+340)/1) frames would apply 22,641-23,553 poison damage over 23.6 (590/25) seconds. Although the rate is lower with only one item, the length can be significantly longer and results in far more damage from a single stab.

Venom[edit]

Venom's rate is applied to any weapon's attack made between its casting and expiration, and adds to any rate applied by items. However, its 10 frame length overrides those of any items.


Source Displayed damage Bit rate Frames
Min Max
Toxic Small Charm of Anthrax 313 Poison Damage Over 11.0 Seconds 291 291 275
Blackbog's Sharp Cinquedeas 488 Poison Damage Over 10.0 Seconds 500 500 250
Perfect Emerald 100 Poison Damage Over 07.0 Seconds 143 143 179
Level 15 Venom 305-325 Poison Damage Over 00.4 Seconds 7,808 8,320 10
Total 8,742 9,254 10


Min damage = 8,742*10/256
= 341
Max damage = 9,254*10/256
= 361


Thus just 341-361 poison damage is applied over 0.4 (10/25) seconds.


However, Venom's length does not override those of the skills Poison Dagger and Poison and Plague Javelins. Casting Venom can thus significantly increase the rate applied by these skills while not reducing length. Since Venom effectively creates a single source which sums the rates of Venom and items but which only applies for Venom's length, the length is the sum of the skill length and that of Venom.


Source Displayed damage Bit rate Frames
Min Max
Toxic Small Charm of Anthrax 313 Poison Damage Over 11.0 Seconds 291 291 275
Blackbog's Sharp Cinquedeas 488 Poison Damage Over 10.0 Seconds 500 500 250
Perfect Emerald 100 Poison Damage Over 07.0 Seconds 143 143 179
Level 30 Poison Dagger 12,383-12,909 Poison Damage Over 13.6 Seconds 9,324 9,720 340
Level 15 Venom 305-325 Poison Damage Over 00.4 Seconds 7,808 8,320 10
Total 18,066 18,974 350


Min damage = 18,066*350/256
= 24,699
Max damage = 18,974*350/256
= 25,941


Thus 24,699-25,941 poison damage is applied over 14 (350/25) seconds. Classes other than the Assassin can gain the ability to cast Venom by equipping certain items, which allow it to be cast by various methods.


Item Source Duration (seconds) Bit rate Frames
Min Max
Arachnid Mesh Spiderweb Sash Level 3 Venom (11 Charges) 128 2,304 2,816 10
Andariel's Visage Demonhead Level 3 Venom (20 Charges) 128 2,304 2,816 10
Treachery 'ShaelThulLem' Armor 25% Chance to Cast Level 15 Venom on Striking 176 7,808 8,320 10
Grief 'EthTirLoMalRal' Sword/Axe 35% Chance to Cast Level 15 Venom on Striking 176 7,808 8,320 10
Dragon 'SurLoSol' Armor/Shield 20% Chance to Cast Level 18 Venom When Struck 188 9,600 10,112 10
Rainbow Facet Jewel 100% Chance to Cast Level 23 Venom When You Level-up 208 12,928 13,440 10


+% Poison Skill Damage[edit]

+% Poison Skill Damage is gained by equipping certain items and applies a percentage increase to the rate which is multiplicative with any synergies. It's also applied to the rate from items when applied with mêlée weapons, but not when applied with ranged weapons.


The point at which +% PSD is applied varies for each skill, although it is not applied to Poison Creeper. For more details about the mechanics of each skill, see the individual skill descriptions.


Skill Point of application
Poison Javelin

Javelin: throwing

Clouds: creation

Plague Javelin

Javelin: throwing

Clouds: creation

Poison Dagger Striking
Poison Explosion Casting
Poison Nova Casting
Rabies

Bite: striking

Contagion: creation

Venom Casting


Equipping Trang-Oul's Claws Heavy Bracers applies +25% PSD to level 15 Venom when cast:


Min bit rate = 7,808*(100+25)/100
= 7,808*1.25
= 9,760
Max bit rate = 8,320*(100+25)/100
= 8,320*1.25
= 10,400


Source Displayed damage Bit rate Frames
Min Max
Toxic Small Charm of Anthrax 313 Poison Damage Over 11.0 Seconds 291 291 275
Blackbog's Sharp Cinquedeas 488 Poison Damage Over 10.0 Seconds 500 500 250
Perfect Emerald 100 Poison Damage Over 07.0 Seconds 143 143 179
Level 15 Venom 305-325 Poison Damage Over 00.4 Seconds 9,760 10,400 10
Total 10,694 11,334 10
Level 30 Poison Dagger 12,383-12,909 Poison Damage Over 13.6 Seconds 9,324 9,720 340


+25% PSD is now applied:


Min bit rate = (10,694*(100+25)/100)+(9,324*(100+25)/100)
= (10,694*1.25)+(9,324*1.25)
= 13,367+11,655
= 25,022
Min damage = 25,022*(340+10)/256
= 34,209
Max bit rate = (11,334*(100+25)/100)+(9,720*(100+25)/100)
= (11,334*1.25)+(9,720*1.25)
= 14,167+12,150
= 26,317
Max damage = 26,317*(340+10)/256
= 35,980


Thus 34,209-35,980 poison damage is applied over 14 (350/25) seconds. +% PSD can only be found on the following items:


Item +% PSD
Rainbow Facet Jewel 3-5
Trang-Oul's Claws Heavy Bracers 25
Bramble 'RalOhmSurEth' armor 25-50


Lower Resist[edit]

A target's Poison Resist (PR) % reduces poison's rate, and PR 100+% makes a monster Immune to Poison (players and hirelings are capped at PR 95%). Lower Resist (LR) applies PR -%, although it's applied at 1/5 effectiveness against Immune to Poison monsters: level 10 LR's PR -55% is reduced to PR -11% (55/5). PR -100% is the absolute minimum to which a target can be reduced, doubling the rate.


25,022-26,317 bit rate for 350 frames results in 34,209-35,980 poison damage being applied over 14 seconds to a target with PR 0%. PR 50% would halve the rate, but casting level 10 LR (PR -55%) results in the following:


Min bit rate = 25,022*(100-(50-55))/100
= 25,022*1.05
= 26,273
Min damage = 26,273*350/256
= 35,920
Max bit rate = 26,317*(100-(50-55))/100
= 26,317*1.05
= 27,632
Max damage = 27,632*350/256
= 37,778


Thus 35,920-37,778 poison damage is applied over 14 (350/25) seconds. LR is applied when the target is poisoned, so it can be overwritten by another curse immediately afterwards. Even if LR is required to break immunity, once poison has been applied its rate and length remain unchanged, even if the monster becomes Immune to Poison again.

-% Enemy Poison Resistance[edit]

-% Enemy Poison Resistance (EPR) reduces a target's poison resistance like LR, but only if PR < 100% i.e. not Immune to Poison. However, unlike LR -% EPR also applies to length, effectively applying Poison Length Reduced (PLR) by -%.


Monsters have no PLR % so -% EPR increases poison length by the displayed amount, although -100% is the absolute minimum to which a target can be reduced, doubling the length. The only exceptions are the Ancients, whose equipment can spawn with PLR % suffixes. Talic and Korlic can spawn with PLR >99%, which cannot be reduced by -% EPR. However, this doesn't result in effective immunity, since a frame of poison damage is still applied.


Players and hirelings are capped at PLR 75%, although the same difficulty penalties that apply to Resist % apply (-40% in Nightmare and -100% in Hell).


-% EPR is applied when the target is poisoned, like LR. Once poison has been applied its rate and length remain unchanged, so -% EPR can be removed afterwards without affecting damage or length.


25,022-26,317 bit rate for 350 frames results in 34,209-35,980 poison damage being applied over 14 seconds to a target with PR 0%. PR 110% makes a monster Immune to Poison, but casting level 10 LR (PR -11%) breaks that immunity and, combined with Trang-Oul's Wing Cantor Trophy's -25% EPR partial set bonus when equipping two other items from Trang-Oul's Avatar, results in the following:


Frames = 350*(100-(0-25))/100
= 350*1.25
= 437


Min bit rate = 25,022*(100-(110-11-25))/100
= 25,022*0.26
= 6,505
Min damage = 6,505*437/256
= 11,104
Max bit rate = 26,317*(100-(110-11-25))/100
= 26,317*0.26
= 6,842
Max damage = 6,842*437/256
= 11,679


Thus 11,104-11,679 poison damage is applied over 17.48 (437/25) seconds. -% EPR can only be found on the following items:


Item -% EPR
Rainbow Facet Jewel 3-5
Trang-Oul's Wing Cantor Trophy (3 Items) 25
Grief 'EthTirLoMalRal' Sword/Axe 20-25
Death's Web Unearthed Wand 40-50


Calculation[edit]

This is a summary of all the individual steps in the calculation of poison damage outlined in the preceding sections. To express total damage in points applied over a length in seconds:


Points = [Rate*Frames/256]


Second = Frames/25


Ideally damage is calculated measuring rate in bits and length in frames. It's also possible to calculate damage measuring rate in poison damage/second and length in seconds, which can be derived directly from displayed damage. However, the result will only be an approximation and rounding down should only be done at the end of the calculation for the maximum accuracy possible.


Rate = [([[B*S]*M]+[(I+[V*M])*M])*R]


[] Round down
B Skill rate
I Sum of item rates
V Venom rate
M Mastery (+X% Poison Skill Damage) M = (100+X)/100
S Synergy (+X% poison damage) S = (100+X)/100
R Resistance R = (100-X)/100
If P >= 100 and P-(L/5) < 100
then X = P-(L/5)
else R = 0
If P < 100
then X = Max(P-(L+E),-100)
P Poison Resist X% P = X
L Lower Resist (Poison Resist -X%) L = X
E -X% Enemy Poison Resistance E = X


  • If a single item has both a prefix and a suffix applying poison damage, then the rates and lengths of both are simply added.
  • Gems, jewels and runes all count as separate items, even if they're socketed in a single item.
  • Item and Venom rate are only added to the skill rates of Poison Dagger and the javelins (but not the clouds) of Poison and Plague Javelins.
  • +% PSD isn't applied to item and Venom rate when applied by ranged attacks.


Frames = [F*R]


[] Round down
F Frames
Items
Items + Skill
Items + Venom
Skill + Venom
F = sum of item lengths/number of items
F = (skill length + sum of item lengths)/number of items
F = Venom length
F = skill length + Venom length
R Resistance R = (100-X)/100
If P < 100
then X = Max(P-E,-100)
else F = 1
P Poison Length Reduced by X% P = X
E -X% Enemy Poison Resistance E = X


ERROR: Length is calculated differently when multiple items applying poison damage are used with skills that apply less than 100% weapon damage:


Poison length = [sum of lengths / (sources - 1) ]


Poison length = sum of lengths

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