Disruption
Disruption is a special brand found only on the artefact great mace, Undeadhunter. Each time it strikes an undead target and deals damage dam
, there is a 2/3 probability for the target to be blasted with disruptive energy up to an additional 300% damage. On average, you deal an extra +167% damage to undead targets.
Damage Calculation
Unlike most brands, bonus damage is not linearly distrubuted. Additional damage is calculated according to the formula:
random2avg((1 + (dam * 3)), 3))[1]
random2avg
[2] takes the average of 3 rolls, here, which means the resulting extra damage approximates a normal distribution with a mean of 3/2 × dam
[3] and a standard deviation of approximately 1/2 × dam
[4].
Following the normal distrubution[5], additional damage dealt is between +100% and +200% damage, 68% of the time, and between +50% and +250% damage 95% of the time. (Assuming it deals extra damage at all)
History
- In 0.9, Disruption was made an exclusive brand to the Undeadhunter.
- Prior to 0.4, Disruption was a normal brand found on random melee weapons. Holy wrath was enhanced in its stead.
References
- ↑ art-func.h:637 (0.28.0)
- ↑ random.cc:327 (0.28.0)
- ↑
random2avg
returns an int, which shifts the mean slightly downwards from this value due to the effect of integer truncation for division in C++. - ↑ More exactly:
1/2 × sqrt[(dam × dam) + (dam / 3)]
. The difference between the two calculations is negligible, as the increase is between 0.08 and 0.083(3) for anydam
above 1. - ↑ https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule
Brands | |
---|---|
Melee weapons | Antimagic • Chaos • Distortion • Draining • Electrocution • Flaming • Freezing • Heavy • Holy wrath • Pain • Protection • Reaching • Spectral • Speed • Vampiric • Venom Disruption • Dragon slaying • Reaping • Silver |
Launchers | Antimagic • Draining • Electrocution • Flaming • Freezing • Heavy • Penetration • Speed |
Throwing weapons | Atropa • Curare • Datura • Dispersal • Poisoned • Silver |