Deathbane: Difference between revisions

Revision as of 21:16, 21 August 2022

Version 0.28: This article may not be up to date for the latest stable release of Crawl.

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 +100% damage to undead targets. Unlike the similar holy wrath brand, this brand can be wielded by the undead.

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] (or 150%), 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 any dam above 1.
↑ https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule

Brands
Melee weapons	General	Antimagic • Chaos • Distortion • Draining • Electrocution • Flaming • Freezing • Heavy • Holy wrath • Pain • Protection • Reaching • Spectral • Speed • Vampiric • Venom
	Weapon type	Devious • Valour • Concussion • Sundering • Entangling • Rebuke
	Artefact	Curare • Deathbane • Dragon slaying • Reaping • Silver
Launchers		Antimagic • Chaos • Draining • Electrocution • Flaming • Freezing • Heavy • Holy wrath • Penetration • Speed
Throwing weapons		Atropa • Curare • Datura • Disjunction • Poisoned • Silver

[1] rt-func.h:637 (0.28.0)

[2] random.cc:327 (0.28.0)

[3] random2avg returns an int, which shifts the mean slightly downwards from this value due to the effect of integer truncation for division in C++.

[4] 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 any dam above 1.

[5] ttps://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule

[1]

[2]

[3]

[4]

[5]

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 {{version028}}
-'''Disruption''' is a special [[brand]] found only on the [[artefact]] [[great mace]], '''[[Undeadhunter]]'''. Each time it strikes an [[undead]] target and deals damage <code>dam</code>, 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 +100% damage to undead targets. Unlike the similar [[holy wrath]] brand, this weapon can be wielded by the [[undead]].
+'''Disruption''' is a special [[brand]] found only on the [[artefact]] [[great mace]], '''[[Undeadhunter]]'''. Each time it strikes an [[undead]] target and deals damage <code>dam</code>, 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 +100% damage to undead targets. Unlike the similar [[holy wrath]] brand, this brand can be wielded by the [[undead]].
 ==Damage Calculation==