Difference between revisions of "Deathbane"

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(an average of +150% per hit and 2/3 chance to proc is 100%)
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'''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.
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{{flavour|It deals significantly more damage against the undead.}}
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'''Deathbane''' is a brand exclusive to [[Undeadhunter]] which does the following:
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==Damage Calculation==
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*Has a 2/3 chance to deal an average of about +150% damage (0 - 300%) to [[undead]] targets, or an average of +100% damage per swing.
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Unlike most brands, bonus damage is not linearly distrubuted. Additional damage is calculated according to the formula:
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:Unlike other brands, the damage isn't distributed linearly. Instead, the extra damage equals <code>3d(3 * dam + 1)/3 - 1</code>, so it's weighted towards the average.<ref>{{source ref|0.32.1|art-func.h|721}}<br>It roughly follows the [https://en.wikipedia.org/wiki/Normal_distribution normal distribution] with slightly more variance. Due to integer truncation in C++, the mean is slightly lower than the expected average of 150%.</ref>
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random2avg((1 + (dam * 3)), 3))<ref>{{source ref|0.28.0|art-func.h|637}}</ref>
 
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<code>random2avg</code><ref>{{source ref|0.28.0|random.cc|327}}</ref> takes the average of 3 rolls, here, which means the resulting extra damage ''approximates'' a normal distribution with a mean of <code>3/2 × dam</code><ref><code>random2avg</code> returns an int, which shifts the mean slightly downwards from this value due to the effect of integer truncation for division in C++.</ref> and a standard deviation of approximately <code>1/2 × dam</code><ref>More exactly: <code>1/2 × sqrt[(dam × dam) + (dam / 3)]</code>. The difference between the two calculations is negligible, as the increase is between 0.08 and 0.083(3) for any <code>dam</code> above 1.</ref>.
 
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Following the normal distrubution<ref>https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule</ref>, 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)
 
  
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Unlike the similar [[holy wrath]] brand, this brand can be used by the [[undead]].
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==History==
 
==History==
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*Prior to [[0.30]], this brand was called Disruption.
 
*In [[0.9]], Disruption was made an exclusive brand to the Undeadhunter.
 
*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.
 
*Prior to [[0.4]], Disruption was a normal brand found on random melee weapons. [[Holy wrath]] was enhanced in its stead.

Latest revision as of 03:32, 8 March 2025

Version 0.32: This article is up to date for the latest stable release of Dungeon Crawl Stone Soup.
It deals significantly more damage against the undead.

Deathbane is a brand exclusive to Undeadhunter which does the following:

  • Has a 2/3 chance to deal an average of about +150% damage (0 - 300%) to undead targets, or an average of +100% damage per swing.
Unlike other brands, the damage isn't distributed linearly. Instead, the extra damage equals 3d(3 * dam + 1)/3 - 1, so it's weighted towards the average.[1]

Unlike the similar holy wrath brand, this brand can be used by the undead.

History

  • Prior to 0.30, this brand was called Disruption.
  • 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

  1. Jump up ↑ art-func.h:721 (0.32.1)
    It roughly follows the normal distribution with slightly more variance. Due to integer truncation in C++, the mean is slightly lower than the expected average of 150%.
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
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