Difference between revisions of "Disruption"

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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 +150% per proc, or +100% damage per swing to undead targets. Unlike the similar [[holy wrath]] brand, this brand can be wielded by the [[undead]].
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{{flavour|It deals significantly more damage against the undead.}}
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'''Disruption''' is a brand exclusive to [[Undeadhunter]] which does the following:
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*Has a 2/3 chance to deal an average of about +150% damage (0 - 300%) to [[undead]] targets. That's an average of +100% damage per swing.
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:Unlike other brands, the damage isn't distributed linearly. Instead, damage is equal to <code>3d(3 * dam + 1)/3 - 1</code>.<ref>{{source ref|0.28.0|art-func.h|637}}<br>random2avg(X, Y) is equivalent to Yd(X) / Y - see {{source ref|0.28.0|random.cc|327}}</ref> This approximates a normal distribution with mean of roughly <code>3/2 × dam</code>,<ref>Random2avg returns an int. Due to integer truncation in C++, the average damage is slightly lower than 3/2.</ref> and standard deviation of roughly <code>1/2 × dam</code>.<ref>More exactly, standard dev = <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.
  
==Damage Calculation==
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Following the [ https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule normal distrubution], 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).</ref>
Unlike most brands, bonus damage is not linearly distrubuted. Additional damage is calculated according to the formula:
 
random2avg((1 + (dam * 3)), 3))<ref>{{source ref|0.28.0|art-func.h|637}}</ref>
 
<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> (or 150%), 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>.
 
 
 
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 wielded by the [[undead]].
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==History==
 
==History==
 
*In [[0.9]], Disruption was made an exclusive brand to the Undeadhunter.
 
*In [[0.9]], Disruption was made an exclusive brand to the Undeadhunter.

Revision as of 00:29, 3 September 2023

Version 0.30: This article may not be up to date for the latest stable release of Crawl.
It deals significantly more damage against the undead.

Disruption 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. That's an average of +100% damage per swing.
Unlike other brands, the damage isn't distributed linearly. Instead, damage is equal to 3d(3 * dam + 1)/3 - 1.[1] This approximates a normal distribution with mean of roughly 3/2 × dam,[2] and standard deviation of roughly 1/2 × dam.[3]

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

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

  1. art-func.h:637 (0.28.0)
    random2avg(X, Y) is equivalent to Yd(X) / Y - see random.cc:327 (0.28.0)
  2. Random2avg returns an int. Due to integer truncation in C++, the average damage is slightly lower than 3/2.
  3. More exactly, standard dev = 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. Following the [ https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule normal distrubution], 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).
Brands
Melee weapons AntimagicChaosDistortionDrainingElectrocutionFlamingFreezingHeavyHoly wrathPainProtectionReachingSpectralSpeedVampiricVenom
DisruptionDragon slayingReapingSilver
Launchers AntimagicDrainingElectrocutionFlamingFreezingHeavyPenetrationSpeed
Throwing weapons AtropaCurareDaturaDispersalPoisonedSilver