Difference between revisions of "Disruption"
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Unlike most brands, bonus damage is not linearly distrubuted. Additional damage is calculated according to the formula: | 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> | 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> 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>. | + | <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). | 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). | ||
Revision as of 23:14, 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.
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)
- ↑
random2avgreturns 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 anydamabove 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 |
