Difference between revisions of "Encumbrance rating"

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An '''encumbrance rating''' is a penalty applied to [[body armour]]. The heavier your armour, the higher the encumbrance rating. The higher the encumbrance, the higher the penalty is to [[ev]]asion, [[spell failure|spellcasting]], [[stealth]], and [[ranged weapon]]s. Encumbrance can be mitigated, but not removed, by [[strength]] and [[Armour skill]].  
 
An '''encumbrance rating''' is a penalty applied to [[body armour]]. The heavier your armour, the higher the encumbrance rating. The higher the encumbrance, the higher the penalty is to [[ev]]asion, [[spell failure|spellcasting]], [[stealth]], and [[ranged weapon]]s. Encumbrance can be mitigated, but not removed, by [[strength]] and [[Armour skill]].  
  
Encumbrance rating is exclusive to body armour. Certain other armours may hinder you, but use different mechanics.
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Encumbrance rating is exclusive to body armour. Certain other armours may "encumber" you, but use different mechanics.
 
* [[Barding]]s have a -2 [[EV]] penalty. This does not penalize casting, stealth, etc., and cannot be reduced by strength / armour skill.
 
* [[Barding]]s have a -2 [[EV]] penalty. This does not penalize casting, stealth, etc., and cannot be reduced by strength / armour skill.
* [[Shields]] also have encumbrance. But this encumbrance is handled entirely differently. See [[Shields#Shield Penalties|Shields]] for more details.
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* [[Shields]] also have an encumbrance. But this encumbrance is handled entirely differently. See [[Shields#Shield Penalties|Shields]] for more details.
  
 
See the [[Armour#Tables of Armours|Table of Armours]] for numerical details on all items with encumbrance ratings.
 
See the [[Armour#Tables of Armours|Table of Armours]] for numerical details on all items with encumbrance ratings.
  
==Useful Info==
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==Base Penalty==
===Adjusted body armour penalty===
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Body armour has a "base" penalty of:
[[Image:Baseencpenalty.gif]]
 
  
Where ''e'' is the encumbrance rating of the armour, ''S'' is an arbitrary scale the base is used at for the particular penalty, ''a'' is the [[Armour (skill)|armour skill]] of the subject, and ''s'' is the [[strength]] of the subject.
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[[File:Base AEVP.png|720px]]
  
This penalty is not applied directly, rather it is used in evasion, to hit, and cast chance. For the evasion and cast penalties the scale used is 100. This syntax is the same for the other formula.
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This equation can be simplified into the following form:
  
===Adjusted evasion penalty===
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[[File:Simplified_AEVP_base.png|600px]]
[[File:AdjustedEvasionPenalty.gif]]
 
  
This amount is subtracted from your [[evasion]] along with other factors such as your [[size]] and [[dodge]] skill before being stepped down.
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Where "S" = scale (an arbitrary multiplier), "armour" = [[Armour skill]] and "str" = [[strength]].
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While this equation is not used directly, it is used to determine most of the other penalties.
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==Evasion==
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Encumbrance rating has ''two'' effects on [[EV]]:
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# Encumbrance will directly lower your evasion. Reduced by armour skill and strength.
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# Encumbrance will lower the effect of [[Dodging]] skill. This penalty is only reduced by strenght.
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===EV Penalty===
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Encumbrance will lower your EV by:
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 +
[[File:Simplified_AEVP_EV.png|831px]]
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This number is subtracted directly from your EV score.
  
 
===Dodging penalty===
 
===Dodging penalty===
[[File:AdjustedDodgePenalty.gif]]
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Encumbrance will also reduce the EV gained by Dodging skill and dexterity.
  
Where ''B'' is the base dodge bonus (formula shown), ''S'' is the relationship between strength and encumbrance, ''d'' is dodge skill, ''D'' is dexterity stepped down if it is above 24, and ''F'' is normalized size factor.
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For '''Dodging Bonus''' = <code>(8 + 0.8 × Dodging × Dex) / (20 - size_factor)</code>. See [[Evasion]] for more detail.
  
This penalty along with the evasion penalty impacts your ability to evade attacks. Due to the change of function when encumbrance nears strength, this penalty makes it a good idea to have a strength equal to or larger than two minus the encumbrance of the armour.
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This Dodging Bonus is then multiplied by a modifier.
  
The size factor is normalized around medium size, and can be derived from the following table:
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* '''If (encumbrance - 3) ≥ strength:'''
{|class="prettytable"
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[[File:Dodging pen1.png|100px]]
! Size !! Size factor
 
|-
 
| Little: [[Spriggan]] || 2
 
|-
 
| Small: [[Kobold]]|| 1
 
|-
 
| Medium: Most Races || 0
 
|-
 
| Large: [[Troll]], [[Ogre]], [[Palentonga]], [[Naga]] || -1
 
|}
 
  
===Stealth penalty===
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* '''If (encumbrance - 3) < strength:'''
[[File:StealthPenalty.gif]]
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[[File:Dodging pen2.png|100px]]
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==Spellcasting penalty==
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Encumbrance increases "spellFailure", which is not to be confused with your chance of actually failing a spell.
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[[File:Simplified AEVP spell.png|600px]]
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As a reference:
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* 1 [[intelligence]] = 2 spellFailure
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* 1 [[Spellcasting]] skill = 3 spellFailure
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* 1 (Spell School) skill = 12 spellFailure, divided by the number of schools of a spell
  
This penalty is subtracted from your [[stealth]] score.
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"SpellFailure" is then transformed multiple times to determine your actual chance of failure. See [[spell success]] for details.
  
===Spellcasting penalty===
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==Stealth penalty==
[[File:CastPenalty.gif]]
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[[File:StealthPenalty.gif]]
  
If this added to your shield penalty is positive, then this is added to your failure chance. See [[spell success]] for more information.
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This penalty is subtracted directly from your [[stealth]] score. Not adjusted by strength or armour skill.
  
===Ranged Weapon Penalty===
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==Ranged Weapon Penalty==
[[File:AdjustedRangedPenalty.png|500px]]
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[[File:AdjustedRangedPenalty.png|600px]]
  
This penalty, in [[aut]], is added onto [[attack speed|weapon delay]] to [[Ranged Weapons]] (but not [[Throwing]]). Divide by 10 to convert to [[decaAut]]. A simplified version of this formula can be found in the [[Ranged Weapons#Armour Penalty|Ranged Weapons]] page.
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This penalty, in [[decaAut]], is added onto [[attack speed|weapon delay]] to [[Ranged Weapons]] (but not [[Throwing]]). Divide by 10 to convert to [[decaAut]]. A simplified version of this formula can be found in the [[Ranged Weapons#Armour Penalty|Ranged Weapons]] page.
  
 
==Analysis==
 
==Analysis==
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==Spreadsheet==
 
==Spreadsheet==
See this spreadsheet (and/or make a copy) for an armour penalty calculator: [https://docs.google.com/spreadsheets/d/1SgY-b12lecR1EHb7uopTqFP0E3FDr5_MsTHrwA0Z5MY/edit#gid=1843292358 Calculator]
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See this spreadsheet (and/or make a copy) for an armour penalty calculator: [https://docs.google.com/spreadsheets/d/1SgY-b12lecR1EHb7uopTqFP0E3FDr5_MsTHrwA0Z5MY/edit#gid=1843292358 Calculator] (outdated as of 0.27)
  
 
==History==
 
==History==

Revision as of 03:55, 1 July 2023

Version 0.30: This article may not be up to date for the latest stable release of Crawl.

For shield encumbrance, see Shields. Not to be confused with encumbrance from inventory weight, an obsolete mechanic.

An encumbrance rating is a penalty applied to body armour. The heavier your armour, the higher the encumbrance rating. The higher the encumbrance, the higher the penalty is to evasion, spellcasting, stealth, and ranged weapons. Encumbrance can be mitigated, but not removed, by strength and Armour skill.

Encumbrance rating is exclusive to body armour. Certain other armours may "encumber" you, but use different mechanics.

  • Bardings have a -2 EV penalty. This does not penalize casting, stealth, etc., and cannot be reduced by strength / armour skill.
  • Shields also have an encumbrance. But this encumbrance is handled entirely differently. See Shields for more details.

See the Table of Armours for numerical details on all items with encumbrance ratings.

Base Penalty

Body armour has a "base" penalty of:

Base AEVP.png

This equation can be simplified into the following form:

Simplified AEVP base.png

Where "S" = scale (an arbitrary multiplier), "armour" = Armour skill and "str" = strength.

While this equation is not used directly, it is used to determine most of the other penalties.

Evasion

Encumbrance rating has two effects on EV:

  1. Encumbrance will directly lower your evasion. Reduced by armour skill and strength.
  2. Encumbrance will lower the effect of Dodging skill. This penalty is only reduced by strenght.

EV Penalty

Encumbrance will lower your EV by:

Simplified AEVP EV.png

This number is subtracted directly from your EV score.

Dodging penalty

Encumbrance will also reduce the EV gained by Dodging skill and dexterity.

For Dodging Bonus = (8 + 0.8 × Dodging × Dex) / (20 - size_factor). See Evasion for more detail.

This Dodging Bonus is then multiplied by a modifier.

  • If (encumbrance - 3) ≥ strength:

Dodging pen1.png

  • If (encumbrance - 3) < strength:

Dodging pen2.png

Spellcasting penalty

Encumbrance increases "spellFailure", which is not to be confused with your chance of actually failing a spell.

Simplified AEVP spell.png

As a reference:

  • 1 intelligence = 2 spellFailure
  • 1 Spellcasting skill = 3 spellFailure
  • 1 (Spell School) skill = 12 spellFailure, divided by the number of schools of a spell

"SpellFailure" is then transformed multiple times to determine your actual chance of failure. See spell success for details.

Stealth penalty

StealthPenalty.gif

This penalty is subtracted directly from your stealth score. Not adjusted by strength or armour skill.

Ranged Weapon Penalty

AdjustedRangedPenalty.png

This penalty, in decaAut, is added onto weapon delay to Ranged Weapons (but not Throwing). Divide by 10 to convert to decaAut. A simplified version of this formula can be found in the Ranged Weapons page.

Analysis

On Evasion

Strength generally has a diminishing return on encumbrance. There exists a clear breakpoint, e - 3 > str, where the dodging penalty shifts from 1 equation to another. Therefore, the strength point at (str = e - 2) gives more EV than the points proceeding it. The value decays from there, though the first few strength points after (str = e - 2) tend to be valuable too. Note that it only applies to evasion, not casting or ranged weapons.

This is the basis behind a rule of thumb, where strength should at least be the same number as encumbrance. However, this is not a hard rule. More strength is still likely to have a noticeable impact.

It can be graphed using the second derivative of (armour penalty) + (dodging penalty):

The gains in dodge from strength for common body armour.

AdjustedDodgePenaltySecondDerivative.gif

Spreadsheet

See this spreadsheet (and/or make a copy) for an armour penalty calculator: Calculator (outdated as of 0.27)

History

  • Ranged weapon penalities were added in 0.29.
  • Armour to-hit penalities were removed in 0.28. Specifically, they were:

ToHitPenalty.gif

  • Armour no longer slows down unarmed melee attacks, and some of the mathematics have changed between 0.13 and 0.17.
  • Encumbrance ratings were introduced in 0.13, replacing the EV penalty system.