Difference between revisions of "Encumbrance rating"

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''Not to be confused with [[encumbered|encumbrance]] from inventory [[aum|weight]], an obsolete mechanic.''
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''For shield encumbrance, see [[Shields]]. Not to be confused with [[encumbered|encumbrance]] from inventory [[aum|weight]], an obsolete mechanic.''
  
An '''encumbrance rating''' is a penalty applied by almost all body armour and [[barding]]s. This is a measure of how much your defensive equipment gets in the way of spellcasting, [[ranged weapon]]s, and attempts to [[ev]]ade enemy attacks. Multiple sources of encumbrance rating stack with each other. [[Shields]] also have a penalty, but it is handled differently and is never actually named in game (see [[Shields#Shield Penalties]]).
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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]].  
  
In general, the heavier your equipment, the greater the encumbrance rating will be. You can reduce the impact of your encumbrance rating by increasing your [[strength]] or [[Armour (skill)|Armour]], though the [[stealth]] penalty is always constant. For the purposes of evasion, there is a breakpoint at (ER-2) strength, where reaching this point provides the greatest gain per specific strength point, with strength having a slowly diminishing return from there.
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Encumbrance rating is exclusive to body armour. Certain other armours may hinder you, but use different mechanics.
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* [[Bardings]] have a -2 [[EV]] penalty. This does not penalize casting, stealth, etc., and cannot be reduced by strength / armour skill.
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* [[Shields]] also have 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.
  
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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==Useful Info==
 
 
==Penalties==
 
 
===Adjusted body armour penalty===
 
===Adjusted body armour penalty===
 
[[Image:Baseencpenalty.gif]]
 
[[Image:Baseencpenalty.gif]]
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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.
 
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.
  
This penalty is not applied directly, rather it is used in evasion, to hit, and cast chance. For to hit the scale used is 20, while for evasion and cast the scale used is 100. This syntax is the same for the other formula.
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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.
  
 
===Adjusted evasion penalty===
 
===Adjusted evasion penalty===
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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.
 
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.
  
==Encumbrance Penalty Analysis==
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==Analysis==
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[[File:AdjustedDodgePenaltySecondDerivative.gif]]
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By calculating the second derivative of the dodge penalty plus the evasion penalty (formula shown above), we can measure the gains from additional strength for any given character. Using this information we can determine what value you would want to raise your strength to for the greatest benefit. The graph on the right shows a spike in gains from strength at two lower than the encumbrance rating of the armour, however a few points after that spike tend to be fairly beneficial as well.  
 
By calculating the second derivative of the dodge penalty plus the evasion penalty (formula shown above), we can measure the gains from additional strength for any given character. Using this information we can determine what value you would want to raise your strength to for the greatest benefit. The graph on the right shows a spike in gains from strength at two lower than the encumbrance rating of the armour, however a few points after that spike tend to be fairly beneficial as well.  
  
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[[File:Diff2StrengthVsEncumbrance.png|thumb|The gains in dodge from strength for common body armour.]]
 
[[File:Diff2StrengthVsEncumbrance.png|thumb|The gains in dodge from strength for common body armour.]]
  
[[File:AdjustedDodgePenaltySecondDerivative.gif]]
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==Spreadsheet==
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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]
  
 
==History==
 
==History==

Revision as of 17:09, 28 June 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 hinder 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 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.

Useful Info

Adjusted body armour penalty

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 of the subject, and s is the strength of the subject.

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.

Adjusted evasion penalty

AdjustedEvasionPenalty.gif

This amount is subtracted from your evasion along with other factors such as your size and dodge skill before being stepped down.

Dodging penalty

AdjustedDodgePenalty.gif

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.

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.

The size factor is normalized around medium size, and can be derived from the following table:

Size Size factor
Little: Spriggan 2
Small: Kobold 1
Medium: Most Races 0
Large: Troll, Ogre, Palentonga, Naga -1

Stealth penalty

StealthPenalty.gif

This penalty is subtracted from your stealth score.

Spellcasting penalty

CastPenalty.gif

If this added to your shield penalty is positive, then this is added to your failure chance. See spell success for more information.

Ranged Weapon Penalty

AdjustedRangedPenalty.png

This penalty, in aut, 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

AdjustedDodgePenaltySecondDerivative.gif

By calculating the second derivative of the dodge penalty plus the evasion penalty (formula shown above), we can measure the gains from additional strength for any given character. Using this information we can determine what value you would want to raise your strength to for the greatest benefit. The graph on the right shows a spike in gains from strength at two lower than the encumbrance rating of the armour, however a few points after that spike tend to be fairly beneficial as well.

This relationship leads to the rule of thumb for strength that you should at least raise it to the same number as your encumbrance, though more strength is still likely to have a noticeable impact. This rule of thumb does not apply to Spellcasting and Ranged Weapons usage, only for EV.

The gains in dodge from strength for common body armour.

Spreadsheet

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

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.