Editing Rest

__NOTOC__

'''Rest''' is the game mechanic that controls [[Characters]]' [[needs]] for sleep. A character with a higher rest value has slept recently, and is less tired than another character with a low rest level.

==Levels of Rest==
Characters' rest level is grouped into four thresholds: Rested, Tired, Very Tired, and Exhausted. Each threshold exhibits different effects on a character, especially their [[Thoughts]]. When a character's rest level is zero they may collapse from exhaustion; they will immediately begin sleeping on the ground wherever they are.

The rest levels are as follows:
{| class="wikitable"
|-
! Label
! Rest
|-
| Rested
| >= 28%
|-
| Tired
| >=14% and <28%
|-
| Very Tired
| >=1% and <14%
|-
| Exhausted
| <=1%
|}

Rest caps at 0% and 100%.

==Rest Changes==
====Negative====
When awake, rest goes down every 150 ticks (1/400 of a game day) depending on the character's current rest.

{| class="wikitable"
|-
! Rest threshold
! Rest change per 150 ticks
! Rest change per game day
! Time between previous and next thresholds
! Time since 100% rest
|-
| Rested (100 => 28)
| -0.2375%
| -95%
| ~0.758 days / ~18.189 hours
| ~0.758 days / ~18.189 hours
|-
| Tired (28 => 14)
| -0.16625%
| -66.5%
| ~0.211 days / ~5.053 hours
| ~0.968 days / ~23.242 hours
|-
| Very Tired (14 => 1)
| -0.07125%
| -28.5%
| ~0.456 days / ~10.947 hours
| ~1.425 days / ~34.189 hours
|-
| Exhausted (1 => 0)
| -0.1425%
| -57%
| ~0.018 days / ~0.421 hours
| ~1.442 days / ~34.611 hours
|}

====Positive====
When a character rests in a bed, their Rest value increases over time.  At 100% Rest Effectiveness and 100% Rest Rate Multiplier, a character requires 10.5 hours (26,250 ticks) to full rest from 0% to 100%.

  Every 150 ticks (2.5 seconds at 1x speed), rest increases by 100% * (Ticks in interval (150) / Ticks Per Game Day (60000)) * (Hours per day (24) / Sleep Hours for Full (10.5)) * Rest Effectiveness * Rest Rate Multiplier
  = 100% * (150 * 24) / (60000 * 10.5) * Rest Effectiveness * Rest Rate Multiplier
  = (100%/175) * Rest Effectiveness * Rest Rate Multiplier
  = ~0.57143% * Rest Effectiveness * Rest Rate Multiplier

175 of these 150-tick intervals is the 26,250 ticks (10.5 in-game hours) required to fully rest from 0%.

====Multipliers====
[[Rest Rate Multiplier]] is a character (pawn) stat that defaults at 1.0 and is based off blood pumping, metabolism, and breathing capacities (and thus is affected by relevant injuries, bionics, etc.)

*Blood Pumping has a .3 weight
*Metabolism has a .3 weight
*Breathing has a .3 weight

[[Rest Effectiveness]] depends on the object the character is sleeping on:

{|class="wikitable"
|-
! Object
! Rest Effectiveness at Normal quality
! Rest increase per 150 ticks
! Rest increase per full 24-hour game day
|-
| Sleeping Spot or Ground
| 0.8
| ~0.45714%
| ~182.857%
|-
| Bedroll
| 0.95
| ~0.54286%
| ~217.143%
|-
| Bed
| 1.0
| ~0.57143%
| ~228.571%
|-
| Royal Bed
| 1.05
| 0.6%
| 240%
|}

and the [[quality]] of that object:

{|class="wikitable"
|-
! Quality
! Rest Effectiveness Multiplier
|-
| Awful
| 0.86
|-
| Poor
| 0.92
|-
| Normal
| 1.0
|-
| Good
| 1.08
|-
| Excellent
| 1.14
|-
| Masterwork
| 1.25
|-
| Legendary
| 1.6
|}

Therefore, when a character with 100% Rest Rate Multiplier reaches the Tired threshold (28%), it takes them this long to return to full (100%) rest:
{|class="wikitable"
|-
! Object
! Ticks to Full Rest
! Hours to Full Rest
! % of Day to Full Rest
|-
| Sleeping Spot / Ground (0.8)
| 23,625
| ‭9.45
| 39.375%
|-
| Normal Bed (1.0)
| 18,900
| 7.56
| 31.5%
|-
| Legendary Royal Bed (1.05 * 1.6 = 1.68)
| 11,250
| 4.5
| 18.75%
|}

====Analysis====
There exists a balance point for every type/quality of bed (and character, if that character has offsets to Rest Rate Multiplier or Rest Fall Rate), in which the hours spent sleeping and the hours spent awake during a 24-hour period precisely balance.  This is ultimately a piecewise equation, as the rest fall rate is piecewise based on the current rest level (see above).  We can ignore the Exhausted category, as a character must spend >24 hours awake (if starting at 100% rest) before reaching that threshold.

As long as the character is awake for less than 18.189 hours per day, however, this is a single-part equation, as the character will never reach Tired.  The percentage of the day that the character may stay awake, expressed as a decimal value, with a given RestMult (equal to Rest Effectiveness * Rest Rate Multiplier) is reached by solving the following equation for %DayAwake:

  0.95 * %DayAwake = (1 - %DayAwake) * (24/10.5) * RestMult

This gives the following equation:

  %DayAwake = (320 * RestMult) / (320 * RestMult + 133)

At 1.0 RestMult (normal unmodified character in a normal quality regular bed), this gives a value of 70.64% of the day awake, or ~16.95 hours.  Higher RestMults will grant more hours per day awake per this equation, up to 18.189 hours (75.789% of the day) awake.

Beyond that point, we need a piecewise equation.  The RestMult needed to be awake for 18.189 hours per day (0.75789 %DayAwake) is 1.301, which can be achieved with only a masterwork Royal Bed.  After this point, we can use a fixed value for the ~75% of the day awake before hitting Tired, which results in a 72% drop in rest, and then compute the remainder of the time awake off of the rest fall rate when Tired (66.5% per day rather than 95% per day).  This can be found by solving:

  0.72 + (%DayAwake - (0.72/0.95))*0.665 = (1 - %DayAwake) * (24/10.5) * RestMult

This gives:

  %DayAwake = (16000*RestMult - 1512) / (16000*RestMult + 4655)

At 1.3125 RestMult (an unmodified character in a masterwork Royal Bed), which is just past the threshold where this equation is needed, this gives a value of 75.962% 0f the day awake, or 18.231 hours.

At 1.68 Rest Effectiveness (the legendary quality Royal Bed in the table above) and a character with the Quick Sleeper trait (50% Rest Rate Multiplier), a Bionic Heart (+25% Blood Pumping = 7.5% Rest Rate Multiplier), and a Bionic or Royalty stomach (all of which are +25% part efficiency -> +12.5% Metabolism -> 3.75% Rest Rate Multiplier), for a net of 1.5*1.075*1.0375 = 1.673 Rest Rate Multiplier, the RestMult = 1.68 * 1.673 = 2.811.  At that level, the character can be awake for 87.573% of the day, or 21.017 hours.

In theory, there also exists a point at which the Exhausted piece of the equation becomes a factor, but this would require a pawn to be awake for at least 96.84% of the day (23.242 hours).  This would require a RestMult of at least 11.915 (ie. 1191.5%), which is impossible to hit in the base game (and even with most mod setups), and thus can be ignored.

If the character is using a [[Circadian assistant]], their rest fall rate is reduced by 20%, meaning it takes 25% longer to reach each threshold.  The equations in this case must be re-derived (derivation is left as an exercise for the reader), but the simple answer is:

* A character otherwise unmodified except for the Circadian Assistant, using a normal quality bed, can be awake for ~75.047% of the day (~18.011 hours), about 6.3% more of the day than without the implant.
* An otherwise-unmodified character in a masterwork Royal Bed can be awake for ~79.787% of a day (~19.149 hours), about 5% more of the day.
* The above bionically-modified Quick Sleeper pawn in a legendary quality Royal Bed, with the addition of a Circadian Assistant, could be awake for ~89.421% of a day (~21.461 hours), about 2.1% more of the day.
* None of these characters would ever reach "Tired", which takes ~94.737% of a day, or ~22.737 hours, with a Circadian Assistant installed.

== See Also==
Pawn [[Rest|Sleeping]] furniture:
* [[Sleeping spot]] - a free method to designate a place to sleep, but uncomfortable with terrible rest effectivness.
* [[Double sleeping spot]] - a sleeping spot equvialent bed that allows up to two pawns to sleep together. 
* [[Bedroll]] - a portable, lower tech version of the bed that provides less comfort and rest effectivness.
* [[Double bedroll]] - a bedroll equvialent bed that allows up to two pawns to sleep together. 
* [[Double bed]] - a bed equvialent bed that allows up to two pawns to sleep. 
* [[Royal bed]] - an expensive double bed that provides additional comfort and rest effectiveness.
* [[Hospital bed]] - a bed equivalent with a larger immunity gain speed factor 
[[Animal]] [[Rest|Sleeping]] furniture:
* [[Animal sleeping spot]] - An animal-only equivalent to the sleeping spot
* [[Animal sleeping box]] - An animal-only bed with stats equivalent to the bedroll 
* [[Animal bed]] - An animal-only bed equivalent to the bed.

[[Category:Status Level]]