Template:Rest Hours Per Day

Template documentation

This template calculates how much time, in both percentage and absolute terms, a pawn requires to fully rest per day. It's only truly mean to be used by the tables on Rest#Comparison_tables.

Syntax

{{Rest Hours Per Day|RE|RRM|RFF|color}}

RE = Rest Effectiveness. Defaults to 1.
RRM = Rest Rate Multiplier. Defaults to 1.
RFF = Rest Fall Factor. Defaults to 1.
color = Optional. If present, the alpha/transparency of the background colour of this cell will be calculated. The lower the required hours, the less transparent the color

• If not present, the cell will be colorless.
• Internally the color is determined by hsla(110, 100%, 40%, alpha). The alpha values range from 0 to 1.
• This will not work outside a table.

The formulas used by this template were obtained by solving the following equation (Where x = sleeping hours):

x * ~0.57143% * RE * RRM = (24-x) * 0.237% * RFR

x/(24-x) = (0.237% * RFR)/(~0.57143% * RE * RRM)

(24-x)/x = (~0.57143% * RE * RRM)/(0.237% * RFR)

(24/x)-1 = (~0.57143% * RE * RRM)/(0.237% * RFR)

24/x = ((~0.57143% * RE * RRM)/(0.237% * RFR))+1

x = 24/((~0.57143% * RE * RRM)/(0.237% * RFR))+1

The exact formulas used by this template are (always rounded to 2 decimals):

• alpha: (1-(1/(((0.0057143 * 1 * 1) /(0.00237 * 1 )) + 1))-0.65875)/(0.9207-0.65875)
• Percentage returned: (1/(((0.0057143 * 1 * 1) /(0.00237 * 1 )) + 1)) * 100
• Hours returned: Percentage returned*0.24

Examples:

{{Rest Hours Per Day|RE=2.15|RRM=2.24|RFF=1|color=1}}

7.93%
(1.9 hrs)

{{Rest Hours Per Day|RE=2.15|RRM=2.24|RFF=0.8|color=1}}

6.45%
(1.55 hrs)

As above, but inside a table.

With color	Without color
6.45% (1.55 hrs)	6.45% (1.55 hrs)