Template:SCurveTable

Template documentation (for the above template, sometimes hidden or invisible)

This template generates a table of calculated values for a given S-curve within a specified range.

For a more in-depth look at what S-curves are and how they are used in-game, see Logistic Scaling.

Examples

A table with no rounding

  {{SCurveTable
    |height=5
    |k=.5
    |midpoint=7
    |xleft=1
    |xright=11
    |Round=no
    |Condition=A Player of Chess
    |Effect={{IL|Well-Placed Pawn}} multiplier
  }}

A Player of Chess	1	2	3	4	5	6	7	8	9	10	11
multiplier	0.237	0.379	0.596	0.912	1.345	1.888	2.5	3.112	3.655	4.088	4.404

A non-compact table with rounding

  {{SCurveTable
    |height=-56
    |k=2
    |midpoint=7
    |y_offset=70
    |xleft=1
    |xright=10
    |Round=yes
    |Condition=Mired in Mail
    |Effect={{IL|Watchful}} CP
  }}

Mired in Mail	1	2	3	4	5	6	7	8	9	10
CP	70	70	70	70	69	63	42	21	15	14

A compact table

  {{SCurveTable
    |height=-56
    |k=2
    |midpoint=7
    |y_offset=70
    |xleft=1
    |xright=10
    |compact=yes
    |Round=yes
    |Condition=Mired in Mail
    |Effect={{IL|Watchful}} CP
  }}

Mired in Mail	≤1–4	5	6	7	8	9	≥10
CP	70	69	63	42	21	15	14

A compact table with lowcap

  {{SCurveTable
    |height=-56
    |k=2
    |midpoint=7
    |y_offset=70
    |xleft=1
    |xright=10
    |compact=yes
    |lowcap=yes
    |Round=yes
    |Condition=Mired in Mail
    |Effect={{IL|Watchful}} CP
  }}

Mired in Mail	1–4	5	6	7	8	9	≥10
CP	70	69	63	42	21	15	14

A table that shows ending condition values

  {{SCurveTable
    |height=-56
    |k=2
    |midpoint=6
    |y_offset=70
    |xleft=0
    |xright=9
    |compact=yes
    |lowcap=yes
    |Round=yes
    |show_ending_condition=yes
    |Condition=Mired in Mail
    |Effect={{IL|Watchful}} CP
  }}

Starting Mired in Mail	0–3	4	5	6	7	8	≥9
CP	70	69	63	42	21	15	14
Ending Mired in Mail	1–4	5	6	7	8	9	≥10

A table that shows ending condition values, with a condition increase other than 1

  {{SCurveTable
    |height=-56
    |k=2
    |midpoint=6
    |y_offset=70
    |xleft=0
    |xright=9
    |compact=yes
    |lowcap=yes
    |Round=yes
    |show_ending_condition=yes
    |condition_increase=2
    |Condition=Mired in Mail
    |Effect={{IL|Watchful|Appearance=W}} and {{IL|Dangerous|Appearance=D}} CP
  }}

Starting Mired in Mail	0–3	4	5	6	7	8	≥9
W and D CP	70	69	63	42	21	15	14
Ending Mired in Mail	2–5	6	7	8	9	10	≥11

A table with decreasing x

  {{SCurveTable
    |height=-56
    |k=2
    |midpoint=7
    |y_offset=70
    |xleft=10
    |xright=1
    |Round=yes
    |Condition=Mired in Mail
    |Effect={{IL|Watchful}} CP
  }}

Mired in Mail	10	9	8	7	6	5	4	3	2	1
CP	14	15	21	42	63	69	70	70	70	70

A multi-row table

  {{SCurveTable
    |height=-56
    |k=2
    |midpoint=7
    |y_offset=70
    |xleft=1
    |xright=10
    |max_columns=5
    |Round=yes
    |Condition=Mired in Mail
    |Effect={{IL|Watchful}} CP
  }}

Mired in Mail	1	2	3	4	5
CP	70	70	70	70	69
Mired in Mail	6	7	8	9	10
CP	63	42	21	15	14

Parameters

This template generates a table of calculated values for a given S-curve within a specified range.

Template parameters

This template prefers block formatting of parameters.

Parameter		Description	Type	Status
height	height	The numerator of the logistic function. Equal to the value approached as x approaches +∞ minus the value approached as x approaches -∞. Default 1	Number	suggested
k	k	The logistic growth rate. A constant that determines how steep the curve is. Default 1	Number	suggested
midpoint	midpoint	The x value at the S-curve's midpoint. Default 0	Number	suggested
y_offset	y_offset	The constant to add to the logistic function. If height is positive this will be the lower bound of the function whereas if height is negative this will be the upper bound. Default 0	Number	suggested
xleft	xleft xmin	The first x value to show on the table. Default 0	Number	suggested
xright	xright xmax	The last x value to show on the table. Default xleft	Number	suggested
Condition	Condition	Name of the Quality whose value is input to the S-curve. Example Artisan of the Red Science	Page	required
Condition alias	Condition alias	How the condition will be displayed on the header row. Example AotRS	Line	optional
Use Condition	Use Condition	If 'yes', Condition will employ the {{Use}} template. Otherwise the {{IL}} template will be used. Default 'yes' if on the main namespace, 'no' elsewhere Example yes	Line	suggested
show_ending_condition	show_ending_condition	If set to 'yes', will add an extra row showing the resulting value of the condition quality, for actions that depend on a quality and also increase it. Default no Example yes	Line	optional
condition_increase	condition_increase	The amount that the condition quality increases on each action. Has no effect if show_ending_condition is not 'yes'. Default 1 Example 2	Line	optional
Effect	Effect	Description of the S-curve output. Example {{IL|Watchful}} CP	Line	required
Round	Round	If set to 'yes', results will be rounded to the nearest integer, using round-to-even where relevant. Otherwise results will simply be truncated to three decimal places. Default no Example yes	Line	optional
max_columns	max_columns	The maximum number of data columns per table row. If not set, arbitrarily many columns will be allowed. Be careful using with compact=yes since significantly varying widths can result in jarring spacing. Example 10	Number	optional
compact	compact	If set to 'yes', x values with the same output will be grouped into a range rather than have separate columns. Typically only makes sense if Round is also set to 'yes'. Default no Example yes	Line	optional
lowcap	lowcap	If set to 'yes', the '≤' will never be added to the xleft column. Intended for when xleft represents the lowest observable value of Condition. Has no effect if compact is not 'yes'. Default no Example yes	Line	optional
highcap	highcap	If set to 'yes', the '≥' will never be added to the xright column. Intended for when xright represents the highest observable value of Condition. Has no effect if compact is not 'yes'. Default no Example yes	Line	optional

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