Difference between revisions of "Scaling"

Revision as of 07:21, 27 July 2014

This page will list some of the scaling functions that are frequently used in game to calculate talent parameters. The sections below are named after the actual function names used in the game's Lua files. The goal here is to provide a very basic understanding of how various talent parameters are scaled so that talent pages do not need to be filled with a plethora of X's. Instead, the actual range of values can be displayed on each talent page with a footnote linking to this article for further details.

For consistency with the Lua code, this page will use x to denote the value of a talent parameter and t the talent level.

(cS) combatScale

(cSL) combatStatLimit

(cSS) combatStatScale

(cTL) combatTalentLimit

(cTMD) combatTalentMindDamage

Example of talent description

Talent deals x₁–x₂^cTMD damage.

What the talent description means

The talent's damage will scale linearly with respect to both mind power and talent level, dealing x₂ damage at 100 mind power and talent level 5.

(this is all you need to know in the majority of cases)

(cTS) combatTalentScale

Example of talent description

Talent parameter is x₁–x₂^cTS

What the talent description means

The talent parameter will have value x₁ at talent level 1, and value x₂ at talent level 5, with some diminishing returns.

(this is all you need to know in the majority of cases)

What the game actually does

Using the function x(t) = m * (t + shift) ^power + b + add,

find the values of m and b that produce the best fit to the two points x( t₁ ) = x₁ and x( t₂ ) = x₂,

then return the value of the talent parameter x(t) with the fitted function given the actual talent level t of the character

Default values for the fit parameters are

power = 0.5

shift = 0

add = 0

t₁ = 1

t₂ = 5

Custom fit parameters should be noted on the talent page if possible

If the talent description is: This skill has a range of 5–10^cTS:0.75P

then the fit parameter power = 0.75 will be used instead.

Example of calculation

If the description of a talent is: This skill has a range of 5–10^cTS

then the game will use default values to produce the fit function

x(t) = 4.045 * t ^0.5 + 0.955

which would return the following values for the talent's range

Talent Level t	Range x(t)
1	5
2	6.68
3	7.96
4	9.05
5	10
6	10.86
7	11.66

In cases such as this where non-integer values are not meaningful, they are generally rounded down to the nearest integer instead.

(cTSD) combatTalentStatDamage

(cTWD) combatTalentWeaponDamage