Difference between revisions of "Scaling"
From Tales of Maj'Eyal
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Example: This skill has a range of 5-10 <sup>[[Scaling#cTS|cTS]]</sup> | Example: This skill has a range of 5-10 <sup>[[Scaling#cTS|cTS]]</sup> | ||
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| + | For consistency with the Lua code, this page will use '''''x''''' to denote the value of a talent parameter and '''''t''''' the talent level. | ||
<span id="cS"></span> | <span id="cS"></span> | ||
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==combatTalentScale== | ==combatTalentScale== | ||
| − | + | ;Example of talent description | |
| − | + | :Talent parameter is '''''x<sub>1</sub>'''''-'''''x<sub>2</sub>'''''<sup>[[Scaling#cTS|cTS]]</sup> | |
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| − | + | ;What the game actually does | |
| + | :Using the function '''''x(t) = m * (t + shift) <sup>power</sup> + b + add''''', | ||
| + | :find the best fit to the two points '''''x( t<sub>1 </sub>)''''' = '''''x<sub>1</sub>''''' and '''''x( t<sub>2 </sub>)''''' = '''''x<sub>2</sub>''''', | ||
| + | :then return the value of the talent parameter '''''x(t)''''' with the fitted function using the actual talent level '''''t''''' of the character | ||
| − | + | ;Default values for the fit function are | |
| + | :'''''power = 0.5''''' | ||
| + | :'''''shift = 0''''' | ||
| + | :'''''add = 0''''' | ||
| + | :'''''t<sub>1</sub> = 1''''' | ||
| + | :'''''t<sub>2</sub> = 5''''' | ||
| − | + | ;Example of calculation | |
| + | :If the description of a talent is: This skill has a range of 5-10 <sup>[[Scaling#cTS|cTS]]</sup> | ||
| + | :Then the game will use default values to produce the fit function | ||
| + | :'''''x(t) = 4.045 * t <sup>0.5</sup> + 0.955''''' | ||
| + | :which would return the following values for the talent's range | ||
| + | :{|class = "wikitable" | ||
| + | !Talent Level ''t'' !!Range ''x(t)'' | ||
| + | |- | ||
| + | |1||5 | ||
| + | |- | ||
| + | |2||6.68 | ||
| + | |- | ||
| + | |3||7.96 | ||
| + | |- | ||
| + | |4||9.05 | ||
| + | |- | ||
| + | |5||10 | ||
| + | |} | ||
| + | :In cases such as this where non-integer values are not meaningful, they are generally rounded down to the nearest integer instead. | ||
<span id="cTWD"></span> | <span id="cTWD"></span> | ||
==combatTalentWeaponDamage== | ==combatTalentWeaponDamage== | ||
Revision as of 08:00, 24 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 denoted on each talent page with a superscripted link to this article for further details.
Example: This skill has a range of 5-10 cTS
For consistency with the Lua code, this page will use x to denote the value of a talent parameter and t the talent level.
combatScale
combatTalentLimit
combatTalentScale
- Example of talent description
- Talent parameter is x1-x2cTS
- What the game actually does
- Using the function x(t) = m * (t + shift) power + b + add,
- find 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 using the actual talent level t of the character
- Default values for the fit function are
- power = 0.5
- shift = 0
- add = 0
- t1 = 1
- t2 = 5
- 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
- In cases such as this where non-integer values are not meaningful, they are generally rounded down to the nearest integer instead.
