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Using Mathematical Expressions for Skill Pages

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Out of curiosity, where did those formulas come from? Are they estimations made by players?

12:05, 23 September 2018

Kinda. The formulas can be found manually in game with a little bit of mathematics.

For most percentage values it goes as follows:

For all values of n >= 1 (with n being the current skill's level):

Base Level 1 Percentage Value + Per Level Multiplier*(n-1)%

For Fixed Damage attacks it works pretty much the same way, just requires a lot more code...

For a more precise estimation for the Per Level Multiplier, I usually use the highest possible values and use a little algebra to solve for the multiplier.

12:30, 23 September 2018

So fixed damage skills are like:

(fixed damage * independent attack) + (independent level multiplier * independent attack)*(n-1);

12:34, 23 September 2018

Not exactly. It would be: (Skill's Level 1 Fixed Damage/Your Independent Attack) + (Independent Attack Level Multiplier) * (n-1)

To solve for the Independent Attack Level Multiplier: Let's treat the 'Independent Attack Level Multiplier' as 'X' and 'n' as the skill's current level.

X = ((Skill's highest possible Fixed Damage/Your Independent Attack) - (The Skill's Level 1 Fixed Damage/Your Independent Attack))/(n-1)

OR

X = (Skill's highest possible fixed damage - Skill's Level 1 Fixed Damage)/(Your Independent Attack * (n-1))

Also, we do have template to calculate the Ratio for Independent Attack called AbsoluteDamage.

12:57, 23 September 2018
Edited by author.
Last edit: 13:08, 23 September 2018

So something like: {{AbsoluteDamage|472|472}} + {{AbsoluteDamage|47|472}}*(n-1)

13:05, 23 September 2018

{{AbsoluteDamage|472|472}} + {{AbsoluteDamage|472|472}}*(n-1)

13:06, 23 September 2018

Yeah something like that. Thanks for pointing that out to me.

It might even be easier if we just omit the 'Your Independent Attack' from the equation I stated earlier.

So it turns out like this:

X = (Skill's highest possible fixed damage - Skill's Level 1 Fixed Damage)/(n-1)

As mentioned in your example, it would be basically this:

{{AbsoluteDamage|Skill's level 1 Fixed damage|Your Independent Attack}}+{{AbsoluteDamage|X|Your Independent Attack}}*(n-1)
13:24, 23 September 2018

Hey, I've noticed that certain skills like Aura Javelin and Lollipop Crush have quite extensive tables that might hover off the page once we put in the expressions. Do you think it would be better if we keep this information in a table or list them out similarly to the 'Skill Options' in-game?

10:47, 24 September 2018

Because we are now using a single formula instead of listing each level in a table, we don't necessarily need to use tables at all. It's just that the current skill page template automatically takes a table. I actually tried putting two separate tables on the Lolipop Crush page, but the skill page refused to display a second table correctly. I ended up squishing both tables into the single skill growth table.

I guess the question is if we're going to create a new skill page template.

10:59, 24 September 2018

Creating a new skill page template is unnecessary as the table function is completely independent from the template for it to display correctly. You can literally type anything in the area and it should be able to display normally, with the exception of tables or tabs for some reason which require an outer call of

<span style="display:none">{{</span> <span style="display:none">}}</span>

.

To list out the skill options under skill growth, we can always use the SkillAttribute template and put in the individual expressions there.

11:21, 24 September 2018

Is there any limit to the SkillAttribute template? Some skills have lots of various effects and I don't know if it matters what we try to list that way.

11:30, 24 September 2018

The SkillAttribute Template can only hold two arguments, the name of the option and the value (or in this case the skill growth expression).

So in the case of Lollipop Smash, it would be something like this:

*{{SkillAttribute|Level|n}}
*{{SkillAttribute|Lv Req|80+2(n-1)}}
*{{SkillAttribute|MP|800+133.334(n-1)}}
*{{SkillAttribute|Smash Atk|{{AbsoluteDamage|364914|1265}} +{{AbsoluteDamage|37018|1265}}(n-1)}}
*{{SkillAttribute|Sugar Doll Explosion Attack|{{AbsoluteDamage|99340|1265}} +{{AbsoluteDamage|10082|1265}}(n-1)}}
*{{SkillAttribute|Boss/Named Doll Explosion Attack|{{AbsoluteDamage|233303|1265}} +{{AbsoluteDamage|23668.334|1265}}(n-1)}}
*'''{{IconLink|Blind (Status)}} Effect:'''
**{{SkillAttribute|Lv|82+2(n-1)}}
**{{SkillAttribute|Chance|50%+5(n-1)%}}
**{{SkillAttribute|Duration|2+0.5(n-1) sec}}
*'''{{IconLink|Shock (Status)}} Effect:'''
**{{SkillAttribute|Lv|82+2(n-1)}}
**{{SkillAttribute|Chance|50%+10(n-1)%}}
**{{SkillAttribute|Atk.|{{AbsoluteDamage|8626|1265}} +{{AbsoluteDamage|875.667|1265}}(n-1)}}
  • Level: n
  • Lv Req: 80+2(n-1)
  • MP: 800+133.334(n-1)
  • Smash Atk:
    288.47
    max-width:200px 100
    +
    29.26
    max-width:200px 100
    (n-1)
  • Sugar Doll Explosion Attack:
    78.53
    max-width:200px 100
    +
    7.97
    max-width:200px 100
    (n-1)
  • Boss/Named Doll Explosion Attack:
    184.43
    max-width:200px 100
    +
    18.71
    max-width:200px 100
    (n-1)
  • Blind (Status).png Blind (Status) Effect:
    • Lv: 82+2(n-1)
    • Chance: 50%+5(n-1)%
    • Duration: 2+0.5(n-1) sec
  • Electrocution (Status).png Shock (Status) Effect:
    • Lv: 82+2(n-1)
    • Chance: 50%+10(n-1)%
    • Atk.:
      6.82
      max-width:200px 100
      +
      0.69
      max-width:200px 100
      (n-1)
11:44, 24 September 2018

That doesn't look too bad. Looks nicer than my two tables squished together. I guess we could do things that way. Might make things easier to read for people using smartphones.

11:50, 24 September 2018

Looks good to me too. I suppose we can make this the new makeshift standard. I'll go inform User:Dfoplayer of the change. Let's just be sure to update the older (up-to-date) pages to this format later.

12:06, 24 September 2018
 

I would probably recommend something that allowed a "live" fiddling with the level, or at least showing the "Level 1 and Max" versions of a skill.

In addition several skills have breakpoints, where it might be better to list what's going on Lesser Spirit: Stalker.

In a perfect world, there would be a widget that had a slider where you could see breakpoints, but that's never going to happen I think.

I don't think pure mathematical expressions are useful for the average player.

12:00, 5 November 2018

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