1.9.0 • Published 3 months ago

@taiko-wiki/taiko-rating v1.9.0

Weekly downloads
-
License
ISC
Repository
github
Last release
3 months ago

Taiko Rating

Calculates ratings using Donder Hiroba.

Guide

Here is a guide to how to watch your rating using Donderhiroba Plus and taiko.wiki.

Experience Points

Experience points are calculated based on the user's play records.

The calculation method for experience points is as follows:

\begin{align}
&A = \mathrm{(Sum \, of \, top \, 1 \sim 30 \, ratings)}\\
&B = \mathrm{(Sum \, of \, top \, 31 \sim 50 \, ratings)}\\
&C = \mathrm{(Sum \, of \, top \, 51 \sim 100 \, ratings)}\\
&D = \mathrm{(Sum \, of \, top \, 101 \sim 150 \, ratings)}\\
&E = \mathrm{(Sum \, of \, top \, 151 \sim \, ratings)}\\ {} \\
&\mathrm{Rating} = ceil(\frac{A + 0.9\times B}{50} + 0.01 \times C + 0.001 \times D + 0.0001 \times E)
\end{align}

Rating

The rating value is

(Sum\,of\,top50\,song\,ratings)/50

Song Rating

The calculation method for each song rating is as follows:

\mathrm{Song\,Rating} = ceil(\mathrm{(Modified\,Accuracy)} \times \mathrm{(Fumen\,Measure)} \times \mathrm{(Modified\,Crown\,value)} \div 1000)

Accuracy

Accuracy can be calculated as follows:

\mathrm{Accuracy} = 
\begin{cases}
(\frac{\mathrm{Good \times 2 + Ok}}{\mathrm{Max\,Combo \times 2}} + min(0.01, \frac{Roll}{\mathrm{Max\,Roll}})) \times 100\,\,\,\,(\mathrm{Max\,Roll} > 0) \\
(\frac{\mathrm{Good \times 2 + Ok}}{\mathrm{Max\,Combo \times 2}}) \times 101\,\,\,\,(\mathrm{Max\,Roll} = 0)
\end{cases}

Modified Accuracy

The calculation method for getting modified accuracy is as follows:

\mathrm{modify}(x) = 
\begin{cases}
e^{\frac{ln400001}{60}x} - 1 \quad (0 \leqq x < 600000)\\
\frac{5}{3}(10000x-600000)+400000 \quad (60 \leqq x < 75)\\
\frac{3}{2}(10000x-750000)+650000 \quad (75 \leqq x < 95)\\
\frac{150000}{ln16}ln(x-94)+950000 \quad (95 \leqq x)
\end{cases}

Max Roll

\mathrm{Max\,Roll} = 
\begin{cases}
min(floor((\mathrm{World\,Best\,Record\,Roll\,Count}) * 0.85), 100)\,\,\,\,((\mathrm{World\,Best\,Record\,Roll\,Count}) > 5)\\
(\mathrm{World\,Best\,Record\,Roll\,Count})\,\,\,\,(O.W.)
\end{cases}

graph

Modified Crown Value

The calculation method for the crown modifier is as follows:

Not cleared: 0.7
Cleared but the accuracy is under 85%: 0.7
Cleared: 1
Full Combo: 1.05
Donderful Combo: 1.1
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