Math > Logic for a Logarithmic Score Meter

Posted by oodavid on Game Development See other posts from Game Development or by oodavid
Published on 2013-11-12T22:44:13Z Indexed on 2013/11/13 4:15 UTC
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I'm trying to implement a score meter whereby I specify a maximum value (say 15,000) and I can render values on it in a logarithmic manner ie:

+------+---+--+-++        +------+---+--+-++
|==              |        |======          |
+------+---+--+-++        +------+---+--+-++
 200 pts                   1,000 pts

+------+---+--+-++        +------+---+--+-++
|=============   |        |================|
+------+---+--+-++        +------+---+--+-++
 5,000 pts                 15,000 pts +

The upper bound needs to be variable, and need to be able to convert a score to a percentage, using the above mockup as an example:

score2pct(15000, 200)   = 0.2
score2pct(15000, 1000)  = 0.4
score2pct(15000, 5000)  = 0.8
score2pct(15000, 15000) = 1

Does anyone have any pointers for me?

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