|Welcome to the Monastery|
[OT] Normalizing the return result of an exponential formulaby clinton (Priest)
|on Apr 14, 2011 at 15:45 UTC||Need Help??|
clinton has asked for the
wisdom of the Perl Monks concerning the following question:
I'm trying to come up with a formula that I can use to represent distance from a central point, and will return a boost value in a range, eg 0..10.
This formula can accept two (or maybe 3) variables:
My basic formula is:
For instance, an importance of 100, a dropoff of 0.5 and a radius of 0 gives me a curve like:
But with a radius of 1000, I get a much smaller range:
I would like to change the formula to make the upper limit of the range dependent only on importance and not on radius. For the life of me I can't figure out how to do that.
PS: distance can be considered to have an upper limit of, eg, 10,000km if that helps
PPS: As an optional extra, it would be nice to be able to configure the rate of dropoff without affecting the upper limit of the range, but I can live without it