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 Need Help??

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:

1. importance: this controls the upper limit of the range, eg 0..10, 0..100
2. radius: ie any distance within this inner radius should be pretty much as important as any other point within this radius
3. dropoff: (optional) how quickly the boost should drop off as distance increases

My basic formula is:

```
boost = importance / ((radius + distance) ** dropoff)

For instance, an importance of 100, a dropoff of 0.5 and a radius of 0 gives me a curve like:
```
16   : @@@@@@@@@@@@@@@@@@@@@@@@@
32   : @@@@@@@@@@@@@@@@@
64   : @@@@@@@@@@@@
128  : @@@@@@@@
256  : @@@@@@
512  : @@@@
1024 : @@@
2048 : @@
4096 : @
8192 : @

But with a radius of 1000, I get a much smaller range:
```    16   : @@@
32   : @@@
64   : @@@
128  : @@
256  : @@
512  : @@
1024 : @@
2048 : @
4096 : @
8192 : @

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

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