I have a maths problem I am somewhat stumped on. I need to map a numbers from one range to another in a nonlinear fashion. I have manually taken some sample data from what I am trying to achieve. That looks as such.
source – desired result
0 – 1
78 – 0.885
363 – 0.625
1429 – 0.3
3404 – 0.155
7524 – 0.075
11604 – 0.05
The source number ranges from 0 to, ideally an infinite number, but happy if it stops somewhere in the 10s of thousands. The resultant number is from 1 to 0. It needs to drop off quickly then level off. Ideally never reaching zero.
I am aware of the standard equation to map from one range to another.
y = ((x * origRange) / newRange) + newRangeOffset
Unfortunately this does not give me the desired results. Is there a elegant nonlinear equation that would give me the results I am after?
f(x) = 620 / (620 + x)gives an answer accurate to within 2% of all your values