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Interpolation problem. How can I generalize for a bigger number of intervals?
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Imagine that I want to express in a way that I will describe below, a number that falls into a possible range of values.
E.g. the worse value is 30 and the best is 2.
So 16 would be expressed as: 1*w1 + 0*w2.
And 3 would be expressed as: 1*w1 + 0.93*w2.
What is a general code for this pattern?
What if I would want to include more intervals?
Is the following code correct?
function [w1 w2] = intrpolate(worse,best, given)
md = (worse+best)/2
if given >= md
int = (given-md)/(best - md)
w1 = 1
w2 = int
int = abs((given-md))/(worse - md)
w1 = int
w2 = 0