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Interpolation code. How can I deal with a strange problem.

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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?
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
else
int = abs((given-md))/(worse - md)
w1 = int
w2 = 0
end
end

Answers (1)

Matt J
Matt J on 14 Jun 2020
Edited: Matt J on 14 Jun 2020
Looks like a simple, 2x2 linear equation system to me.
>> w=[1, 0;1,0.93]\[16;3]
w =
16.0000
-13.9785
  2 Comments
Matt J
Matt J on 14 Jun 2020
Edited: Matt J on 14 Jun 2020
Your problem description was no more generic... Are you saying the numbers 1, 0.93, 16 etc... could be different in the future? Well, it still seems obvious how you would generalize it, if so.

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