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

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

Answer 1

[Matt J]

Looks like a simple, 2x2 linear equation system to me.

>> w=[1, 0;1,0.93]\[16;3]

w =

   16.0000
  -13.9785

[GEORGIOS BEKAS]

this is not a generic code

[Matt J]

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.