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Should interp1.m function allow jumps in X-values?


From: vivek dogra
Subject: Should interp1.m function allow jumps in X-values?
Date: Tue, 21 Aug 2012 13:56:47 +0530

Hello,
Currently, interp1.m allows at most one identical pair of values in X.  My concern is should it really do that? My arguments are as follows:

In my opinion repeated values should not be allowed for interpolation. Let's say i have following data points:

 x  f(x)
0    4
1    6 
2    8
3    10

Now if i want to get f(1.5) then i will take the value midway between f(1) and f(2) which would be 7. Now in case i have repeated values the data points will be:

x   f(x)
0    4
1    6
1    7  
2    8 
3   10

Now in this case what f(1.5) will be? 7 or 7.5? (What will you call the best interpolation?) There will be ambiguity in this case. Also in the present case the sample points are nicely behaving so there is not much difference between 7 and 7.5. Although in some cases (if let's say f(1) = 6 and f(1) = 9) there can be lot of difference between answers when we choose one data point over another. 
So Octave should not allow repeated x values.




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