Given two points,
and
, a new location x, and a method "linear" or "cubic", return the value of a linear or cubic interpolant through the two points at the new location x, using the formulas below.
Linear: 
Cubic: 
where
and
.
(This formulation for the cubic interpolant has zero derivative at each interpolation point.)
If
, your function should produce an error with the message "x2 must be greater than x1".
If
, your function should produce a warning with the message "x is outside the interval [x1,x2]" (but still return the value of the interpolant).
If the method is given as anything other than "linear" or "cubic", your function should produce an error with the message "method must be either "linear" or "cubic"".
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This problem is not necessarily easy because it tests two disparate things. One of those things, warnings and errors, is rarely presented or tested on Cody. It would be helpful to have more problems that test warning and error usage.
This is just to say that I fully agree with what goc3 wrote!
Rarely I have seen warnings and errors tested on Cody.
For example it would be nice to test errors where (as it is good practice and can be set in the MATLAB code Analyzer preferences),
"The first argument of error should be a message identifier".
Is there a problem with testcase 2 ?
Nikolaos, the reference solution is working fine, there seems to be no problem with the test suite.