Interpolating a function that is constant over some parts of its domain?

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Jonathan Hawkins 2017-6-12

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https://ww2.mathworks.cn/matlabcentral/answers/344384-interpolating-a-function-that-is-constant-over-some-parts-of-its-domain

评论： Jonathan Hawkins 2017-6-13

I'm trying to write code that will linearly interpolate samples from a generic real-valued function. Interp1 seems to break if the function is constant over any part of its domain, and unfortunately for me this is an extremely common use case - as a simple function:

       {0, if x<0
f(x) = {x, if 0<=x<=1
       {1, otherwise

It seems like interp1([0, 0, 1, 1], [-10,0,1,10], x) ought to return this function (for x \in [-10,10]), but instead I get the error that "The grid vectors must contain unique points."

Is there another interpolation function that doesn't break when you feed it functions that are sometimes constant?