Make unequally spaced data x,y equally spaced

Hi all,
I have this issue: I have x and y data where x that is unequally spaced, for example:
x=[99.5,100,100.5,101,104,106,108,110,112,116,120,124,128] and y=[does not matter]
Is there a transformation I can use to have x equally spaced with the smallest step (0.5 in this case) and y being smoothed (monotonically increasing or decreasing) in between the newly added points?
Thanks

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