Look Up table Random breakpoints

In case of 1-D lookup table, input vector must be strictly monotonically increasing. I have some breakpoints which are constant. for e.g [1 2 3 3 3 4 5 5] Is there anyway to implement this

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Suppose the value you're looking up is 3, which of the 3 should be picked up in your breakpoint table?
the last value i.e. at last point among the three, so at breakpoint 4 in case of value 3

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the last value i.e. at last point among the three, so at breakpoint 4 in case of value 3
Then simply remove all duplicate breakpoint (and corresponding values) keeping only the last:
breakpoints = [1 2 3 3 3 4 5 5];
values = [1 2 3 4 5 6 7 8];
[newbreakpoints, indices] = unique(breakpoints, 'last');
newvalues = values(indices);
interp1(newbreakpoints, newvalues, [2.5 3.5])

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