matlab - moving mean on a circle -

is there way calculate moving mean in way values @ beginning , @ end of array averaged ones @ opposite end?

for example, instead of result:

a=[2 1 2 4 6 1 1]; movmean(a,2) ans = 2.0 1.5 1.5 3.0 5 3.5 1.0

i want obtain vector [1.5 1.5 1.5 3 5 3.5 1.0], initial array element 2 averaged ending element 1.

generalizing arbitrary window size n, how can add circular behavior movmean in way want:

movmean(a([(end-floor(n./2)+1):end 1:end 1:(ceil(n./2)-1)]), n, 'endpoints', 'discard')

for given a , n = 2, get:

ans =  1.5000    1.5000    1.5000    3.0000    5.0000    3.5000    1.0000

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