How to calculate local running total in a updating loop?

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Hao Zhang
Hao Zhang 2020-2-18
评论： Hao Zhang 2020-2-19
I have a variable A in a time updating loop, A is updated by a functoin f to another value:
While t<=T
A=A+f(B);
end
Now, Compute the running total of A is very simple:
S=0;
While t<=T
A=A+f(B);
S=S+A;
end
However, I only want the 10 most recent values of A to be added up in S:
S(t)=A(t-9)+A(t-8)+A(t-7)+A(t-6)+A(t-5)+A(t-4)+A(t-3)+A(t-2)+A(t-1)+A(t);
How could I do this in the loop? Note that it is not practical to save all the histroy of A into the memory because A is extremely big, not even the 10 most recent values. What is the most memory efficient way to do this?
Thanks!

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