flow redirection in an array

Question

Ano 2016-5-12

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https://ww2.mathworks.cn/matlabcentral/answers/283873-flow-redirection-in-an-array

回答： Ano 2016-5-12

Dear all, I would like to perform a flow redirection for a dam of water once a condition is verified, here I am given an example to clarify the idea and the result that I would like to obtain, so you can help me figure out what is the proper way to do it. such each column is a 'door' where the flow can pass, and the rows are the time, once the flow is =10, the flow must be redirected to a new door (create a new column) and the flow at the old door must be reduced to 0, the new door is closed if the flow at the old door is below 10, otherwise it must continue within the new door, such the newData matrix must be as follow:

    data= 2    1  3  4
          2    1  10  4
          2    1  10  4
          1    3  10  10
          1    2  10  10
          1    2  10  4
 newData= 2  1  3  4  0  0
          2  1  0  4  3  0
          2  1  0  4  3  0
          1  3  0  0  3  4
          1  2  0  0  3  4
          1  2  0  4  3  0

any suggestions?! thank you!

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Guillaume 2016-5-12

Why do the new columns receive 3 and 4 respectively?

Ano 2016-5-12

they receive the previous value that comes directly before the flow reach its limit in this case 10.

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Answer 1

Andrei Bobrov 2016-5-12

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data= [2    1  3  4
          2    1  10  4
          2    1  10  4
          1    3  10  10
          1    2  10  10
          1    2  10  4]
t = data >= 10;
ii = any(t);
t0 = t(:,ii);
[m,n] = size(t0);
d = data(:,ii);
k = cumsum(t0).*t0;
v = d([k(2:end,:);zeros(1,n)] == 1);
newData = [data(:,~ii),reshape(bsxfun(@times,v(:)',cat(3,~t0,t0)),m,[])]

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Answer 2

Ano 2016-5-12

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https://ww2.mathworks.cn/matlabcentral/answers/283873-flow-redirection-in-an-array#answer_221862

Dear Andrei Bobrov, the code that you provided works perfectly, but I would like to know how you have model it (the idea not the code because it is clear). Also I would like to mention that my biggest obstacle here is how to know which door was opened/ closed (reduced to zero) knowing that I am dealing with a quite large matrices and the matrices are evolving in function of the time. Many thanks and kind regards!