Is there any better alternative of four nested loops?

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Sheet
Sheet 2023-2-7
编辑： DGM 2023-2-8
Hi,
I have certain matrices e1, e2, e3 & e4 corresponding to u1, u2, u3 & u4 of sizes h1, h2, h3, & h4 respectively. I have to search for
(a row of e1)+(a row of e2)+ (a row of e3) = -(a row of e4)
and report corresponding rows of u1, u2, u3 & u4 with name A, B, C & D. Here is my code:
for i1=1:h1(1,1)
for j1=1:h2(1,1)
for k1=1:h3(1,1)
R=[e1(i1,:)+e2(j1,:)+e3(k1,:), i1, j1, k1];
for z=1:h4(1,1)
if e4(z,:)==-R(1:(length(R)-3))
A=u1(R(1,length(R)-2),:)
B=u2(R(1,length(R)-1),:)
C=u3(R(1,length(R)),:)
D=u4(z,:)
end
end
end
end
end
Is there any short cut? Please help me.
Thank you in advance.
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Sheet
Sheet 2023-2-8
Thank you.
Can we implement genetic algorithm or any other search method into it? How?
DGM
DGM 2023-2-8
编辑：DGM 2023-2-8
I don't know. I wouldn't be the one to ask about GA stuff.
If the values in the arrays have some sort of order to them, there might be simplifications.

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回答（1 个）

Constantino Carlos Reyes-Aldasoro
Ran in:
Hi
In Matlab, if you think in matrices you can avoid many many many loops. For example, if you want to find if a column of a certain matrix (call that a) is equal to a different matrix (call that b), you can do that directly in a single command:
a = [1 2 3 4; 2 3 4 5; 3 4 5 6; 1 2 3 9;0 1 0 1]
a = 5×4
1 2 3 4 2 3 4 5 3 4 5 6 1 2 3 9 0 1 0 1
b = [2 3 4 2 1]';
a==repmat(b,[1 4])
ans = 5×4 logical array
0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1
So, I compared matrix b with all the columns of a, to do that I repeated b (repmat) 4 times. You will see that all the elements of the second column are the same as those elements of b and thus all are 1. In the fourth column, there is just one element that is the same. So, what I want is all the elements to be the same, so I will use all, and eventually, what I want is to know which column is the one that matches, so I will use find:
all(a==repmat(b,[1 4]))
ans = 1×4 logical array
0 1 0 0
find(all(a==repmat(b,[1 4])))
ans = 2
So without any loops, I have found which column of a matches b. Use these ideas and you may still need one loop but in general using matrices and matrix operations is much faster and efficient than using loops.

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