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K Nested For Loops for arbitrary K
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I have a set of K nested "for" loops, where K is a variable. An example of my code for when K=4 is below. Is it possible to implement these nested "for" loops for arbitrary K, for example, by using recursion or a while loop?
K = 4;
phi_deg = -15:15;
N = length(phi_deg);
V = nchoosek(N+K-1,K); % https://math.stackexchange.com/questions/794716/the-number-of-different-ways-to-choose-k-out-of-n-unique-items
mat = zeros(V,K);
idx = 0;
for q1 = 1:N
for q2 = q1:N
for q3 = q2:N
for q4 = q3:N
idx = idx+1;
mat(idx,:) = phi_deg([q1,q2,q3,q4]);
end
end
end
end
Accepted Answer
Bruno Luong
on 28 Oct 2024
Edited: Bruno Luong
on 28 Oct 2024
No loop or no recursion is needed at all
K = 4;
phi_deg = -15:15;
N = length(phi_deg);
V = nchoosek(N+K-1,K);
mat = zeros(V,K);
idx = 0;
for q1 = 1:N
for q2 = q1:N
for q3 = q2:N
for q4 = q3:N
idx = idx+1;
mat(idx,:) = phi_deg([q1,q2,q3,q4]);
end
end
end
end
Q = nchoosek(1:N+K-1,K)-(0:K-1);
mat2 = phi_deg(Q);
isequal(mat,mat2)
You can then loop on the rows of mat2 generated as such if you have to.
2 Comments
Bruno Luong
on 28 Oct 2024
Moved: Bruno Luong
on 29 Oct 2024
% Q = nchoosek(1:N+K-1,K)-(0:K-1)
is too large to fit into memory, e.g. for k >= 10.
(but then you might not have time to process them all)
The template code looks like this
% https://www.mathworks.com/matlabcentral/fileexchange/91060-nchoosek_enum
k = 4;
phi_deg = -15:15;
n = length(phi_deg);
chunksize = 100;
i = 1:chunksize;
norepetition = false;
while true
if norepetition
c = nchoosek_enum(n, k, i);
else
c = nchoosek_enum(n+k-1, k, i);
c = c - (0:k-1);
end
for r=1:size(c,1)
q = c(r,:);
endcomb = any(isnan(q));
if endcomb
break
end
% do something with cr
mat_i = phi_deg(q);
fprintf('%s\n', mat2str(mat_i));
...
end
if endcomb
break
end
i = i + chunksize;
end
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[-...
Bruno Luong
on 29 Oct 2024
Moved: Bruno Luong
on 29 Oct 2024
For completeness here is a recursion code
k = 4;
phi_deg = -15:15;
n = length(phi_deg);
mydata = struct('phi_deg', phi_deg);
RecursLoop(n, k, [], mydata);
[-15 -15 -15 -15]
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[-14 -8 0 6]
[-14 -8 0 7]
[-14 -8 0 8]
[-14 -8 0 9]
[-14 -8 0 10]
[-14 -8 0 11]
[-14 -8 0 12]
[-14 -8 0 13]
[-14 -8 0 14]
[-14 -8 0 15]
[-14 -8 1 1]
[-14 -8 1 2]
[-14 -8 1 3]
[-14 -8 1 4]
[-14 -8 1 5]
[-14 -8 1 6]
[-14 -8 1 7]
[-14 -8 1 8]
[-14 -8 1 9]
[-14 -8 1 10]
[-14 -8 1 11]
[-14 -8 1 12]
[-14 -8 1 13]
[-14 -8 1 14]
[-14 -8 1 15]
[-14 -8 2 2]
[-14 -8 2 3]
[-14 -8 2 4]
[-14 -8 2 5]
[-14 -8 2 6]
[-14 -8 2 7]
[-14 -8 2 8]
[-14 -8 2 9]
[-14 -8 2 10]
[-14 -8 2 11]
[-14 -8 2 12]
[-14 -8 2 13]
[-14 -8 2 14]
[-14 -8 2 15]
[-14 -8 3 3]
[-14 -8 3 4]
[-14 -8 3 5]
[-14 -8 3 6]
[-14 -8 3 7]
[-14 -8 3 8]
[-14 -8 3 9]
[-14 -8 3 10]
[-14 -8 3 11]
[-14 -8 3 12]
[-14 -8 3 13]
[-14 -8 3 14]
[-14 -8 3 15]
[-14 -8 4 4]
[-14 -8 4 5]
[-14 -8 4 6]
[-14 -8 4 7]
[-14 -8 4 8]
[-14 -8 4 9]
[-14 -8 4 10]
[-14 -8 4 11]
[-14 -8 4 12]
[-14 -8 4 13]
[-14 -8 4 14]
[-14 -8 4 15]
[-14 -8 5 5]
[-14 -8 5 6]
[-14 -8 5 7]
[-14 -8 5 8]
[-14 -8 5 9]
[-14 -8 5 10]
[-14 -8 5 11]
[-14 -8 5 12]
[-14 -8 5 13]
[-14 -8 5 14]
[-14 -8 5 15]
[-14 -8 6 6]
[-14 -8 6 7]
[-14 -8 6 8]
[-14 -8 6 9]
[-14 -8 6 10]
[-14 -8 6 11]
[-14 -8 6 12]
[-14 -8 6 13]
[-14 -8 6 14]
[-14 -8 6 15]
[-14 -8 7 7]
[-14 -8 7 8]
[-14 -8 7 9]
[-14 -8 7 10]
[-14 -8 7 11]
[-14 -8 7 12]
[-14 -8 7 13]
[-14 -8 7 14]
[-14 -8 7 15]
[-14 -8 8 8]
[-14 -8 8 9]
[-14 -8 8 10]
[-14 -8 8 11]
[-14 -8 8 12]
[-14 -8 8 13]
[-14 -8 8 14]
[-14 -8 8 15]
[-14 -8 9 9]
[-14 -8 9 10]
[-14 -8 9 11]
[-14 -8 9 12]
[-14 -8 9 13]
[-14 -8 9 14]
[-14 -8 9 15]
[-14 -8 10 10]
[-14 -8 10 11]
[-14 -8 10 12]
[-14 -8 10 13]
[-14 -8 10 14]
[-14 -8 10 15]
[-14 -8 11 11]
[-14 -8 11 12]
[-14 -8 11 13]
[-14 -8 11 14]
[-14 -8 11 15]
[-...
function RecursLoop(n, k, qhead, mydata)
if isempty(qhead)
jfirst = 1;
else
jfirst = qhead(end);
end
jlast = n;
q = [qhead, 0]; % dummy last value
j = numel(q);
islastloop = j == k;
for qj = jfirst:jlast
q(j) = qj;
if islastloop
mati = mydata.phi_deg(q);
fprintf('%s\n', mat2str(mati));
... do something with q and mati
else
RecursLoop(n, k, q, mydata);
end
end
end % RecursLoop
More Answers (2)
Walter Roberson
on 28 Oct 2024
Edited: Walter Roberson
on 28 Oct 2024
See sample code at https://www.mathworks.com/matlabcentral/answers/357969-using-recursive-function-to-calculate-all-possible-peptide-combinations#answer_282766 for the "odometer" pattern.
3 Comments
Stuart Rogers
on 28 Oct 2024
You linked to my post. Did you mean to link to this post? https://www.mathworks.com/matlabcentral/answers/357969-using-recursive-function-to-calculate-all-possible-peptide-combinations#answer_282766
Image Analyst
on 28 Oct 2024
The link just points to this page.
Walter Roberson
on 28 Oct 2024
Ooops, you are right; I have corrected the URL.
Torsten
on 28 Oct 2024
Edited: Torsten
on 28 Oct 2024
I'd generate all possible k-tuples out of the n numbers and throw away those that are not monotonic by using the "diff" command:
A = [1 3 5; 3 1 4; 2 2 8];
idx = all(diff(A,1,2)>=0,2)
idx = 3x1 logical array
1
0
1
A(idx,:)
ans = 2×3
1 3 5
2 2 8
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