How to create N-tuples in Matlab?
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What would be the easiest way to create a list of n-tuples in Matlab?
For example, if I want to generate all possible 3-tuples of 0 and 1: I'd want to generate the following set of tuples:
((0,0,0),(0,0,1),(0,1,0),(0,1,1),(1,0,0),(1,0,1),(1,1,0),(1,1,1))
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Accepted Answer
Bruno Luong
on 29 Sep 2018
dec2bin(0:2^3-1)-'0'
2 Comments
Walter Roberson
on 30 Sep 2021
A = dec2bin(0:2^3-1)
dec2bin() outputs characters.
double(A)
Those characters have internal codes 48 ('0') or 49 ('1')
B = '0'
double(B)
The character code for '0' is 48
A - B
subtract the character code for '0' from the character codes for the bits to get relative offsets compared to '0' . Characters that were '0', upon having '0' subtracted, give a result of (numeric) 0 . Characters that were '1', upon having '1' subtracted, give a result of (numeric) 1 because the internal code for the character '1' is (numeric) 1 greater than the internal code for the character '0'
So subtracting '0 converts between characters '0' and '1' to numeric 0 and 1.
More Answers (2)
Steven Lord
on 5 Jan 2024
If you're using release R2023a or later of MATLAB you could use the combinations function to do this.
v = [0 1];
c = combinations(v, v, v)
If you need the result as a numeric array rather than a table array:
c = combinations(v, v, v).Variables
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Stephan Reichelt
on 5 Jan 2024
There is another quite simple implementation of this problem:
% define the values
v = [0, 1]
% generate all combinations of length 3 with repetitions
C = combvec(v,v,v)'
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John D'Errico
on 5 Jan 2024
Note that combvec is not found in MATLAB, unless you have the neural net toolbox.
which combvec -all
help combvec
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