MATLAB: How to create N-tuples in Matlab

MATLAB

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))

Best Answer

dec2bin(0:2^3-1)-'0'

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try use this is code:

GGG =[ 0     1     0     0     0     1     0     0     0     0
     0     1     0     0     0     1     0     0     0     0
     1     1     0     0     0     0     0     0     0     0
     0     0     0     0     0     1     0     0     0     0
     0     0     0     1     0     1     0     0     0     1
     0     0     1     0     0     1     0     0     0     0
     0     0     0     1     0     0     0     0     0     0
     0     1     0     1     0     0     0     0     0     1
     1     0     0     1     0     0     0     0     0     0
     0     0     0     0     0     1     0     0     0     1]
out = GGG*2.^(size(GGG,2)-1:-1:0).';

MATLAB: How to convert array to tuple

MATLAB does not have tuples.

You can use sub2ind to convert multiple subscripts to linear indices.

MATLAB does have comma separated lists. It would be valid to do

T = num2cell(a) ;
A(T{:})

Unfortunately there does not appear to be any way in MATLAB to combine those two steps without using an intermediate true function, at least not in the general multidimensional case. You can always define something like

tuple2 = @(A,v) sub2ind(size(A), v(1), v(2))

After which you could use

A(tuple2(A, a))

But it hardly seems worth it.

Best Answer

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MATLAB: Change binary string to decimal

MATLAB: How to convert array to tuple

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