how to generate and cover all the possible arrays using two enties

Hi Dear All,

I have an array of 1*4, in which each array can be of two strings 'H' or 'C'. to elaborate on it more this can be like below:

[H H H H] or [H H H C] or [H C C C] or ..........[C C C C}

in total there would be 2*2*2*2=16 case for that.

I would like to generate all the 16 cases and following that I want to proceed the calculations. I dont know how to form these 16 cases and cover all the possible cases for that.

I would appreciate your support in advance.

Answer 1

[DGM]

If you mean actual strings instead of chars, then:

A = dec2bin(0:15);
A(A=='1') = 'H';
A(A=='0') = 'C';
A = string(num2cell(A))

A = 16×4 string array
    "C"    "C"    "C"    "C"
    "C"    "C"    "C"    "H"
    "C"    "C"    "H"    "C"
    "C"    "C"    "H"    "H"
    "C"    "H"    "C"    "C"
    "C"    "H"    "C"    "H"
    "C"    "H"    "H"    "C"
    "C"    "H"    "H"    "H"
    "H"    "C"    "C"    "C"
    "H"    "C"    "C"    "H"
    "H"    "C"    "H"    "C"
    "H"    "C"    "H"    "H"
    "H"    "H"    "C"    "C"
    "H"    "H"    "C"    "H"
    "H"    "H"    "H"    "C"
    "H"    "H"    "H"    "H"

[R@SH]

Dear DJM,

Thank you so much for your prompt and accurate responce. It was really eye opening. Now I would like to take this question one step further.

I would like to write one for loop with an inner loop, evaluating the responce of only one case in each loop. So I am not allowed to produce to cases in each loop. To explain more:

if the case is 4, I have to evaluate 2+4+8+16=30 cases, not two cases in one loop. in this I have to evaluate the responce of below cases:

[0] [1]

[00] [01] [10] [11]

[000] [001] [010] [011] [100] [101] [110] [111]

[0000] [0001] [0010] [0011] ....................[1111]

These consist 30 cases. It should be mentioned that [0] is different from [00]. So we will have 30 differnt cases. I wrote this code as below, but I dont want to be given more than one case in each loop:

for i=1:4

for j=1:2^i

A=des2bin(j-1);

In this case the code is ran just by increasing j and without any infuence from i. How can I edit that?

I would appreciate to have your solution on this matter as well

[R@SH]

in other words:

des2bin (0)=0=00=000=0000.

But these are all different in reality.

How can I take control of the numbers of binary digits in binary number?

[DGM]

You could do something like this

dec2bin(0,2)

ans = '00'

dec2bin(0,4)

ans = '0000'

That would allow you to explicitly set the field width

[R@SH]

I appreciate your full support dear DGM.

Answer 2

[Akira Agata]

Another possible solution:

[p,q,w,s] = ndgrid({'H','C'});
A = [p(:),q(:),w(:),s(:)];
disp(A)

    {'H'}    {'H'}    {'H'}    {'H'}
    {'C'}    {'H'}    {'H'}    {'H'}
    {'H'}    {'C'}    {'H'}    {'H'}
    {'C'}    {'C'}    {'H'}    {'H'}
    {'H'}    {'H'}    {'C'}    {'H'}
    {'C'}    {'H'}    {'C'}    {'H'}
    {'H'}    {'C'}    {'C'}    {'H'}
    {'C'}    {'C'}    {'C'}    {'H'}
    {'H'}    {'H'}    {'H'}    {'C'}
    {'C'}    {'H'}    {'H'}    {'C'}
    {'H'}    {'C'}    {'H'}    {'C'}
    {'C'}    {'C'}    {'H'}    {'C'}
    {'H'}    {'H'}    {'C'}    {'C'}
    {'C'}    {'H'}    {'C'}    {'C'}
    {'H'}    {'C'}    {'C'}    {'C'}
    {'C'}    {'C'}    {'C'}    {'C'}

[R@SH]

thank you so much dear Akira. It was really helpful