Generate all possible combinations of input vector Then store the input and outputs in each iteration in .mat file

In the following code I want to generate all probability of being 0.5 in vector 'Pd' .

For example:

In the first iteration Pd will be as the following : Pd=[0.5 1 1 1 1 1 1]'

In the second iteration Pd will be as the following : Pd=[1 0.5 1 1 1 1 1]'

.

.

.

In i number of iteration Pd will be as the following : Pd=[1 0.5 0.5 0.5 1 1 1]'

In i number of iteration Pd will be as the following : Pd=[0.5 0.5 0.5 0.5 0.5 0.5 0.5]'

And so on ... (I want all possible combinations)

Then I want to store 'Pd' vector , 'Dd' matrix and 'w' vector in file which is named 'Comb#number of itertaion' (i.e , Comb1 , Comb2 ... ) in each iteration.

This is a part from the code:

Ph=[1 1 1 1 1 1 1]' ;
Pd=[0.5 1 1 1 1 1 1]' ;

Kd=zeros(14) ; Kh=zeros(14) ;
for i=1:7 ;
    Ki=build_beam(i) ;
    Kd=Kd+Pd(i)*Ki ;
    Kh=Kh+Ph(i)*Ki ; 
end ;
a=1:2:14; 
r=7 ;
[Vd,Dd]=eig(Kd,M) ;
Dd=diag(Dd) ; 
[Dd,I]=sort(Dd) ; Dd=Dd(1:vibmodes) ; 
Vd=Vd(:,I); Td=Vd(:,1:vibmodes) ; Td=Td(a,:) ;
Dd=diag(Dd) ;
w=sqrt((diag(Dh)));

Answer 1

[Matt J]

Well, here are all the combinations. You can loop through the rows of Pd and save them after whatever processing you wish. You've seen examples of similar things in previous posts. However, I think it's probably a bad idea to store the results to separate .mat files. You should probably store them all in one matfile as arrays.

[Pd{1:7}]=ndgrid([0.5,1]);

Pd=reshape( cat(8,Pd{:})  ,[],7)

Pd = 128×7

0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 1.0000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 1.0000 0.5000 0.5000 0.5000 0.5000 0.5000 1.0000 1.0000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 1.0000 0.5000 0.5000 0.5000 0.5000 1.0000 0.5000 1.0000 0.5000 0.5000 0.5000 0.5000 0.5000 1.0000 1.0000 0.5000 0.5000 0.5000 0.5000 1.0000 1.0000 1.0000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 1.0000 0.5000 0.5000 0.5000 1.0000 0.5000 0.5000 1.0000 0.5000 0.5000 0.5000

[M]

Thank you @Matt J , but I got the following error:

Unable to perform assignment because brace indexing is not supported for variables of this type.

and your Idea for storing all outputs in one matfile is better but I dont know how to perform that and how to indicate that this output is got from specific iteration of generating Pd vector .

[M]

@Matt J , for example, from the first iteration of Pd I want the outputs name be associated with the number of iteration , for example storing Pd1 w1 and Dd1 .. and so on

[Stephen23]

"I want the outputs name be associated with the number of iteration , for example storing Pd1 w1 and Dd1 .. and so on "

Numbering variable names like that forces you into writing slow, complex, inefficient, buggy code that is hard to debug.

The neat, simple, and very efficient MATLAB approach is to use indexing. You should use indexing.

[Matt J]

Unable to perform assignment because brace indexing is not supported for variables of this type.

You must clear the Pd variable before applying my code.

[M]

@Matt J Thank you so much, it is working now.

[M]

@Stephen Thank you, it is a good idea