# Random and unique number generation with constraints.

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Asad Abbas 2016 年 9 月 6 日
コメント済み: Asad Abbas 2016 年 9 月 7 日
Please help me. Here is given my given code where random number generation of 0 and 1 and find the unique solutions with given matrix 119*9.
pop_size = 119;
x = randi([0,1],pop_size,9);
chk = true;
while chk
[~,idx] = unique(x,'rows');
idy = setdiff(1:pop_size,idx);
x(idy,:) = randi([0,1],numel(idy),9);
chk = numel(idy)>0;
end
I want apply some constraints.
1. alternative values in c1 (first column) and c2 (second column) such as
c1 c2 c3 c4 c5 c6 c7 c8 c9
0 1 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
2. alternative values in c3, c4, c5 and c6 such as
c1 c2 c3 c4 c5 c6 c7 c8 c9
0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0 0 0
0 0 0 1 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0 0 0
3. at least 1 among c7, c8 and c9
c1 c2 c3 c4 c5 c6 c7 c8 c9
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 1 0
0 0 0 0 0 0 1 1 1
0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 1 1
0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 1 1
After getting all my upper constraints my final task is to combine all as given bellow.
there are three groups
1. c1 and c2
2. c3,c4,c5 and c6
3. c7,c8 and c9
Between groups there is OR operation. as given below
c1 c2 c3 c4 c5 c6 c7 c8 c9
1 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 0
0 0 0 1 0 0 0 0 0
0 0 0 0 1 0 0 0 0
0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 1 1 0
0 0 0 0 0 0 1 0 1
1 0 0 1 0 0 1 1 0
Something like this
If I compute all possible solutions in this way. I get 119 unique combinations
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Asad Abbas 2016 年 9 月 6 日
@Stephen Cobeldick Sir there are three groups
1. c1 and c2
2. c3,c4,c5 and c6
3. c7,c8 and c9
Between groups there is or operation.

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### 採用された回答

John D'Errico 2016 年 9 月 6 日
For example, are you asking to create a random matrix such that in each ROW, the elements in columns 1 and 2 must be either [0 1] or [1 0]?
If so, then just compute a matrix with the desired number of rows that have either of those two possibilities.
N = 119;
possibleSet = [0 1;1 0];
np = size(possibleSet,1);
M12 = possibleSet(ceil(rand(N,1)*np),:);
Next, create columns 3 through 6 separately, as desired. Combine with the first two columns.
If this is your goal, then just do it. But I have an inkling that you may have meant something entirely different, or that your real problem is far more complex.
##### 3 件のコメント表示非表示 2 件の古いコメント
Asad Abbas 2016 年 9 月 7 日
Thank you so much Sir. Its working now to follow your suggestions. I have got all 119 unique solutions.

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