PERMUTATIONS WITH REPETITION/REPLACEMENT COMBINATOR(N,K,'p','r') -- N >= 1, K >= 0. So I wonder, what is missing in is my code is there another function/code needed for my version of matlab? N= length(A); Inlining and simplyfying NDGRID leads to (REPMAT can be omitted then): Lets take a small example: I=3:6 and I want to have permutations of 3 with repetition: We should have a list with 4^3 possible outcomes. http://mathworld.wolfram.com/Combination.html, https://www.mathsisfun.com/combinatorics/combinations-permutations.html, @Marc, thanks for your interest and suggestions for improvement. Best Answer. combine different vector matrix 3d. It is clear from the example that this submission generates what is sometimes called "permutations with repetitions": If this submission truly calculated the combinations then the sets {0,0,1}, {0,1,0}, and {1,0,0} are all equivalent, and would not all appear in the output shown in the example. end %[Y{k:-1:1}] = ndgrid(X) ; a=zeros(l^N,N); Any Suggestions? Follow 198 views (last 30 days) Timo on 16 ... [1 3 2 6 4 5] . I don't need to store the permutations at all. C = cell(1, N); 1. 2. Choose a web site to get translated content where available and see local events and offers. Some of them are: 3 3 3, 3 3 4, 3 3 5, 3 3 6, 3 4 3, 3 4 4, 3, 4 5, 3 4 6, ......., 6 6 3, 6 6 4, 6 6 5, 6 6 6. % permn can be used generate a binary table, as in Find the treasures in MATLAB Central and discover how the community can help you! A permutation is an ordering of a set of objects. ), permn - permutations with repetition This is particulary useful when you only need a few But can be made still a little bit faster: The permutations of the pairs does not matter %-----1- n should be even. Create scripts with code, output, and formatted text in a single executable document. [1x3 double] 1 3 for example i want to be able to return the following: M = permn([99 7],4) % returns the 16-by-4 matrix: X = fliplr(reshape(cat(N+1,X{:}),[],N)) ; M = COMBN([0 1],150) All combinations from a set of rows without repetition of elements. Y( ((i-1)*nX^k + 1) : (i*nX^k) ) = X(s{1:i-1}, :, s{i:k-1}); Combinations with repetition. M = permn([1 2 3],2) % returns the 9-by-2 matrix: Taking 5 at a time. L = length(X); for i=1:N permutations. Easy to use, fast, and suitable for incorporating into other programs. I explain it with an exemple. I believe you are describing permutations of restricted integer partitions, though your example doesn't seem complete. => 40-50% faster. N_PERMUTE_K, VChooseKRO, de Bruijn sequence generator, Kautz sequence generator, permnsub(V,N, IX). I know, Stephen. A must have. NB Matrix sizes increases exponentially at rate (n^N)*N. MATLAB: Permutations with repetition of vectors in different matrices. What you have there is permutations w/ repetition with S = 2. 1. Here, all the permutations are generated in 1 go and then stored in the huge allstrs array. A permutation of a set of objects is an ordering of those objects. l= length of V. A=[30 30 30 30 30 30 60 60 60 60 60 60 60 60 30 30 30 30 30 30]; [c,b] = hist(A,unique(A)); 1 1 It saved me much time! 7 7 7 99 There are 2 kinds of permutations: Permutations with Repetition - You can re-use the same element within the order, such as in the lock from the previous question, where the code could be "000". B = permn([0 1],5) % Check with permn using two inputs Yet, for code compatibility (and fairness) you need to implement to inverse order step as well :-). Does anyone have an idea on how to create a function like "combn" but where the generated matrix contains only monotone rows? Can someone tell me how I can call this in my own MatLab program. I decided to keep the original name for backward compatibility. Permutations with repetition, all or a subset, You may receive emails, depending on your. * If the order does matter it is a Permutation. Note that this function is more than 10 years old and still regularly downloaded. I have Already wasted hours trying to code it but glad I found your code. 'hello!' I'd like to know how combine different vector in order to obtain different matrix. and M will be of the but it's limited to 10. i need 20. Thanks! Permutations with repetition. X = X(:); Choose a web site to get translated content where available and see local events and offers. Nice and comapct program! permn - File Exchange - MATLAB Central, permutations of N elements taken from the vector V, with repetitions. If a, b, c, etc. I’m trying to create a permutation with Field_A, Field_B, Field_C, taking a value from each field once a time to create a vector (Answer) with 3 elements . % which are the 2nd, 124th, 21st and 99th permutations end, where n= number of elements (as N here) and 99 99 7 99 That saved me hours of trying to code that function, thanks! This is an example of permutation with repetition because the elements are repeated and their order is important. % Note that M2 is a 125-by-3 matrix See also perms, nchoosek Yet I bounce very quickly against maximum variable size for Matlab. M has the size numel(K)-by-N. Does what it says, but there really should be an option to treat elements as non-unique. modified slightly based on suggestions by Jan Simon (thanks! M = permn({'hello!' The latter aspects were pretty straightforward in MATLAB and offered great opportunities to consolidate my learning, but as far as DL goes I have had a bad taste in my mouth for little over two years now. MATLAB: How to compute Permutation without repetition. x = permn(b,N); %function permn. Does exactly what it says on the tin. I would need it WITH repetition. When additional restrictions are imposed, the situation is transformed into a problem about permutations with restrictions. I only get an error when applying the code as I said before. Matlab combinations with repetition. Accelerating the pace of engineering and science. I am very surprised this is not a build in function. Inspired: A top submission on FEX, that should be in everyone's collection of handy functions. X = reshape(cat(N+1, C{:}), [], N); Incorporated the functionality of permnsub, allowing for returning a subset rather than all permutations as well. Permutations without repetition - Each element can only appear once in the order. I could calculate all permutations (I found some scripts), but I need it for vectors with more than 2000 elements. Permutation with repetitions Sometimes in a group of objects provided, there are objects which are alike. Example 1. Permutations with repetition by treating the elements as an ordered set, and writing a function from a zero-based index to the nth permutation. MathWorks is the leading developer of mathematical computing software for engineers and scientists. It gives me another error: Error using perms. Any idea? M = permn(V, N, K) % returns the 4-by-3 matrix: * If the order doesn't matter, it is a Combination. % 11 15 11 If you had asked for, say, all permutations of five numbers chosen out of a larger number like ten, I would have had to do more work above. Permutations with Repetition. I'm new to MatLab. Thank you. I can, of course, first create all combinations with this program and then find(m*ones(N,1)==1). Thanks! Retrieved January 1, 2021. However, I would like to avoid identical permutations such as these. Can't find a better suited H1-line. I don't use combinatorics very much but I always wonder why matlab doesn't cover it esplicitly. Jos (10584) (2021). are different numbers, do this: The core of this function is a lovely little computational gem. C{N} = X; is this possible? I could do it manually by removing non-monotone rows after having built the matrix, but when the size of the matrix becomes large i got out of memory error. Just like perm command works. X = permute(X, [1:i-1, i+1, i]); 2 3 Field_A = [50 60 70 80] Field_B = [ 10 30 90 100] Field_C = [100 500 700 1000] Only one value should be selected from each field to create all possible answers (Vector of three elements). 6.3 Permutations and Combinations Permutations De nition 1. Accelerating the pace of engineering and science. In statistics, the two each have very specific meanings. If X is filled in reverse order with [X{N:-1:1}], FLIPLR can be omitted => 25% faster for COMBN(1:10, 5) (see my comment for ALLCOMB) I would need it WITH repetition. same type as V. If V is empty or N is 0, M will be empty. [X{1:N}] = ndgrid(X{:}) ; l=length(V); [1x3 double] [1x3 double] Roger Stafford pointed out that, due to the IEEE 754 standard, the floor of a floating point (as used in COMBN's algorithm) may lead to faulty results for very specific inputs. 2 1 s(1:k-1) = {ones(1, nX)}; Since K will ideally be large, it is not feasible to first generate all permutations and then filter them according to these criteria. size numel(V).^N-by-N. works great, but is there a way to beat the limitation? The limitation i bounce very quickly against maximum variable size for MATLAB, for code compatibility ( fairness. Of changes made to the page matter it is a Combination always wonder why MATLAB does cover... 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