allcomb(varargin)

version 4.2.0.0 (4.43 KB) by Jos (10584)
All combinations of input (v4.2, apr 2018)

24K Downloads

Updated 30 Apr 2018

View License

Editor's Note: This file was a File Exchange Pick of the Week

ALLCOMB - All combinations
B = ALLCOMB(A1,A2,A3,...,AN) returns all combinations of the elements
in the arrays A1, A2, ..., and AN. B is P-by-N matrix, where P is the product
of the number of elements of the N inputs. This functionality is also
known as the Cartesian Product. The arguments can be numerical and/or
characters, or they can be cell arrays.

Examples:
allcomb([1 3 5],[-3 8],[0 1]) % numerical input:
% -> [ 1 -3 0
% 1 -3 1
% 1 8 0
% ...
% 5 -3 1
% 5 8 1 ] ; % a 12-by-3 array

allcomb('abc','XY') % character arrays
% -> [ aX ; aY ; bX ; bY ; cX ; cY] % a 6-by-2 character array

allcomb('xy',[65 66]) % a combination
% -> ['xA' ; 'xB' ; 'yA' ; 'yB'] % a 4-by-2 character array

allcomb({'hello','Bye'},{'Joe', 10:12},{99999 []}) % all cell arrays
% -> { 'hello' 'Joe' [99999]
% 'hello' 'Joe' []
% 'hello' [1x3 double] [99999]
% 'hello' [1x3 double] []
% 'Bye' 'Joe' [99999]
% 'Bye' 'Joe' []
% 'Bye' [1x3 double] [99999]
% 'Bye' [1x3 double] [] } ; % a 8-by-3 cell array

ALLCOMB(..., 'matlab') causes the first column to change fastest which
is consistent with matlab indexing. Example:
allcomb(1:2,3:4,5:6,'matlab')
% -> [ 1 3 5 ; 1 4 5 ; 1 3 6 ; ... ; 2 4 6 ]

If one of the arguments is empty, ALLCOMB returns a 0-by-N empty array.

See also nchoosek, perms, ndgrid
and nchoose, combn, kthcombn (matlab Central FEX)

Cite As

Jos (10584) (2022). allcomb(varargin) (https://www.mathworks.com/matlabcentral/fileexchange/10064-allcomb-varargin), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2015a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!