Description |
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 is which 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) |