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## Copyright (C) 2005-2013 Laurent Mazet
## Copyright (C) 2010 Jaroslav Hajek
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 3 of the License, or (at
## your option) any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING. If not, see
## <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{m} =} cell2mat (@var{c})
## Convert the cell array @var{c} into a matrix by concatenating all
## elements of @var{c} into a hyperrectangle. Elements of @var{c} must
## be numeric, logical, or char matrices; or cell arrays; or structs; and
## @code{cat} must be able to concatenate them together.
## @seealso{mat2cell, num2cell}
## @end deftypefn
function m = cell2mat (c)
if (nargin != 1)
print_usage ();
endif
if (! iscell (c))
error ("cell2mat: C is not a cell array");
endif
nb = numel (c);
if (nb == 0)
m = [];
else
## Check first for valid matrix types
valid = cellfun ("isnumeric", c);
valid = cellfun ("islogical", c(! valid));
valid = cellfun ("isclass", c(! valid), "char");
if (! all (valid(:)))
valid = cellfun ("isclass", c, "cell");
if (! all (valid(:)))
valid = cellfun ("isclass", c, "struct");
if (! all (valid(:)))
error ("cell2mat: wrong type elements or mixed cells, structs, and matrices");
endif
endif
endif
sz = size (c);
if (all (cellfun ("numel", c)(:) == 1))
## Special case of all scalars
m = reshape (cat (1, c{:}), sz);
else
## The goal is to minimize the total number of cat() calls.
## The dimensions can be concatenated along in arbitrary order.
## The numbers of concatenations are:
## n / d1
## n / (d1 * d2)
## n / (d1 * d2 * d3)
## etc.
## This is minimized if d1 >= d2 >= d3...
nd = ndims (c);
[~, isz] = sort (sz, "descend");
for idim = isz
if (sz(idim) == 1)
continue;
endif
xdim = [1:idim-1, idim+1:nd];
cc = num2cell (c, xdim);
c = cellfun ("cat", {idim}, cc{:}, "uniformoutput", false);
endfor
m = c{1};
endif
endif
endfunction
%!demo
%! C = {[1], [2 3 4]; [5; 9], [6 7 8; 10 11 12]};
%! cell2mat (C)
%!assert (cell2mat ({}), []);
%!test
%! C = {[1], [2 3 4]; [5; 9], [6 7 8; 10 11 12]};
%! D = C; D(:,:,2) = C;
%! E = [1 2 3 4; 5 6 7 8; 9 10 11 12];
%! F = E; F(:,:,2) = E;
%! assert (cell2mat (C), E);
%! assert (cell2mat (D), F);
%!test
%! m = rand (10) + i * rand (10);
%! c = mat2cell (m, [1 2 3 4], [4 3 2 1]);
%! assert (cell2mat (c), m);
%!test
%! m = int8 (256*rand (4, 5, 6, 7, 8));
%! c = mat2cell (m, [1 2 1], [1 2 2], [3 1 1 1], [4 1 2], [3 1 4]);
%! assert (cell2mat (c), m);
%!test
%! m = {1, 2, 3};
%! assert (cell2mat (mat2cell (m, 1, [1 1 1])), m);
%!error cell2mat ()
%!error cell2mat (1,2)
%!error <C is not a cell array> cell2mat ([1,2])
%!error <mixed cells, structs, and matrices> cell2mat ({[1], struct()})
%!error <mixed cells, structs, and matrices> cell2mat ({[1], {1}})
%!error <mixed cells, structs, and matrices> cell2mat ({struct(), {1}})
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