## Copyright (C) 2005-2011 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, 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

    ## We only want numeric, logical, and char matrices.
    valid = cellfun (@isnumeric, c);
    valid |= cellfun (@islogical, c);
    valid |= cellfun (@ischar, c);
    validc = cellfun (@iscell, c);
    valids = cellfun (@isstruct, c);

    if (! all (valid(:)) && ! all (validc(:)) && ! all (valids(:)))
      error ("cell2mat: wrong type elements or mixed cells, structs and matrices");
    endif

    ## 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...

    sc = size (c);
    nd = ndims (c);
    [~, isc] = sort (sc);
    for idim = isc
      if (sc(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

endfunction

## Tests
%!shared C, D, E, F
%! 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);
%!assert (cell2mat ({}), []);
## Demos
%!demo
%! C = {[1], [2 3 4]; [5; 9], [6 7 8; 10 11 12]};
%! cell2mat (C)
