/usr/share/octave/packages/interval-2.1.0/@infsupdec/cat.m is in octave-interval 2.1.0-2.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 | ## Copyright 2016 Oliver Heimlich
##
## This program 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.
##
## This program 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 this program; if not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @documentencoding UTF-8
## @defmethod {@@infsupdec} cat (@var{DIM}, @var{MATRIX1}, @var{MATRIX2}, @dots{})
##
## Return the concatenation of interval matrices @var{MATRIX1}, @var{MATRIX2},
## … along dimension @var{DIM}.
##
## Interval matrices support no more than 2 dimensions.
##
## @example
## @group
## cat (2, infsupdec (magic (3)), infsupdec (pascal (3)))
## @result{} 3×6 interval matrix
##
## [8]_com [1]_com [6]_com [1]_com [1]_com [1]_com
## [3]_com [5]_com [7]_com [1]_com [2]_com [3]_com
## [4]_com [9]_com [2]_com [1]_com [3]_com [6]_com
## @end group
## @end example
## @seealso{@@infsup/horzcat, @@infsup/vertcat}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2016-10-09
function result = cat (dim, varargin)
if (isa (dim, "infsup"))
print_usage ();
return
endif
if (dim > 2)
error ("interval:InvalidOperand", ...
"cat: no more than 2 dimensions are supported");
endif
## Conversion of non-interval and undecorated parameters to decorated intervals
decorated_interval_idx = cellfun ("isclass", varargin, "infsupdec");
to_convert_idx = not (decorated_interval_idx);
varargin(to_convert_idx) = cellfun (@infsupdec, ...
varargin(to_convert_idx), ...
"UniformOutput", false);
## Stack intervals along dimension dim
s = cellfun ("struct", varargin); # struct array
result = infsupdec ();
result.infsup = cat (dim, s.infsup);
result.dec = cat (dim, s.dec);
endfunction
%!assert (size (cat (1, infsupdec ([]), infsupdec ([]))), [0 0]);
%!assert (isequal (cat (1, infsupdec (1), infsupdec (2)), infsupdec (cat (1, 1, 2))));
%!assert (isequal (cat (2, infsupdec (1), infsupdec (2)), infsupdec (cat (2, 1, 2))));
%!assert (isequal (horzcat (infsupdec (1), infsupdec (2)), infsupdec (horzcat (1, 2))));
%!test
%! a = infsupdec (2, 5);
%! assert (isequal (horzcat (a, a, a), infsupdec ([2, 2, 2], [5, 5, 5])));
%!assert (isequal (vertcat (infsupdec (1), infsupdec (2)), infsupdec (vertcat (1, 2))));
%!test
%! a = infsupdec (2, 5);
%! assert (isequal (vertcat (a, a, a), infsupdec ([2; 2; 2], [5; 5; 5])));
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