/usr/share/octave/packages/interval-1.4.1/@infsup/max.m is in octave-interval 1.4.1-1.
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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 82 83 84 85 86 | ## Copyright 2014-2016 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 {@@infsup} max (@var{X})
## @defmethodx {@@infsup} max (@var{X}, @var{Y})
## @defmethodx {@@infsup} max (@var{X}, [], @var{DIM})
##
## Compute the maximum value chosen from intervals.
##
## This function does not return the greatest element of the interval (see
## @code{sup}), but returns an interval enclosure of the function:
## @display
## max (@var{x}, @var{y}) = ( (x + y) + abs (x - y) ) / 2
## @end display
##
## With two arguments the function is applied element-wise. Otherwise the
## maximum is computed for all interval members along dimension @var{DIM},
## which defaults to the first non-singleton dimension.
##
## Accuracy: The result is a tight enclosure.
##
## @example
## @group
## x = infsup (2, 3);
## y = infsup (1, 2);
## max (x, y)
## @result{} ans = [2, 3]
## @end group
## @end example
## @seealso{@@infsup/min}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-04
function result = max (x, y, dim)
if (not (isa (x, "infsup")))
x = infsup (x);
endif
switch (nargin)
case 1
l = max (x.inf);
u = max (x.sup);
u (any (isempty (x))) = -inf;
case 2
if (not (isa (y, "infsup")))
y = infsup (y);
endif
l = max (x.inf, y.inf);
u = max (x.sup, y.sup);
u (isempty (x) | isempty (y)) = -inf;
case 3
if (not (builtin ("isempty", y)))
warning ("max: second argument is ignored");
endif
l = max (x.inf, [], dim);
u = max (x.sup, [], dim);
u (any (isempty (x), dim)) = -inf;
otherwise
print_usage ();
return
endswitch
result = infsup (l, u);
endfunction
%!test "from the documentation string";
%! assert (max (infsup (2, 3), infsup (1, 2)) == infsup (2, 3));
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