/usr/share/octave/packages/interval-2.1.0/@infsup/sumsq.m is in octave-interval 2.1.0-2.
This file is owned by root:root, with mode 0o644.
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##
## 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} sumsq (@var{X})
## @defmethodx {@@infsup} sumsq (@var{X}, @var{DIM})
##
## Sum of squares along dimension @var{DIM}. If @var{DIM} is omitted,
## it defaults to the first non-singleton dimension.
##
## Accuracy: The result is a tight enclosure.
##
## @example
## @group
## sumsq ([infsup(1), pow2(-1074), -1])
## @result{} ans ⊂ [2, 2.0001]
## @end group
## @end example
## @seealso{@@infsup/plus, @@infsup/sum, @@infsup/sumabs}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-26
function result = sumsq (x, dim)
if (nargin > 2)
print_usage ();
return
endif
if (isempty (x.inf))
if (isa (x, 'infsupdec'))
result = infsupdec (0);
else
result = infsup (0);
endif
return
endif
x = abs (x);
if (nargin < 2)
result = dot (x, x);
else
result = dot (x, x, dim);
endif
endfunction
%!# from the documentation string
%!assert (sumsq ([infsup(1), pow2(-1074), -1]) == infsup (2, 2+eps*2));
%!assert (sumsq (infsup ([])) == 0);
%!# correct use of signed zeros
%!test
%! x = sumsq (infsup (0));
%! assert (signbit (inf (x)));
%! assert (not (signbit (sup (x))));
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