/usr/share/octave/packages/interval-2.1.0/@infsup/realsqrt.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 | ## 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} realsqrt (@var{X})
##
## Compute the square root (for all non-negative numbers).
##
## Accuracy: The result is a tight enclosure.
##
## @example
## @group
## realsqrt (infsup (-6, 4))
## @result{} ans = [0, 2]
## @end group
## @end example
## @seealso{@@infsup/sqr, @@infsup/rsqrt, @@infsup/pow, @@infsup/cbrt, @@infsup/nthroot}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-01
function x = realsqrt (x)
l = mpfr_function_d ('realsqrt', -inf, max (0, x.inf));
u = mpfr_function_d ('realsqrt', +inf, max (0, x.sup));
emptyresult = isempty (x) | x.sup < 0;
l(emptyresult) = inf;
u(emptyresult) = -inf;
l(l == 0) = -0;
x.inf = l;
x.sup = u;
endfunction
%!# from the documentation string
%!assert (realsqrt (infsup (-6, 4)) == infsup (0, 2));
%!# correct use of signed zeros
%!test
%! x = realsqrt (infsup (0));
%! assert (signbit (inf (x)));
%! assert (not (signbit (sup (x))));
%!test
%! x = realsqrt (infsup (0, 2));
%! assert (signbit (inf (x)));
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