/usr/share/octave/packages/interval-2.1.0/@infsup/round.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 82 83 84 85 86 87 88 89 | ## 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} round (@var{X})
##
## Round each number in interval @var{X} to the nearest integer. Ties are
## rounded away from zero (towards +Inf or -Inf depending on the sign).
##
## Accuracy: The result is a tight enclosure.
##
## @example
## @group
## round (infsup (2.5, 3.5))
## @result{} ans = [3, 4]
## round (infsup (-0.5, 5))
## @result{} ans = [-1, +5]
## @end group
## @end example
## @seealso{@@infsup/floor, @@infsup/ceil, @@infsup/roundb, @@infsup/fix}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-04
function x = round (x)
if (nargin ~= 1)
print_usage ();
return
endif
x.inf = round (x.inf);
x.sup = round (x.sup);
x.inf(x.inf == 0) = -0;
x.sup(x.sup == 0) = +0;
endfunction
%!# Empty interval
%!assert (round (infsup ()) == infsup ());
%!# Singleton intervals
%!assert (round (infsup (0)) == infsup (0));
%!assert (round (infsup (0.5)) == infsup (1));
%!assert (round (infsup (0.25)) == infsup (0));
%!assert (round (infsup (0.75)) == infsup (1));
%!assert (round (infsup (-0.5)) == infsup (-1));
%!# Bounded intervals
%!assert (round (infsup (-0.5, 0)) == infsup (-1, 0));
%!assert (round (infsup (0, 0.5)) == infsup (0, 1));
%!assert (round (infsup (0.25, 0.5)) == infsup (0, 1));
%!assert (round (infsup (-1, 0)) == infsup (-1, 0));
%!assert (round (infsup (-1, 1)) == infsup (-1, 1));
%!assert (round (infsup (-realmin, realmin)) == infsup (0));
%!assert (round (infsup (-realmax, realmax)) == infsup (-realmax, realmax));
%!# Unbounded intervals
%!assert (round (infsup (-realmin, inf)) == infsup (0, inf));
%!assert (round (infsup (-realmax, inf)) == infsup (-realmax, inf));
%!assert (round (infsup (-inf, realmin)) == infsup (-inf, 0));
%!assert (round (infsup (-inf, realmax)) == infsup (-inf, realmax));
%!assert (round (infsup (-inf, inf)) == infsup (-inf, inf));
%!# correct use of signed zeros
%!test
%! x = round (infsup (0));
%! assert (signbit (inf (x)));
%! assert (not (signbit (sup (x))));
%!test
%! x = round (infsup (-0.25, 0.25));
%! assert (signbit (inf (x)));
%! assert (not (signbit (sup (x))));
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