/usr/share/octave/packages/interval-3.1.0/exacttointerval.m is in octave-interval 3.1.0-5.
This file is owned by root:root, with mode 0o644.
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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 90 91 92 93 94 95 96 97 | ## Copyright 2014-2016 Oliver Heimlich
## Copyright 2017 Joel Dahne
##
## 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
## @defun exacttointerval (@var{S})
## @defunx exacttointerval (@var{L}, @var{U})
## @defunx exacttointerval (@var{M})
##
## Create a bare interval. Fail, if the interval cannot exactly represent the
## input.
##
## Typically, this function operates on interval literals @var{S}. It is also
## possible to pass lower and upper boundaries @var{L} and @var{U}, or create a
## point-interval with a midpoint @var{M}.
##
## All valid input formats of the @code{infsup} class constructor are
## allowed. By giving a cell as input it is possible to create
## N-dimensional interval arrays. If this function creates an
## interval array, all interval boundaries must be representable with
## binary64 numbers.
##
## Accuracy: The equation
## @code{@var{X} == exacttointerval (intervaltoexact (@var{X}))} holds for all
## intervals.
##
## @example
## @group
## w = exacttointerval ("[ ]")
## @result{} w = [Empty]
## x = exacttointerval ("[2, 3]")
## @result{} x = [2, 3]
## y = exacttointerval ("[,]")
## @result{} y = [Entire]
## z = exacttointerval ("[21e-1]")
## @print{} ??? exacttointerval: interval wouldn't be exact
## @end group
## @end example
## @seealso{@@infsup/intervaltoexact, @@infsup/infsup}
## @end defun
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-01
function result = exacttointerval (varargin)
switch (nargin)
case 0
[result, exactconversion] = infsup ();
case 1
[result, exactconversion] = infsup (varargin {1});
case 2
[result, exactconversion] = infsup (varargin {1}, varargin {2});
otherwise
print_usage ();
return
endswitch
if (not (exactconversion))
error ("interval:UndefinedOperation", ...
"exacttointerval: interval wouldn't be exact")
endif
endfunction
%!assert (isempty (exacttointerval ("[Empty]")));
%!assert (isentire (exacttointerval ("[Entire]")));
%!test "common interval";
%! y = exacttointerval ("[0, 1]");
%! assert (inf (y), 0);
%! assert (sup (y), 1);
%!test "point interval";
%! y = exacttointerval ("[42]");
%! assert (inf (y), 42);
%! assert (sup (y), 42);
%!test "unbound interval";
%! y = exacttointerval ("[-4, Infinity]");
%! assert (inf (y), -4);
%! assert (sup (y), inf);
%!error exacttointerval ("[0, 0.1]");
%!error exacttointerval ("[1, 0]");
%!test "N-dimensional array";
%! i = infsup (reshape (1:24, 2, 3, 4));
%! assert (exacttointerval (intervaltoexact (i)) == i);
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