/usr/share/octave/packages/interval-2.1.0/@infsupdec/ceil.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 | ## 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 {@@infsupdec} ceil (@var{X})
##
## Round each number in interval @var{X} towards +Inf.
##
## Accuracy: The result is a tight enclosure.
##
## @example
## @group
## ceil (infsupdec (2.5, 3.5))
## @result{} ans = [3, 4]_def
## ceil (infsupdec (-0.5, 5))
## @result{} ans = [0, 5]_def
## @end group
## @end example
## @seealso{@@infsupdec/floor, @@infsupdec/round, @@infsupdec/roundb, @@infsupdec/fix}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-10-13
function result = ceil (x)
if (nargin ~= 1)
print_usage ();
return
endif
result = newdec (ceil (x.infsup));
## Between two integral numbers the function is constant, thus continuous
discontinuos = not (issingleton (result));
result.dec(discontinuos) = min (result.dec(discontinuos), _def ());
onlyrestrictioncontinuous = issingleton (result) & fix (sup (x)) == sup (x);
result.dec(onlyrestrictioncontinuous) = ...
min (result.dec(onlyrestrictioncontinuous), _dac ());
result.dec = min (result.dec, x.dec);
endfunction
%!# from the documentation string
%!assert (isequal (ceil (infsupdec (2.5, 3.5)), infsupdec (3, 4, "def")));
%!assert (isequal (ceil (infsupdec (-.5, 5)), infsupdec (0, 5, "def")));
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