/usr/share/octave/packages/interval-2.1.0/@infsup/mince.m is in octave-interval 2.1.0-2.
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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} mince (@var{X})
## @defmethodx {@@infsup} mince (@var{X}, @var{N})
##
## Mince interval @var{X} into a row vector of @var{N} sub-intervals of equal
## size.
##
## The sub-intervals are returned in ascending order and may overlap due to
## round-off errors.
##
## If @var{X} is not a scalar, the result is a matrix. The default value for
## @var{N} is 100.
##
## Accuracy: The result is an accurate enclosure.
##
## @example
## @group
## mince (infsup (0, 10), 4)
## @result{} ans = 1×4 interval vector
##
## [0, 2.5] [2.5, 5] [5, 7.5] [7.5, 10]
## @end group
## @end example
## @seealso{@@infsup/linspace, @@infsup/bisect}
## @end defmethod
## Author: Oliver Heimlich
## Keywords: interval
## Created: 2015-07-19
function x = mince (x, n)
if (nargin > 2)
print_usage ();
return
endif
if (not (isa (x, "infsup")))
x = infsup (x);
endif
if (nargin < 2)
n = 100;
endif
base = limit = x;
idx.type = '()';
idx.subs = {isfinite(x.inf)};
base = subsasgn (base, idx, infsup (subsref (x.inf, idx)));
idx.subs = {isfinite(x.sup)};
limit = subsasgn (limit, idx, infsup (subsref (x.sup, idx)));
boundaries = linspace (base, limit, n + 1);
l = boundaries.inf(:, 1 : end - 1);
u = boundaries.sup(:, 2 : end);
empty = vec (isempty (x));
l(empty, :) = inf;
u(empty, :) = -inf;
x.inf = l;
x.sup = u;
endfunction
%!assert (isequal (mince (infsup (0, 10), 10), infsup (0 : 9, 1 : 10)));
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