## Copyright 2014 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
## @defmethod {@@infsup} interior (@var{A}, @var{B})
##
## Evaluate interior comparison on intervals.
##
## True, if all numbers from @var{A} are also contained in @var{B}, but are no
## boundaries of @var{B}.  False, if @var{A} contains a number which is not a
## member in @var{B} or which is a boundary of @var{B}.
##
## Evaluated on interval arrays, this functions is applied element-wise.
##
## @seealso{@@infsup/eq, @@infsup/subset, @@infsup/disjoint}
## @end defmethod

## Author: Oliver Heimlich
## Keywords: interval
## Created: 2014-09-30

function result = interior (a, b)

  if (nargin ~= 2)
    print_usage ();
    return
  endif
  if (not (isa (a, "infsup")))
    a = infsup (a);
  endif
  if (not (isa (b, "infsup")))
    b = infsup (b);
  endif

  result = ((b.inf < a.inf | (b.inf == -inf & a.inf == -inf)) & ...
            (a.sup < b.sup | (a.sup == inf & b.sup == inf)));

  result(isempty (a) & isempty (b)) = true ();

endfunction

%!assert (interior (infsup (1, 2), infsup (0, 3)));

%!shared testdata
%! # Load compiled test data (from src/test/*.itl)
%! testdata = load (file_in_loadpath ("test/itl.mat"));

%!test
%! # Scalar evaluation
%! testcases = testdata.NoSignal.infsup.interior;
%! for testcase = [testcases]'
%!   assert (isequaln (...
%!     interior (testcase.in{1}, testcase.in{2}), ...
%!     testcase.out));
%! endfor

%!test
%! # Vector evaluation
%! testcases = testdata.NoSignal.infsup.interior;
%! in1 = vertcat (vertcat (testcases.in){:, 1});
%! in2 = vertcat (vertcat (testcases.in){:, 2});
%! out = vertcat (testcases.out);
%! assert (isequaln (interior (in1, in2), out));

%!test
%! # N-dimensional array evaluation
%! testcases = testdata.NoSignal.infsup.interior;
%! in1 = vertcat (vertcat (testcases.in){:, 1});
%! in2 = vertcat (vertcat (testcases.in){:, 2});
%! out = vertcat (testcases.out);
%! # Reshape data
%! i = -1;
%! do
%!   i = i + 1;
%!   testsize = factor (numel (in1) + i);
%! until (numel (testsize) > 2)
%! in1 = reshape ([in1; in1(1:i)], testsize);
%! in2 = reshape ([in2; in2(1:i)], testsize);
%! out = reshape ([out; out(1:i)], testsize);
%! assert (isequaln (interior (in1, in2), out));
