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## Copyright (C) 2014 Daniel Kraft <d@domob.eu>
## GNU Octave level-set package.
##
## 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 -*-
## @deftypefn {Function File} {@var{res} =} ls_issubset (@var{phi1}, @var{phi2})
##
## Check if the set described by @var{phi1} is a subset of @var{phi2}.
##
## @seealso{ls_inside, ls_equal, ls_disjoint, ls_check}
## @end deftypefn
function res = ls_issubset (phi1, phi2)
if (nargin () ~= 2)
print_usage ();
endif
if (~all (size (phi1) == size (phi2)))
error ("PHI1 and PHI2 must be of the same size");
endif
res = ls_check (phi2, "contain", ls_inside (phi1));
endfunction
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Tests.
% Test for error conditions.
%!error <Invalid call to>
%! ls_issubset (1)
%!error <Invalid call to>
%! ls_issubset (1, 2, 3)
%!error <PHI1 and PHI2 must be of the same size>
%! ls_issubset (1, [1, 2])
% Basic tests for the cases.
%!test
%! n = 50;
%! x = linspace (-10, 10, n);
%! [XX, YY] = meshgrid (x, x);
%!
%! phi1 = XX.^2 + YY.^2 - 1^2;
%! phi2 = XX.^2 + YY.^2 - 5^2;
%! phi3 = XX.^2 + YY.^2 - 8^2;
%! phi4 = (XX - 3).^2 + YY.^2 - 3^2;
%!
%! assert (ls_issubset (phi1, phi2));
%! assert (ls_issubset (phi4, phi3));
%! assert (~ls_issubset (phi4, phi2));
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