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% STK_ISDOMINATED returns true for dominated rows
%
% CALL: ISDOM = stk_isdominated (A, B)
%
% returns a vector ISDOM of logicals, where ISDOM(i) is true if A(i, :)
% is dominated by one of the rows of B. A row B(j, :) is said to
% dominate A(i, :) if
%
% B(j, k) <= A(i, k) for all k in {1, 2, ..., d}
%
% and
%
% B(j, k) < A(i, k) for at least one such k,
%
% where d is the number of columns. In other words: smaller is better.
%
% CALL: ISDOM = stk_isdominated (A, B, DO_SORTROWS)
%
% does the same but, if DO_SORTROWS == false, assumes that the rows of
% B are already sorted in ascending lexical order.
%
% CALL: [ISDOM, DPOS] = stk_isdominated (A, B, DO_SORTROWS)
%
% also returns a vector DPOS such that DPOS(i) = 0 if A(i, :) is non-
% dominated, and DPOS(i) gives the index of a row in B that dominates
% A(i, :) otherwise.
%
% See also: sortrows, stk_paretofind, stk_dominatedhv
% Copyright Notice
%
% Copyright (C) 2015 CentraleSupelec
% Copyright (C) 2014 SUPELEC
%
% Author: Julien Bect <julien.bect@centralesupelec.fr>
% Copying Permission Statement
%
% This file is part of
%
% STK: a Small (Matlab/Octave) Toolbox for Kriging
% (http://sourceforge.net/projects/kriging)
%
% STK 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.
%
% STK 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 STK. If not, see <http://www.gnu.org/licenses/>.
function [isdom, dpos, Bsnd] = stk_isdominated (A, B, do_sortrows)
A = double (A);
B = double (B);
if nargin < 3,
do_sortrows = true;
end
if do_sortrows,
ndpos = stk_paretofind (B);
Bsnd = B(ndpos, :);
end
if nargout < 2
isdom = __stk_isdominated_mex__ (A, Bsnd);
else
[isdom, drank] = __stk_isdominated_mex__ (A, Bsnd);
if do_sortrows,
dpos = zeros (size (drank));
dpos(isdom) = ndpos(drank(isdom));
end
end
end % function
%!test
%! A = [1 3 2];
%! B = [0 0 0];
%! [isdom, dpos] = stk_isdominated (A, B);
%! assert (isdom == 1);
%! assert (dpos == 1);
%!test
%! A = [1 3 2];
%! B = [0 0 3];
%! [isdom, dpos] = stk_isdominated (A, B);
%! assert (isdom == 0);
%! assert (dpos == 0);
%!test
%! A = [1 3 2];
%! B = [0 0 0; 0 0 3];
%! [isdom, dpos] = stk_isdominated (A, B);
%! assert (isdom == 1);
%! assert (dpos == 1);
%!test
%! A = [1 3 2];
%! B = [0 0 3; 0 0 0];
%! [isdom, dpos] = stk_isdominated (A, B);
%! assert (isdom == 1);
%! assert (dpos == 2);
%!test
%! A = [1 3 2; 1 0 1; -1 0 0; 1 3 2];
%! B = [1 0 0; 0 0 3; 0 0 0];
%! [isdom, dpos] = stk_isdominated (A, B);
%! assert (isequal (isdom, logical ([1; 1; 0; 1])));
%! assert (isequal (dpos, [3; 3; 0; 3]));
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