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% FEVAL [overload base function]
% Copyright Notice
%
% 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
% (https://github.com/stk-kriging/stk/)
%
% 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 z = feval (lm, x) %#ok<INUSL>
x = double (x);
[n, d] = size (x);
% Use stk_lm_quadratic to compute the quadratic part
z2 = feval (stk_lm_quadratic, x);
% And now compute all monomials of degree exactly 3
z3 = zeros (n, d * (2 + d * (3 + d)) / 6);
c = 1;
for i = 1:d
u = x(:, i);
for j = i:d
v = u .* x(:, j);
for k = j:d
z3(:, c) = v .* x(:, k);
c = c + 1;
end
end
end
z = horzcat (z2, z3);
end % function
%!test
%! n = 15; d = 4;
%! x = stk_sampling_randunif (n, d);
%! P = feval (stk_lm_cubic (), x);
%! assert (isequal (size (P), [n, 1 + d * (11 + d * (6 + d)) / 6]))
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